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S1007570420301167 | Modulation instability rogue waves and spectral analysis are investigated for the nonlinear Schrdinger equation with the higher order terms . The modulation instability distribution characteristics from the sixth order to eighth order nonlinear Schrdinger equations are studied . Higher order dispersion terms are closel... | High order dispersion terms affect the distribution of the MS regime n order dispersion term corresponds to n 2 modulation stability curves. Parameter a determines the deflection direction deflection angle and width of rogue wave solution while. 6 determines the width and amplitude. Based on the spectral analysis rogue... |
S1007570420301179 | The study of an airfoil at low Reynolds number regime was found to be a typical problem where the inception of bifurcations leads the flow evolution from a stationary or periodic behaviour to a purely chaotic one . The present work extends the present literature where numerical investigations of the flow field past two... | Numerical study of a stalled symmetric airfoil at low Reynolds number. Discussion of bifurcation and non linear phenomena. Accurate numerical simulations performed with a Vortex Particle Method. Discussion of the time evolution of the forces with links to the wakes topology. Phase portrait diagrams are evaluated for th... |
S1007570420301180 | When a network is reconstructed from data two types of errors can occur false positive and false negative errors about the presence or absence of links . In this paper the vertex degree distribution of the true underlying network is analytically reconstructed using an iterative procedure . Such procedure is based on th... | When a network is reconstructed false positive and false negative errors can occur. The vertex degree distribution of the underlying network is analytically reconstructed. An iteration procedure converges to the correct reconstruction. |
S1007570420301192 | The paper considers a new type of solutions for shunting inhibitory cellular neural networks strongly unpredictable oscillations . The conditions for the existence uniqueness and stability of the solutions are determined . Numerical examples are given to show the feasibility of the obtained results . | Shunting inhibitory cellular neural networks are under investigation. The models with strongly unpredictable inputs are considered. The line of periodic and almost periodic motions is continued with unpredictable oscillations. Existence and uniqueness of asymptotically stable strongly unpredictable solutions are proved... |
S1007570420301209 | Arrays of oscillators driven out of equilibrium can support the coexistence between coherent and incoherent domains that have become known as chimera states . Recently we have reported such an intriguing self organization phenomenon in a chain of locally coupled Duffing oscillators . Based on this prototype model we re... | Coexistence between complex spatiotemporal domains is numerically observed in locally coupled Duffing oscillator chain. A supercritical transition between localized complex spatiotemporal states. Characterization of the complexity of localized states as the energy injection increase. |
S1007570420301222 | In this paper the generalized trigonometric functions are modified for solving of the ordinary differential equation describing the motion of the strong nonlinear oscillator . The generalized trigonometric functions related to the p Laplacian which is the nonlinear differential operator are modified for solving equatio... | Modified generalized trigonometric function is solutions of nonlinear oscillators. New Modified Krylov Bogolubov method is developed. The tooth support motion is modelled as a strong nonlinear oscillator. Analytical and experimental results for tooth motion are in good agreement. |
S1007570420301234 | In this paper several efficient energy dissipative linear difference schemes are presented and analyzed for solving the coupled nonlinear damped fractional wave equations . First the weighted shifted Grnwald difference formula is used to approach the considered fractional system in space direction . Then we apply secon... | It is significant to develop energy dissipative conservative numerical methods for simulating propagation of the coupled nonlinear damped space fractional wave equations in long time duration. We develop and analyze efficient linear energy dissipative difference schemes for the coupled nonlinear damped space fractional... |
S1007570420301246 | This paper solves the event triggered passivity problem for multiple weighted coupled delayed reaction diffusion memristive neural networks with fixed and switching topologies . On the one side by designing appropriate event triggered controllers several passivity criteria for MWCDRDMNNs with fixed topology are derived... | Several event triggered passivity criteria for MWCDRDMNNs with fixed topology are proposed. Some conditions are obtained for ensuring passivity based synchronization of the MWCDRDMNNs. The event triggered passivity for switched MWCDRDMNNs are discussed. The obtained theoretical results are illustrated by two numerical ... |
S1007570420301258 | The two dimensional shallow water equations with constant Coriolis parameter and variable topography bottom in mass Lagrangian coordinates are studied in this paper . The equations describing these flows are reduced to two Euler Lagrange equations . Group classification of these equations with respect to the function d... | The studied equations are reduced to two EulerLagrange equations. The Lagrangian and Hamiltonian formalism of these equations is given. The transformations mapping the shallow water equations into the gas dynamics equations are found. Complete group classification of these equations with respect to the function describ... |
S1007570420301271 | A chemostat is a widely used laboratory and industrial scale equipment for continuous culture of microalgae and other microorganisms under controlled conditions . Being a photosynthetic organism light and other nutrients are growth limiting for all microalgal species and thus optimization of external conditions is nece... | Light dependent single nutrient limited cell quota based mechanistic model of algae growth in a chemostat is developed. Model solutions are positive and bounded. Sensitivity analysis reveals critical information on the impact of parameters and initial conditions on algae biomass productivity |
S1007570420301283 | The stability of a dynamical system against strong or weak perturbations is an important problem of nonlinear science especially when considering interconnected systems . In this work we use a concept known in the literature as | Stability of a power grid depends on the power distribution and the tripping time. Basin stability does not increase monotonically for shorter tripping time. It is best to not isolate the perturbed generator in heterogeneous power grids. |
S1007570420301295 | Nonlinear oscillators and networks can be synchronized by channel coupling for signal exchange while non coupling synchronization between chaotic oscillators can be obtained by applying the same stochastic disturbance for inducing resonance . For most of realistic dynamical systems physical energy and biophysical energ... | A new neural circuit composed of phototube is built for detecting optical signal. This new neuron model can sense and encode external illumination and is used as an artificial eye. This light dependent neurons can be synchronized without synapse coupling. Stochastic photocurrent driving can realize and enhance complete... |
S1007570420301301 | In recent years there has been growing interest in nonlinear inverse problems of spectral analysis for integro differential operators . However in spite of permanently increasing number of works there are still no numerical results in this direction . The first aim of this paper is to fill this gap by developing an eff... | Global solution to a nonlinear inverse problem for integro differential operators is given. Stability of the inverse problem in appropriate metrics is established. An effective numerical algorithm is proposed for solving the inverse problem. Results of the numerical simulation are provided and discussed. |
S1007570420301313 | This paper presents a one dimensional superconducting photonic crystal refractive index biosensor with high sensitivity which consists of a periodic arrangement of superconductors and semiconductors . The biosensor has high sensitivity and accuracy in the refractive index range of 1.0 to 2.2 RIU below the critical temp... | Ablood tissues detection biosensor based on superconducting photonic crystal working at low temperature is proposed. The performance of the biosensor is simulated by FDTD finite difference time domain method. The results show that it is feasibility and high performance of the biosensor in blood tissues detectionat low ... |
S1007570420301337 | The nonlinear partial differential governing equations of the planar motion of a Z shaped structure are derived using Hamilton s principle . The 1 2 internally resonant global analytical mode shapes are validated by figure contrast and the modal assurance criterion . The partial differential governing equations are tru... | The resonant global analytical mode shapes are obtained by considering both the axial and transverse displacements. The analytical mode shapes are validated based on figure comparisons and MACs. The steady state responses of the system are solved as functions of the frequency and amplitude of the excitation. Periodic m... |
S1007570420301349 | Stationary density functions statistically characterize the stabilized behavior of dynamical systems . Instead of temporal sequences of data stationary densities are observed to determine the unknown transformations which is called the inverse Frobenius Perron problem . This paper proposes a new approach to determining... | One dimensional discrete time dynamical systems are inferred from stationary densities generated by the systems in the presence of input perturbation. The main assumption is that the stationary densities can be observed and estimated given arbitrary initial conditions. The unique stationary density function generated b... |
S1007570420301350 | In this paper we develop a mathematical model for the spread of the coronavirus disease 2019 . It is a new | Mathematical model for coronavirus disease that fits well the spread in China. New. SEIHRD model taking into account undetected infections. Validation of the model with the reported data on China. Estimation of errors when identifying parameters at early stages of the pandemic. Different scenarios to show the impact of... |
S1007570420301428 | In this paper we discuss a diffusive predator prey model with nonlocality and delay . Stability and bifurcation analysis suggest that the joint impacts of the nonlocal term and delay result in instability of the positive constant steady state . Moreover steady state Hopf and steady state Hopf bifurcations and interacti... | Effect of spatial average and delay on the predator prey model is investigated. Conditions for stability steady state bifurcation and Hopf bifurcation are obtained. Algorithm of normal form of steady state Hopf bifurcation for system with spatial average and delay is derived. Spatiotemporal dynamical classification nea... |
S1007570420301441 | In this study we present a general formulation for the optimal control problem to a class of fuzzy fractional differential systems relating to SIR and SEIR epidemic models . In particular we investigate these epidemic models in the uncertain environment of fuzzy numbers with the rate of change expressed by granular Cap... | Optimal control problem governed by fuzzy fractional differential systems. Granular SIR and SEIR epidemic models are introduced. A Numerical Scheme to Solve Fractional Optimal Control Problems. An application of real data extracted from COVID 19 pandemic. |
S1007570420301453 | In this work a discretized two dimensional Leslie Gower prey predator model is investigated . The results for the existence and uniqueness and the conditions for the local asymptotic stability of the solutions are determined . It is also exhibited that the discrete system undergoes Neimark Sacker flip and fold bifurcat... | A fractional ordered Leslie Gower prey predator model is studied. Jury stability test is applied to get certain conditions for occurrence of Neimark Sacker bifurcation flip bifurcation and fold bifurcation. A wide range of dynamics viz. periodic solution quasi periodicity and chaos is obtained. Three chaos control tech... |
S1007570420301544 | This study examines the stability and potential bifurcations of a stratified shear flow governed by the non rotating incompressible Boussinesq equation at a low Pclet number . For the ratio of the vertical scale to the horizontal scale of a stratified flow | It proves that a stratified shear flow governed by the non rotating incompressible Boussinesq equation at a low Pclet number becomes unstable as the Reynold number Re is above a threshold. There exists a supercritical Hopf bifurcation in the non rotating incompressible Boussinesq equation at the threshold. An upper bou... |
S1007570420301581 | This paper examines the state estimation issue of genetic regulatory networks including time delays and leakage delay term subject to unified dissipativity performance based on the Lyapunov functional approach . The main aim of the proposed state estimator is to access the true concentrations of the proteins and mRNAs ... | The generalized dissipativity concept is implemented for GRNs to estimate the state. The state estimation echnique proposed in the framework of LMIs via a novel improved integral inequality together with the RCI technique. The developed criterion ensures that the estimated error dynamics to be asymptotically stable and... |
S1007570420301611 | In this paper we propose a novel technique called dispersion transfer entropy to determine the information transfer and causal relation in the analysis of complex systems . Symbolization is used to solve the computational burden and noise sensitivity . To deal with the two major issues in symbolization generating parti... | We propose dispersion transfer entropy DTE to determine the information transfer and causal relation in the analysis of complex systems. Symbolization is used to solve the computational burden and noise sensitivity. We extend DTE into the multivariate system and propose dispersion multivariate transfer entropy DMTE and... |
S1007570420301635 | In this paper we explore the phase space structures governing isomerization dynamics on a potential energy surface with four wells and an index 2 saddle . For this model we analyze the influence that coupling both degrees of freedom of the system and breaking the symmetry of the problem have on the geometrical template... | Analysis of the phase space structures associated to index 2 saddles with Lagrangian descriptors. Detection of reactivity regions for which the system undergoes distinct isomerization routes. Influence of coupling and symmetry breaking perturbations on the systems dynamical behavior. |
S1007570420301659 | In this paper the dynamical behaviors of an optimal velocity model with delayed feedback control of velocity difference is studied . By analyzing the transcendental characteristic equation the stable region of controlled OVM is obtained and the critical condition for Hopf bifurcation is derived . To stabilize the unsta... | The stability and bifurcation are analyzed in an OVM with time delayed feedback control of velocity differences. The first stable intervals of time delay and feedback gain are determined by using the improved definite integral stability method. The control method can suppress traffic jam by choosing feedback gain and t... |
S1007570420301672 | This paper is dedicated to the resilient input to state stable filter design for nonlinear time delay systems subject to external disturbance input . Two types of time delay are taken into account . First novel analysis results on input to state stability for the filtering error systems are presented on the basis of th... | The issue of input to state stable filter design for nonlinear time delay systems subject to bounded external disturbance input and gain variations is considered. Novel analysis results on input to state stability for the filtering error systems are presented on the basis of the Lyapunov functional method. Computationa... |
S1007570420301684 | This paper is concerned with a general cross diffusion system modeling the population dynamics of two competitive predator and one prey with predator taxis . Firstly through the use of contraction mapping principle the Schauder estimates and | Considere the general three species two predators and one prey cross diffusion predator prey system with predator taxis. Investigate the existence uniqueness and boundedness of non negative classical solution. The global existence and uniqueness of non negative classical solution for this system are proved. Several num... |
S1007570420301726 | Cardiac myocyte electrical activity is traditionally approximated with ideal resistor capacitor circuit networks . However non ideal circuit components may provide a more realistic approximation of excitable cell behavior . Such non ideal circuit components are governed by fractional order dynamics and contribute capac... | Fractional order differential equations models can simulate non ideal electrical circuit components. Cardiac electrical models with non ideal circuit components account for physiological capacitive memory effects. Electrical instabilities known as alternans can arise in cardiac cells via voltage or calcium mediated mec... |
S1007570420301738 | This paper reports a new chaotic system generated from the simplest memristor chaotic circuit by introducing a simple nonlinear feedback control input . The principal feature of the new system is that it has infinitely many equilibria and abundant coexisting attractors . The dynamic evolution of the system with respect... | A new chaotic system with infinitely many coexisting attractors is presented. The dynamic behaviors of the new system are studied. The abundant coexisting attractors of the system are presented. The electronic circuit and microcontroller based implementation of the new system is studied. The consistence between the cir... |
S100757042030174X | This paper studies the leader following bounded consensus problem for multi agent systems in the present of denial of service attacks by means of event triggered control strategy . Due to the existence of DoS attacks the original system is transformed into a switched system with both stable and unstable modes . Moreove... | A novel explicit characterization of the frequency and duration properties of DoS attacks is proposed. The bounded consensus of leader following systems can be still achieved in the presence of DoS attacks. The system under event triggered control does not exhibit Zeno behavior by utilizing the new proposed method. |
S1007570420301751 | The one dimensional shallow water equations in Eulerian and Lagrangian coordinates are considered . It is shown the relationship between symmetries and conservation laws in Lagrangian coordinates and symmetries and conservation laws in mass Lagrangian variables . For equations in Lagrangian coordinates with a flat bott... | Relationship between symmetries and conservation laws in Lagrangian potential coordinates and symmetries and conservation laws in mass Lagrangian variables is shown. For the one dimensional shallow water equations in Lagrangian coordinates with a flat bottom an invariant difference scheme is constructed which possesses... |
S1007570420301763 | This paper investigates the robust stability of fractional order systems described in pseudo state space model with incommensurate fractional orders . An existing non conservative robust stability criterion for integer order systems is extended to incommensurate order fractional systems by using the generalized Nyquist... | A robust stability condition for incommensurate pseudo state space model is proposed. For some well known uncertainty structures some stability conditions are proposed. These conditions can be employed for different order systems without defining the additional pseudo state variables. The method for interval uncertaint... |
S1007570420301775 | In contrast to a non regulated market a regulated market can be defined as a market affected by external factors which cause abnormal behaviors in market prices . Nevertheless these behaviors are not enough to ignore the fundamental principles of finance while many econophysicists do so . In this paper it is considered... | Option pricing in a regulated market is formulated as an integral whose kernel can be found solving an inhomogeneous space fractional diffusion equation. A Generalized Fractional Path Integral is introduced to formulate the solution of the inhomogeneous space fractional diffusion equation. An Asymmetric Fractional Path... |
S1007570420301799 | Alzheimers disease is a worldwide disease of dementia and is characterized by beta amyloid plaques . Increasing evidences show that there is a positive feedback loop between the level of beta amyloid and the level of calcium . In this paper stochastic noises are incorporated into a minimal model of Alzheimers disease w... | Stochastic noises are introduced into the model of Alzheimers disease. Analytic conditions for stochastic P bifurcation are obtained. A formula is presented for the mean switching time from a mild impairment state to a pathological state. A disease index is proposed for the early warning of disease. The results provide... |
S1007570420301805 | We identify two types of dynamical bifurcations generated primarily by interactions of an invariant attracting submanifold with stable and unstable manifolds of hyperbolic fixed points . These bifurcation types inspired by recent investigations of mathematical models for walking droplet phenomena are introduced and ill... | Experimentalists often study the chaotic walking of droplets on a fluid bath. Discrete dynamical models of walking droplets exhibit a variety of bifurcations. Homoclinic heteroclinic bifurcations of the models lead to chaos. |
S1007570420301830 | A three dimensional nonlinear system modeling the enzymatic reaction of a substrate and two products is considered . We study how stochastic fluctuations of substrate input affect bistability regimes with coexisting equilibrium and limit cycle as well as birhythmicity with two coexisting cycles . For the analysis of no... | Effects of random noise on the Goldbeter biochemical 3D model are studied. We analyze a noise induced bistability and birhythmicity. We apply the method of analysis based on confidence domains. Stochastic transformations from order to chaos are discussed. |
S100757042030191X | Derivatives of fractional order are introduced in different ways as left inverse of the fractional integral or by generalizing the limit of the difference quotient defining integer order derivatives . Although the two approaches lead to equivalent operators the first one does not involve the function at the left of the... | Initial conditions for fractional delay differential equations are discussed. Effects of the initial conditions on the fractional derivative are studied. Exact solutions of linear fractional delay differential equations. Numerical approximations of nonlinear fractional delay differential equations are considered. |
S1007570420301945 | This paper reports a sequential design of linearly controlling a three dimensional quadratic system to a simple six dimensional hyperchaotic system with complex dynamics . By adding three linear dynamical controllers the resulting 6D system has no equilibrium and a hidden attractor which has four positive Lyapunov expo... | Presents a new 6D hidden hyperchaotic system with four positive Lyapunov exponents which has no equilibrium or one equilibrium line or two equilibrium lines depending on different parameter values. Shows that the new system has many unusual complex dynamical behaviors such as infinitely many singularly degenerate heter... |
S1007570420301957 | It has been a challenge to formulate network based control measures on infectious diseases especially on emerging diseases due to the complexity of the network topology . Generally isolating high degree nodes is one of the intuitive intervention measures . The final size and the epidemic duration are two vital evaluati... | We reduce a 3K dimension SIR mean field model to an equivalent low dimension model by the reducing dimension technique. We provide the exact expression of the final size and the epidemic duration based on the mean field model. We formulate two isolation measures of high degree nodes and analyze the effects of the measu... |
S1007570420301969 | In this paper a system with energy harvester behavior is modeled by non smooth coupled oscillators subjected to harmonic and random excitations . A modified harmonic balance method is proposed to study the dynamics of the oscillators under harmonic driving . Then the probabilistic response of the system under bounded a... | Harmonic excitation strength is a critical parameter to improve the device efficacy. The device efficacy is optimum for certain nonlinear magnetic coupling coefficient. Single peak mode PDFs are observed in the weak parameter regime. Stochastic P bifurcation only appears in the hard coupling regime of the system. Piezo... |
S1007570420301982 | A time fractional Allen Cahn equation with volume constraint is first proposed by introducing a nonlocal time dependent Lagrange multiplier . Adaptive linear second order energy stable schemes are developed for the proposed model by combining invariant energy quadratization and scalar auxiliary variable approaches with... | A volume preserving time fractional Allen Cahn model is developed. Adaptive linear second order energy stable schemes are developed. The proposed adaptive time stepping algorithms are appropriate for accurately resolv ing the initial singularity of solution and for efficiently capturing the fast dynamics away initial t... |
S1007570420301994 | This paper is concerned with the coupled modified Korteweg de Vries equations . We derive infinite conservation laws through the Lax pair of the cmKdV equations . Through the analysis of the spectral stability with the conservation laws we obtain the nonlinear stability of breather solutions to the cmKdV equations . | The exact new breather type soliton solutions which is generalize of the breather solutions. We get stability tests via computing the generalized Weinstein conditions for the cmKdV breather solutions. According to the conservation laws we get variational characterization of breather solutions. Through the analysis of t... |
S1007570420302008 | In this work we inspect the integrability of a natural Hamiltonian system interpreted physically as the motion of a particle in the Euclidean plane under the effect of conservative forces derived from a certain type of a non homogeneous potential . We announce the necessary conditions for its integrability by using the... | A new theorem is introduced to study the integrability of a Hamiltonian system with certain type of nonhomogeneous potential. This new theory is more effective in studying the integrability of galactic potentials systematically. A new integrable problem which generalizes the Swinging Atwood machine is announced. |
S1007570420302021 | In this paper we investigate the mechanism of rotating waves in a ring of unidirectionally coupled Lorenz systems . Rotating waves in our Lorenz systems are special cases of rotating periodic solutions in nonlinear systems . Rotating periodic solutions as a generalization of periodic solutions have the form | The aim is to establish the Hopf bifurcation theorem of rotating periodic solutions in odd dimensional systems or systems coupled by multiple odd dimensional subsystems. Hopf bifurcation theorem of rotating periodic solutions can be used to analyze the mechanism of rotating waves in systems such as the unidirectionally... |
S1007570420302045 | While COVID 19 is rapidly propagating around the globe the need for providing real time forecasts of the epidemics pushes fits of dynamical and statistical models to available data beyond their capabilities . Here we focus on statistical predictions of COVID 19 infections performed by fitting asymptotic distributions t... | Statistical predictions of COVID 19 infections performed by asymptotic distributions. Large uncertainties are found at the early stages of the epidemic growth. Uncertainties at a regional level highlight the delay in the spread of the virus. Long term extrapolation of epidemics counts must be handled with extreme care.... |
S1007570420302057 | Intraguild predation is a type of interaction in which a top predator simultaneously competes and predates an intermediate prey that shares a third prey species with the top predator . While common in nature most theoretical population dynamics models proposed in the literature predict that this three species interacti... | Nonlinearity induced by the defense mechanism can induce the emergence of a wide regime of species coexistence. Very strong nonlinearities may lead to the extinction of the top predator population. There is an optimal nonlinearity at which the convergence towards the stationary coexistence regime is the fastest. |
S1007570420302203 | An error analysis of a super convergent discontinuous Galerkin method formulated in mixed form and applied to a general class of semi linear equations is presented . To reduce the computational cost at each time step the nonlinear term is approximated with a Lagrange interpolatory operator . Optimal convergence of orde... | Optimal convergence for both the primary and auxiliary variables. Super convergence of a post processed primary variable. Decoupling of nonlinear and diffusion terms by an operator splitting technique. Efficient preconditioner based on FSAI factorization. |
S1007570420302215 | Many vector borne disease epidemic models neglect the fact that in modern human civilization social awareness as well as self defence systems are overwhelming against advanced propagation of the disease . News is becoming more effortlessly accessible through social media and mobile apps while apparatuses for disease pr... | Epidemic model with periodic forcing and vectorhost lifespan ratio variation. Two models for the infection rate including social awareness among susceptible hosts. Existence behavior and stability of periodic solutions with respect to the periodic forcing amplitude and adiabatic parameter. Coinciding the slow and criti... |
S1007570420302227 | Biological nervous system is very sensitive to external disturbances and appropriate stimulus is beneficial for improving neural function in the neural system . In this paper the effect of different external stimuli on chaotic dynamics in a Hopfield neural network with three neurons is explored . Mathematical model of ... | In this paper we investigate the chaotic dynamics of a Hopfield neural network under different types of external stimulus. The research results show that the neural network can exhibit different dynamical attractors under different external stimulus. Particularly the neural network simultaneously stimulated by electrom... |
S1007570420302239 | The rich dynamics of a system comprising of a Type I neuron coupled to a Type II neuron via an electrical synapse are explored in this paper . Diverse dynamical behaviour ranging from quiescence and periodic spiking to bursting and burst synchronization were observed for different coupling schemes . The bifurcation mec... | Coupled system of Type 1 and Type 2 neurons with different excitability mechanisms studied. Parameter space of coupled neurons exhaustively studied bursting mechanisms found. We report a unique burst mechanism based on a focus node bifurcation. Reasons underlying transitions from one burst pattern to another investigat... |
S1007570420302240 | A study of primary and secondary instabilities in Rayleigh Bnard convection of water copper nanoliquid is made using a generalized two phase model . Boussinesq approximation and small scale convective motion are assumed to be valid . The Brownian motion effect is assumed to be negligibly small and a weak thermophoretic... | Existence of pitchfork Takens Bogdanov and Hopf bifurcations are reported for nanoliquids. Phase winding and travelling wave solutions of the Newell Whitehead Segel equation are obtained. Conditions for the occurrence of Eckhaus zigzag Benjamin Feir instabilities are presented graphically. The magnitude of influence of... |
S1007570420302252 | The icy moons are in the focus of the exploration plans of the leading space agencies because of the indications of water based life and geological activity observed in a number of these objects . In particular the presence of geyser like jets of water near Enceladus south pole has turned this moon of Saturn into a pri... | Design of shadow heteroclinics between Halo orbits of Saturn Enceladus. Performance of shadow heteroclinics as science orbits is assessed. Ranges times of flight surface coverage and speeds are computed. Solutions offer long uninterrupted views of south pole at low speeds. |
S1007570420302264 | Structural vibrations are very common in aerospace and mechanical engineering systems where dynamic analysis of modern aerospace structures and industrial machines has become an indispensable step in their design . Suppression of unwanted vibrations and their exploitation for energy harvesting at the same time would be... | Nonlinear energy sink energy harvesting device based on coupled Duffing oscillators is proposed. Frequency amplitude and force amplitude responses are investigated by the incremental harmonic balance and continuation methods. Bifurcation points and unstable periodic solutions branches are detected. Short time energy lo... |
S100757042030229X | This paper studies a contemporary event of the sunken Argentinian submarine ARA San Juan S 42 in November 2017 . The submarines wreckage was found one year later on the seabed off the southern Atlantic coast of Argentina with its imploded debris scattered on the seabed at the depth of about 900 meters under sea level .... | Addresses a contemporary event for which there is wide interest. Our approach is computational modeling using the advanced computer modeling software LS DYNA which is comprehensive and can help theory building. We are able to develop the right physics and then use supercomputer to simulate the PDEs and visualize the no... |
S100757042030232X | This paper is concerned with on the event triggered synchronization in fixed time for semi Markov switching dynamical complex networks with multiple weights and discontinuous nonlinearity . Firstly the principle of the global convergence in fixed time with respect to nonlinear systems with semi Markov switching is deve... | A principle about the global stochastic stability in fixed time for the nonlinear system with semi Markov switching is developed see Lemma 2.1. The multiple weights and semi Markov stochastic process are introduced in CDNs the mathematics model with respect to semi Markov switching CDNs with discontinuous nonlinearity ... |
S1007570420302343 | New governing equation is obtained for nonlinear modeling of dynamics of hydrogen concentration in alloys . An influence of the nonlinear terms on the dynamics of hydrogen concentration is studied . A particular case is found when the governing equation admits exact kink shaped traveling wave solution . Numerical simua... | New governing equation for the hydrogen concentration dynamics in alloys. Role of nonlinearities of different nature on the concentration wave. Polarity of the input affects the localized wave of concentration. |
S1007570420302355 | Hopping of individuals among distinct layers can induce inter layer coupling and consequently affect the spreading process in each layer of real world multilayer networks . We articulate a two layer network model where a fraction of nodes are inter layer travelers that can hop between layers . We develop a theoretical ... | We develop a theoretical framework to depict our network model with inter layer travelers and it works well. Intense hopping can lead to simultaneous epidemic outbreak in both layers. Inter layer hopping plays a double sword role in epidemic spreading in that they can either enhance or suppress the process. Recurrent o... |
S1007570420302379 | In this paper we first propose a general strategy to implement the Perfectly Matched Layer approach in the most standard numerical schemes used for simulating the dynamics of nonlinear Schrdinger equations . The methods are based on the time splitting Bao etal . or relaxation Besse schemes in time and FFT based pseudos... | Implementation of PMLs in the framework of standard numerical methods to simulate nonlinear Schrdinger and Gross Pitaevskii equations. Analysis of the accuracy of the various methods. Extension to fast rotating GPE with high nonlinearity. |
S1007570420302380 | In this paper a new and efficient mechanism to compute the normal forms for 1 1 resonant Hopf bifurcation is developed . For a vector field given by ordinary differential equations by assuming that eigenvalues at an equilibrium point are purely imaginary double and non semisimple the mechanism provides a direct method ... | A simple direct method to determine a base of the complementary spaces for the Lie transform is given. The normal forms for vector field with double purely imaginary eigenvalues with geometric multiplicity one are considered. Explicit formulas for the normal forms coefficients with three unfolding parameter is given. U... |
S1007570420302409 | In this paper a periodic Chikungunya model with temperature and rainfall effects is proposed and studied which incorporates time dependent extrinsic incubation period time dependent maturation delay asymptomatic and symptomatic infectious humans . Two threshold parameters for the extinction and persistence of mosquitos... | A periodic Chikungunya model with temperature and rainfall effects is studied. Time dependent maturation delay and extrinsic incubation period are incorporated. Infected humans are divided into symptomatic and asymptomatic compartments. Neglecting rainfall seasonality and asymptomatic compartment infection may be overe... |
S1007570420302422 | Diffusion processes occurring in a myriad of systems sparkle great interest in understanding their general properties and applications . In this work we investigate a broad set of diffusive systems that can be governed by a generalized diffusion equation and subjected to a surface that can promote sorption and conseque... | We investigate diffusive systems governed by a generalized diffusion equation. The sorption desorption modelling incorporates non Debye relaxations. The processes on the surface incorporates non Debye relaxations. We obtain solutions in terms of the Green function approach. We obtain a rich class of behavior that can b... |
S1007570420302434 | It was recently demonstrated that 2D Townes solitons in two component systems with cubic self focusing which are normally made unstable by the critical collapse can be stabilized by linear spin orbit coupling in Bose Einstein condensates and optics alike . We demonstrate that 1D TSs realized as optical spatial solitons... | One dimensional Townes like solitons in the system with quintic attraction may be stabilized by an effective spin orbit coupling SOC . We realize the stabilization mechanism in a model of on a planar double core optical waveguide with the quintic self focusing SOC being emulated by obliquity of the coupling between the... |
S1007570420302446 | In this paper a physical interpretation of the fractional order derivatives effects in a jerk system based on Unstable Dissipative Systems and a Saturated Non Linear Function is presented . The system is electronically implemented in Multisim development platform for a 9 scrolls attractor generation . The behavior is a... | Approach to a Fractional Order Derivatives FOD physical interpretation. Modification in the equilibrium point preference because of the FOD. Calculation of the attractor area in the. phase. Quantification of changes in the statistical properties of the system. A FOD changes the system vector field as a system control p... |
S1007570420302458 | We highlight the existence of a topological horseshoe arising from an apriori stable model of the binary asteroid dynamics . The inspection is numerical and uses correctly aligned windows as described in a recent paper by A. Gierzkiewicz and P. Zgliczyski combined with a recent analysis of an associated secular problem... | The secular motions of binary asteroid system interacting with a planet are analysed. The perihelia of the ellipses of the asteroids afford stable unperturbed motions. A planet orbiting outside and coming close to the asteroids has a perturbing effect. The flow is reduced to a discrete map. Its phasespace is depicted. ... |
S100757042030246X | We present a comprehensive study of nonlinear resonant modal energy scattering and passive vibration suppression in a linear cantilever beam with vibro impact nonlinear energy sinks attached to it . It is well known that vibro impacts are a strong source of non smooth nonlinearity resulting in rapid and intense multi s... | An event driven method based on an explicit variable step integration scheme is used. The VI NES collisions are classified into two categories according to their intensity. The effects of the mass ratio clearance on the resonant energy scattering are given. Optimization studies for single and multiple VI NESs systems w... |
S1007570420302471 | Population persistence and extinction are the most important issues in ecosystems . In the past a few decades various deterministic and stochastic mathematical models with Allee effect have been extensively studied . However in both population and disease dynamics the question of how structural transitions caused by in... | Aiming at the cross disciplinary field of the influence of stochasticity on epidemic problems our paper focuses on the stability transition different from previous studies which mostly dedicate to stability sustaining. With a semi analytically method our systematic explorations with key parameters demonstrate that nois... |
S1007570420302483 | In this paper we explore by means of the method of Lagrangian descriptors the Julia sets arising from complex maps and we analyze their underlying dynamics . In particular we take a look at two classical examples the quadratic mapping | Development of an effective scalar diagnostic to explore the phase space of complex maps. Analysis of the dynamics generated by archetypal exmaples of rational functions and their Julia sets. Algorithm capable of revealing simultaneously external rays equipotentials and laminations. |
S1007570420302501 | Enhancing and essentially generalizing previous results on a class of dimensional nonlinear wave and elliptic equations we apply several new techniques to classify admissible point transformations within this class up to the equivalence generated by its equivalence group . This gives an exhaustive description of its eq... | We develop the theory of equivalence groupoids of classes of differential equations. A new version of the algebraic method of group classification is suggested. Notions of regular and singular cases of Lie symmetry extensions are introduced. We perform group classification of a class of nonlinear wave and elliptic equa... |
S1007570420302513 | This study addresses the nonlinear forced vibration of a deep curved microbeam with a noncontact actuator . The photostrictive actuator is subjected to an ultraviolet switching excitation and the governing equations are derived based on the couple stress theory . The von Krmn geometric nonlinearity is utilized to obtai... | The nonlinear forced vibration of a curved beam via the couple stress theory. Nonlinear equation is solved analytically by employing the multiple scales method. The effects of geometrical characteristics on the nonlinear behaviour are studied. The Influence of micro interactions are evaluated. The considerable effect o... |
S1007570420302562 | A dimensional fifth order integrable model the fifth member of the Kadomtsev Petviashvilli hierarchy is investigated . The Lax pairs and the bilinear form of the system lead to multiple soliton solutions . Applying the velocity resonance conditions to the multiple soliton solutions various types of soliton molecules su... | With the help of the Hirotas bilinear method we obtain the N soliton solutions and the Lax paris of KP5 equation. By means of the velocity resonance condition we derive the soliton molecules and breather molecules for the KP5 equation. We also investigate abundant interaction structure among solitons breathers soliton ... |
S1007570420302574 | In this paper periodic orbits in the nonlinear dynamical system with a fixed point vortex in a periodic flow are investigated . Under the influence of periodic perturbations in the phase space an infinite number of nonlinear resonances with elliptic and hyperbolic periodic orbits arise . It is shown that these orbits e... | Analysis of nonlinear resonances of the KAM and non KAM nature genetic relationship between different orbits. Using the example of a Hamiltonian system with 3 2 degrees of freedom it is shown that all elliptic orbits are destroyed by the universal cascade of period doubling bifurcations. The complex interaction of the ... |
S1007570420302598 | We study the synchronization critical coupling in the Kuramoto model of globally coupled oscillators analyzing natural frequencies distributed according to unimodal functions . Its is shown that asymmetric distributions can lead to a nonmonotonic critical transition when we modify some of their parameters . In particul... | The phase transition in the Kuramoto Model of globally coupled oscillators was investigated. It is shown that asymmetric distributions may lead to a nonmonotonic critical transition when we modify some of their parameters. The numerical evidence of a nonmonotonic critical threshold was predicted by the selfconsistence ... |
S1007570420302628 | The fractional Klein Kramers equation describes the process of subdiffusion in the presence of an external force field in phase space and incorporates a fractional operator in time of order | The numerical methods are positivity preserving being in agreement with the physical properties of the problem. Physical boundary conditions are taken into account and its implementation is done in order to preserve the positivity. The accuracy lost due to the presence of boundaries is recovered using nonuniform meshes... |
S100757042030263X | In this paper we numerically investigate the space fractional nonlinear damped wave equation . We construct a novel high accuracy dissipation preserving finite difference scheme by using the new fourth order fractional central difference operator . Thanks to the toeplitz like differentiation matrix we further raise the... | We propose a new fourth order dissipation preserving difference scheme for space fractional nonlinear damped wave equations. Our proposed fourth order scheme can generate the full toeplitz matrix it is convenient for us to speed up the matrix vector multiplication by fast Fourier transform. We obtain the. and. norm est... |
S1007570420302653 | A novel integrable asymmetric coupling of the Ablowitz Kaup Newell Segur system was generated by the completion process of the integrable coupling . We proved the Liouville integrability of the AKNS integrable coupling by deriving its bi Hamiltonian structures applying the variational identity . Nextly we investigated ... | New multi component asymmetric AKNS equations is constructed first from the completion progress of integrable couplings. For the first time we set up the N fold darboux transformation whichis constrained of the asymmetric model. Some integrable properties are studied in detail such as generalized symmetry and infinity ... |
S1007570420302677 | Using asymptotic methods we investigate a local in a steady state neighbourhood behavior of solutions in the FermiPastaUlam model . Basing on the formalism of the normalization method we got special nonlinear evolution equations . The dynamics of these equations substantially defines the behavior of solutions of origin... | developed the methods of local analysis of dynamics. studied the interaction of waves moving in different directions. got special evolution nonlinear equations to describe the original equation dynamics. |
S1007570420302689 | We investigate throughout this paper the effect of inhomogeneity on the propagation of solitons in ferromagnetic systems governing the magnetization evolution in a magnetic medium . Indeed we focus our attention on a nonlinear evolution equation derived by M. Saravanan and A. Arnaudon 2018 Phys . Lett . A | An integral modified KdV equation is considered. The KdV equation is solved for the solitons solutions using perturbation technique. The effect of inhomogeneity is studied and show deformed soliton excitation. |
S1007570420302707 | The objective of the presented article is to investigate the nonlinear dynamics and vibration of a simply supported fluid conveying pipe coupled with a geometrically nonlinear absorber as well as the occurrence of the targeted energy transfer phenomena in the system . In addition given the sensitivity of passive nonlin... | Vibration control of a pipe with a nonlinear absorber is presented. The nonlinear dynamic behavior of the system is investigated. It is possible for the absorber to perform as a TMD NES or modified NES. Ungrounded configuration is much more efficient than the grounded one. The optimal absorber can perform with high eff... |
S1007570420302720 | The quasi threshold phenomenon in Higgins model with mono stability driven by Gaussian white noise is investigated . The initial excitation phase is identified as escaping event with a specific trajectory defined as the quasi threshold . In the limit of weak noise a group of differential equations governing the optimal... | Defining the most sensitive trajectory as the quasi threshold in mono stable system. Analyzing excitability and quasi threshold phenomenon in terms of large deviation theory. Discussing the behaviors of exit paths based on the computation of quasi potential. Approximating exit location distribution and mean first passa... |
S1007570420302744 | Fractional phase field models have been reported to suitably describe the anomalous two phase transport in heterogeneous porous media evolution of structural damage and image inpainting process . It is commonly different to derive their analytical solutions and the numerical solution to these fractional models is an at... | A time fractional Cahn Hilliard model equipped with the Caputo derivative is studied. A fresh lattice Boltzmann method for the fractional Cahn Hilliard equation is proposed. The proposed model accurately describes interface dynamics with the fractional effect. The predicted system energy conforms to the energy dissipat... |
S1007570420302756 | In this paper we consider an important kind of fractional partial differential equations namely multi term time fractional mixed sub diffusion and diffusion wave equation . The crucial importance of the considered equation is due to the fact that it generalizes some substantial types of fractional differential equation... | The first attempt to apply a spectral method for the two dimensional multi term time fractional mixed sub diffusion and diffusion wave equation is introduced. The operational matrix of second order derivative is extended to the two dimensional case. The time space spectral collocation method is used for the integral fo... |
S1007570420302768 | In this paper we use a phenomenological field theory model to study the first order phase transition from the lamellar phase to the inverse hexagonal phase in specific lipid bilayers . The model is described by a real scalar field with potential that supports both symmetric and asymmetric phase conformations . We adapt... | We consider the lamellar to the inverse hexagonal phase transition. A field theory model is used to study first order phase transition in lipid bilayers. The proposed model correctly predicts the fraction of the inverse hexagonal phase. A new scalar field model supporting asymmetric kinklike configurations is obtained. |
S100757042030277X | In this paper we focus on investigating a dimensional generalized breaking soliton equation with five model parameters which contains a lot of important nonlinear partial differential equations as its special cases . Firstly the integrability features of two special cases of the gBS equation are clarified . Secondly a ... | Some integrable properties of gBS equation are clarified. A systematic method is provided to construct multiple cosh solutions. The non static lump solution and its analysis are presented. The real lump soliton solutions and other exact solutions are obtained. |
S1007570420302811 | Lyapunov exponent is a widely used tool for studying dynamical systems . When calculating Lyapunov exponents for piecewise smooth systems with time delayed arguments one faces a lack of continuity in the variational problem . This paper studies how to build a variational equation for the efficient construction of Jacob... | Calculation of Lyapunov exponents of piecewise smooth DDEs is studied. We focus on the grazing event at where trajectory approaches discontinuity surface. A grazing estimation algorithm is proposed to improve computational accuracy. The method is validated on an impacting system under the delayed feedback control. |
S1007570420302823 | Nonlinear mesoscopic materials exhibit anomalous elastic nonlinearity in which fast and slow dynamics effects are mixed up . The former is an instantaneous nonlinear phenomenon due to the explicit strain dependence of velocity and damping . Slow dynamics is a non equilibrium effect governed by the dependence of the lin... | The different power law dependences of nonlinear indicators observed when slow dynamic effects are removed from the measurement using specific measurement protocols. The dependence of the nonlinearity strength on the measurement time. The longer is the acquisition time the stronger is the cumulative effect of self cond... |
S1007570420302835 | Positive and negative nonlinear integrable lattice hierarchies are established starting from a discrete matrix spectral problem with three potential functions particularly the corresponding Hamiltonian structures are presented respectively with the help of the trace identity all these facts show that these two hierarch... | Construct positive and negative integrable lattice hierarchies and corresponding Hamiltonian structures. Derive the infinite number of conservation laws. Establish. fold Darboux transformations. Present explicit exact solutions and plot figures to illustrate the propagation of solitary waves. |
S1007570420302859 | The main goal of this paper is to understand the formation of hexagonal patterns from the dynamical transition theory point of view . We consider the transitions from a steady state of an abstract nonlinear dissipative system . To shed light on the formation of mixed mode patterns such as the hexagonal pattern we consi... | Generic transitions resulting in the formation of hexagonal patterns is analyzed. All possible transition scenarios are classified using dynamic tansition theory. Applications of results to nonlinear dissipative systems is discussed. |
S1007570420302872 | In this project we study the periodic Dirichlet boundary value problem for a singularly perturbed reaction advection diffusion equation on the segment in case of discontinuous reactive and convective terms . Applying the boundary function method we construct the asymptotic approximation of the periodic solution with in... | The main characteristic of discontinuous singularly perturbed parabolic is that the second partial derivative is discontinuous on the both sides of the discontinuous curve. This characteristic leads to solution often feature a narrow internal layer region of rapid change near the discontinuous curve. Especially the val... |
S1007570420302914 | Delay Sobolev equations are a class of important models in fluid mechanics thermodynamics and the other related fields . For solving this class of equations in this paper linearized compact difference methods for one and two dimensional problems of DSEs are suggested . The solvability and convergence of the methods are... | This paper deals with the numerical computation and analysis for nonlinear delay Sobolev equations. Linearized compact difference methods LCDMs are proposed for solving 1D and 2D nonlinear delay Sobolev equations respectively. The proposed methods are proved to be unique solvable and have secondorder accuracy in time a... |
S1007570420302938 | We propose and analyze a virus to cell and cell to cell infections HIV model that includes intracellular time delay and infection age structure where infection age specific conversion function is considered as the piecewise function related to infection period between initial infection and the formation of productively... | An HIV model that includes intracellular time delay and infection age structure is proposedand analyzed. We employ the integrated semigroup theory and Hopf bifurcation theory for semilinear e quations with non dense domain. A non trivial periodic solution bifurcates from the positive equilibrium. The numerical results ... |
S1040619020300208 | This study develops projections of future spending and savings from electricity efficiency programs funded by electric utility customers in the United States through 2030 based on three scenarios . Our analysis relies on detailed bottom up modeling of current state energy efficiency policies demand side management and ... | In this study we project future spending from electricity efficiency programs funded by utility customers in the U.S. to increase to 8.6 billion in 2030 in the medium scenario about a 45 percent increase relative to 2016 spending. In the high case annual spending increases to 11.1 billion in 2030 and remains relatively... |
S1040619020301135 | The Ontario Energy Board recently heard an application from incumbent demand response providers claiming that changes to the system operators demand response only capacity auction to allow certain generators to participate were unjustly discriminatory . The claim was based on costs borne by demand responders when curta... | Demand response providers who incur variable costs of curtailment should add these costs to Value of Lost Load. Basic economic theory confirms that such bids will contribute to efficiency and maximum gains from trade. Energy payments made to demand responders will incent inefficient demand reductions and create income ... |
S1040619020301160 | Exploiting the implementation of a Prepaid Electricity Program in the region of Antioquia we estimate the impact that switching to a prepaid program has on users energy consumption behavior . In particular we focus the analysis on those that are more vulnerable from a socio economic perspective . The results show that ... | We analyze the impact that switching to a prepaid electricity program has on users energy consumption behaviour. Prepaid electricity consumption schemes supported by AMI can be used as an alternative demand response mechanism. This scheme gives the most vulnerable households a chance to self manage their consumption an... |
S1083879119304781 | Development of autoimmune cytopenia after allogeneic hematopoietic cell transplantation is a serious complication requiring urgent intensification of immunosuppressive therapy . The pathophysiology and predictors of AIC are not completely understood . In this retrospective cohort analysis of 380 pediatric patients we e... | Chemo naivety before HCT and serotherapy are predictors for developing AIC. aGVHD grades II to IV is a predictor for developing AIC. IgM IgG and IgA levels increase before development of AIC. AIC is a rare but severe complication after HCT. Recognizing AIC is challenging and treatment should begin as quickly as possibl... |
S1083879119304975 | Peripheral blood stem cell transplantation is being increasingly performed as an alternative to bone marrow transplantation however PBSCT has not been proven to have equivalent outcome to BMT . We conducted a meta analysis to compare survival rates and treatment related complications between PBSCT and BMT for pediatric... | We report a meta analysis comparing survival rates and treatment related complications between peripheral blood stem cell transplantation PBSCT and bone marrow transplantation BMT for pediatric hematologic malignancies. Overall survival and event free survival were comparable in the PBSCT and BMT groups. The incidences... |
S1083879119305178 | CD19 targeted chimeric antigen receptor modified T cell therapy has shown excellent antitumor activity in patients with relapsed refractory B cell malignancies with very encouraging response rates and outcomes . However the late effects following this therapy remain unknown . Here we report late adverse eventsdefined a... | Hypogammaglobulinemia was the most common late event. Most infections were mild and treated in the outpatient setting. Subsequent malignancies occurred in 15 of patients. 16 of patients with ongoing complete remission and no myelodysplastic syndrome MDS experienced prolonged cytopenias. Graft versus host disease occurr... |
S1083879119305233 | Autologous stem cell transplant is the standard of care for patients with multiple myeloma . The clinical significance of peripheral blood T lymphocyte immunologic changes associated with ASCT is poorly understood . Here we evaluated T cell transcriptional messenger RNA profiles and immunophenotypes to correlate immuno... | Autologous stem cell transplant ASCT induces global transcriptional T cell changes and altered molecular levels of markers of T cell subtypes T cell activation and exhaustion in patients with multiple myeloma. High LAG3 transcript expression in T cells detectable as early as 3 months post transplant is associated with ... |
S1083879119305245 | Philadelphia chromosomelike acute lymphoblastic leukemia is a relatively new entity characterized by high cytokine receptor and tyrosine kinase signaling resulting in multiple downstream pathway stimulation . The standard diagnostic method gene expression profiling is not widely available . Efforts are ongoing to estab... | Ph like ALL is a relatively new entity. Data on the outcomes of allo HCT for Ph like ALL are scarce. Review of literature and recommendations about allo HCT for Ph like ALL patients are presented. |
S1083879119305300 | Treatment for AL amyloidosis aims to eradicate clonal plasma cells thereby disrupting the amyloid deposition causing organ damage . Risk adapted high dose melphalan plus autologous stem cell transplantation is an effective therapy . We conducted a prospective pilot analysis of a comprehensive approach using bortezomib ... | We analyzed treatment with bortezomib and dexamethasone before and after risk adapted autologous stem cell transplantation. This comprehensive 3 phase regimen is safe for the upfront management of AL amyloidosis. We report deep including minimal residual disease negative durable remissions promoting organ recovery. |
S1083879119305580 | Allogeneic blood or marrow transplantation is a potentially curative therapy for patients with primary immunodeficiency . Safe and effective reduced intensity conditioning approaches that are associated with low toxicity use alternative donors and afford good immune reconstitution are needed to advance the field . Twen... | We designed a novel reduced intensity radiation and serotherapy free blood or marrow transplantation BMT platform. A high risk cohort of 20 primary immunodeficiency children and adults received BMT. Acute graft versus host disease GVHD rates were low no chronic GVHD occurred even with alternative donor use. Low toxicit... |
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