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7,700
Parameter estimation in nonlinear stochastic differential equations
nlin.AO
We discuss the problem of parameter estimation in nonlinear stochastic differential equations based on sampled time series. A central message from the theory of integrating stochastic differential equations is that there exists in general two time scales, i.e. that of integrating these equations and that of sampling. W...
physics
7,701
The Minority Game with Variable Payoffs
nlin.AO
In the standard minority game, each agent in the minority group receives the same payoff regardless of the size of the minority group. Of great interest for real social and biological systems are cases in which the payoffs to members of the minority group depend on the size of the minority group. This latter includes t...
physics
7,702
A family of multi-value cellular automaton model for traffic flow
nlin.AO
A family of multi-value cellular automaton (CA) associated with traffic flow is presented in this paper. The family is obtained by extending the rule-184 CA, which is an ultradiscrete analogue to the Burgers equation. CA models in the family show both metastable states and stop-and-go waves, which are often observed in...
physics
7,703
The effect of synchronized area on SOC behavior in a kind of Neural Network Model
nlin.AO
Based on the LISSOM model and the OFC earthquake model, we introduce a self-organized feature map Neural Network model . It displays a "Self Organized Criticality"(SOC) behavior. It can be seen that the feature area (synchronized area) produced by self-organized process brings about some definite effect on SOC behavior...
physics
7,704
Scaling in Athletic World Records
nlin.AO
World records in athletics provide a measure of physical as well as physiological human performance. Here we analyse running records and show that the mean speed as a function of race time can be described by two scaling laws that have a breakpoint at about 150-170 seconds (corresponding to the ~1,000 m race). We inter...
physics
7,705
Cluster Coagulation and Growth Limited by Surface Interactions with Polymers
nlin.AO
The physical and chemical properties of metal nanoparticles differ significantly from those of free metal atoms as well as from the properties of bulk metals, and therefore, they may be viewed as a transition regime between the two physical states. Within this nanosize regime, there is a wide fluctuation of properties,...
physics
7,706
Remarks on scaling properties inherent to the systems with hierarchically organized supplying network
nlin.AO
We study the emergence of a power law distribution in the systems which can be characterized by a hierarchically organized supplying network. It is shown that conservation laws on the branches of the network can, at some approximation, impose power law properties on the systems. Some simple examples taken from economic...
physics
7,707
Spatial competition and price formation
nlin.AO
We look at price formation in a retail setting, that is, companies set prices, and consumers either accept prices or go someplace else. In contrast to most other models in this context, we use a two-dimensional spatial structure for information transmission, that is, consumers can only learn from nearest neighbors. Man...
physics
7,708
Schemata Evolution and Building Blocks
nlin.AO
In the light of a recently derived evolution equation for genetic algorithms we consider the schema theorem and the building block hypothesis. We derive a schema theorem based on the concept of effective fitness showing that schemata of higher than average effective fitness receive an exponentially increasing number of...
physics
7,709
Schemata as Building Blocks: Does Size Matter?
nlin.AO
We analyze the schema theorem and the building block hypothesis using a recently derived, exact schemata evolution equation. We derive a new schema theorem based on the concept of effective fitness showing that schemata of higher than average effective fitness receive an exponentially increasing number of trials over t...
physics
7,710
The Role of Innovation within Economics
nlin.AO
This paper discusses dynamic evolutionary economics, and introduces a model of such.
physics
7,711
Adaptation to the Edge of Chaos in the Self-Adjusting Logistic Map
nlin.AO
Self-adjusting, or adaptive systems have gathered much recent interest. We present a model for self-adjusting systems which treats the control parameters of the system as slowly varying, rather than constant. The dynamics of these parameters is governed by a low-pass filtered feedback from the dynamical variables of th...
physics
7,712
What you always wanted to know about genetic algorithms but were afraid to hear
nlin.AO
In spite of their seemingly "obvious" virtues as a search strategy, genetic algorithms have ended up playing only a modest role as design tools in science and engineering. We review the reasons for this apparent failure, and we suggest a more relaxed view of their utility.
physics
7,713
Transition from coherence to bistability in a model of financial markets
nlin.AO
We present a model describing the competition between information transmission and decision making in financial markets. The solution of this simple model is recalled, and possible variations discussed. It is shown numerically that despite its simplicity, it can mimic a size effect comparable to a crash. Two extensions...
physics
7,714
Function and form in networks of interacting agents
nlin.AO
The main problem we address in this paper is whether function determines form when a society of agents organizes itself for some purpose or whether the organizing method is more important than the functionality in determining the structure of the ensemble. As an example, we use a neural network that learns the same fun...
physics
7,715
Structure-generating mechanisms in agent-based models
nlin.AO
The emergence of dynamical structures in multi-agent systems is analysed. Three different mechanisms are identified, namely: (1) sensitive-dependence and convex coupling, (2) sensitive-dependence and extremal dynamics and (3) interaction through a collectively generated field. The dynamical origin of the emergent struc...
physics
7,716
Synchronization of Kauffman networks
nlin.AO
We analyze the synchronization transition for a pair of coupled identical Kauffman networks in the chaotic phase. The annealed model for Kauffman networks shows that synchronization appears through a transcritical bifurcation, and provides an approximate description for the whole dynamics of the coupled networks. We sh...
physics
7,717
Complex spatial organization in a simple model of resource allocation
nlin.AO
A dynamical model for the distribution of resources between competing agents is studied. While global competition leads to the accumulation of all the resources by a single agent, local competition allows for a wider resource distribution. Multiplicative processes give rise to almost-ordered spatial structures, thourgh...
physics
7,718
The thunder of distant Net storms
nlin.AO
Computers and routers on the Internet send each other error messages (called ICMP datagrams) to signal conditions such as network congestion or blackouts. While these datagrams are very rare, less than 0.001% of total traffic, they hold very important global information about problems and congestions elsewhere in the N...
physics
7,719
Interface dynamics equations: their properties and computer simulation
nlin.AO
We investigate the interface dynamic in Laplacian growth model, using the conformal mapping technique. Starting from the governing equation for the conformal map, obtained by B.Shraiman and D.Bensimon, we derive different possible forms of the equation. Some of them have evident physical representation and are convenie...
physics
7,720
Universal Asymptotic Behavior of Mortgage Prepayments
nlin.AO
Mortgage prepayments play a crucial role in the pricing and hedging of mortgage backed securities. An important feature of mortgage prepayment modeling is burnout; as time goes on those borrowers who have the greatest tendency to refinance are removed from the pool leaving only those that are less likely to refinance. ...
physics
7,721
On Complexity and Emergence
nlin.AO
Numerous definitions for complexity have been proposed over the last half century, with little consensus achieved on how to use the term. A definition of complexity is supplied here that is closely related to the Kolmogorov Complexity and Shannon Entropy measures widely used as complexity measures, yet addresses a numb...
physics
7,722
Complex structures in generalized small worlds
nlin.AO
We propose a generalization of small world networks, in which the reconnection of links is governed by a function that depends on the distance between the elements to be linked. An adequate choice of this function lets us control the clusterization of the system. Control of the clusterization, in turn, allows the gener...
physics
7,723
Synchronizing to the Environment: Information Theoretic Constraints on Agent Learning
nlin.AO
We show that the way in which the Shannon entropy of sequences produced by an information source converges to the source's entropy rate can be used to monitor how an intelligent agent builds and effectively uses a predictive model of its environment. We introduce natural measures of the environment's apparent memory an...
physics
7,724
Asymptotic analysis of a model of autoresonance
nlin.AO
Autoresonance is a phase locking phenomenon occurring in nonlinear oscillatory system, which is forced by oscillating perturbation. Many physical applications of the autoresonance are known in nonlinear physics. The essence of the phenomenon is that the nonlinear oscillator selfadjusts to the varying external condition...
physics
7,725
Scale-free networks are not robust under neutral evolution
nlin.AO
Recently it has been shown that a large variety of different networks have power-law (scale-free) distributions of connectivities. We investigate the robustness of such a distribution in discrete threshold networks under neutral evolution. The guiding principle for this is robustness in the resulting phenotype. The num...
physics
7,726
Two Time Correlation For A Noise Driven Double-Well Oscillator In The Suzuki Regime
nlin.AO
We study the two time correlation for the noise driven dynamics of the double-well oscillator in the Suzuki regime. It is seen that for very small noise strength the correaltion function shows a lack of translational invariance for very long times characterised by the Suzuki scaling variable. We see that in this strong...
physics
7,727
The Ising Model for Changes in Word Ordering Rule in Natural Language
nlin.AO
The order of `noun and adposition' is the important parameter of word ordering rules in the world's languages. The seven parameters, `adverb and verb' and others, have a strong dependence on the `noun and adposition'. Japanese as well as Korean, Tamil and several other languages seem to have a stable structure of word ...
physics
7,728
Using Immunology Principles for Anomaly Detection in Electrical Systems
nlin.AO
The immune system is a cognitive system of complexity comparable to the brain and its computational algorithms suggest new solutions to engineering problems or new ways of looking at these problems. Using immunological principles, a two (or three-) module algorithm is developed which is capable of launching a specific ...
physics
7,729
Function Dynamics
nlin.AO
We show mathematical structure of the function dynamics, i.e., the dynamics of interval maps $f_{n+1} = (1-\e)f_n + \e f_n\circ f_n$ and clarify the types of fixed points, the self-referential structure and the hierarchical structure.
physics
7,730
Averaging of an autoresonance model
nlin.AO
Autoresonance is a phase locking phenomenon occurring in nonlinear oscislatory system, which is forced by oscillating perturbation. Many physical applicatcons of the autoresonance are known in nonlenear physics. The essence of the phenomecon is that the nonlinear oscillator selfadjusts to the varying external condition...
physics
7,731
The avalanche dynamics in Bak-Sneppen evolution model observed with standard distribution width of fitness
nlin.AO
See the updated version arXiv:nlin/0111028.
physics
7,732
Reconstructing Bologna. The City as an Emergent Computational System - A Study in the Complexity of Urban Structures. Part I: The Basic Idea and Fundamental Concepts
nlin.AO
The conceptual background for a detailed study of the urban form of the city of Bologna is discussed with a view to modern methodological insight as it is being presented by recent results of complexity theory and the theory of self-organized criticality. The basic idea is to visualize the city of Bologna as an example...
physics
7,733
Critical Points for Random Boolean Networks
nlin.AO
A model of cellular metabolism due to S. Kauffman is analyzed. It consists of a network of Boolean gates randomly assembled according to a probability distribution. It is shown that the behavior of the network depends very critically on certain simple algebraic parameters of the distribution. In some cases, the analyti...
physics
7,734
Plasticity and learning in a network of coupled phase oscillators
nlin.AO
A generalized Kuramoto model of coupled phase oscillators with slowly varying coupling matrix is studied. The dynamics of the coupling coefficients is driven by the phase difference of pairs of oscillators in such a way that the coupling strengthens for synchronized oscillators and weakens for non-synchronized pairs. T...
physics
7,735
Avalanche dynamics in Bak-Sneppen evolution model observed with standard distribution width of fitness
nlin.AO
We introduce the standard distribution width of fitness to characterize the global and individual features of a ecosystem in the Bak-Sneppen evolution model. Through tracking this quantity in evolution, a different hierarchy of avalanche dynamics, $w_{0}$ avalanche is observed. The corresponding gap equation and the se...
physics
7,736
A nonlinear component of the analytical error
nlin.AO
In clinical chemistry, a number of studies shows that the probability of very large errors is much greater than expected from the Gaussian distribution. In addition, it has been empirically found that the behavior of nonlinear complex systems is often asymptotically exponential. Consequently, we may assume that the err...
physics
7,737
Quasi-stationary Stefan problem and computer simulation of interface dynamics
nlin.AO
The computer simulation of quasistationary Stefan problem has been realized. Different representations of the Laplacian growth model are considered. The main attention has been paid for the interface dynamics represented by integro differential equations. Numerical approach has been realized by use of interpolating pol...
physics
7,738
Dynamical Networks in Function Dynamics
nlin.AO
As a first step toward realizing a dynamical system that evolves while spontaneously determining its own rule for time evolution, function dynamics (FD) is analyzed. FD consists of a functional equation with a self-referential term, given as a dynamical system of a 1-dimensional map. Through the time evolution of this ...
physics
7,739
Decentralization as Organizing Principle of Emergent Urban Structures
nlin.AO
With a view to the ongoing Bologna project (www.arXiv.org/pdf/nlin.AO/0109025) general organizing principles of emergent structures in social systems are being discussed with a view to the meaning of decentralization. It is proposed to introduce decentralization as a principle for organizing emergent structures in a ge...
physics
7,740
Phase Structure of Resource Allocation Games
nlin.AO
We consider a class of games that are generalizations of the minority game, in that the demand and supply of the resource are specified independently. This allows us to study systems in which agents compete under different demand loads. Among other features, we find the existence of a robust phase change with a coexist...
physics
7,741
Complexity in some Physical Systems
nlin.AO
The LMC-complexity introduced by Lopez-Ruiz, Mancini and Calbet [Phys. Lett. A 209, 321-326 (1995)] is calculated for different physical situations: one instance of classical statistical mechanics, normal and exponential distributions, and a simplified laser model. We stand out the specific value of the population inve...
physics
7,742
Emergence of cooperation, network formation and selection of interactions
nlin.AO
We propose a model of emergence of cooperation in evolutionary games that high- lights the role of network formation and effect of network structure. In line with empirical data, the model proposes a mechanism that explains the persistence of heterogeneous types (heterogeneity in rules for changing behavior) within a p...
physics
7,743
A Study on the Relevance of Information in Discriminative and Non-Discriminative Media
nlin.AO
In this paper we compare the relevance of information obtained from "discriminative" media and from "non-discriminative" media. Discriminative media are the ones which accumulate and deliver information using a heuristic selection of it. This can be made by humans, or by artificial intelligent systems, exhibiting some ...
physics
7,744
Models and Metaphors. Part I: From the Boundaries of Formalization to the Visualization of the Non-Formalized
nlin.AO
The explicit relationship among perception, communication, and design is being discussed in some detail, in order to relate it to characteristic details of the modeling of the world which defines the scientific and artistic activities of humans, in the first place, but also the philosophical grasping of the world and i...
physics
7,745
Models and Metaphors. Part II: The Aesthetical Conception of Natural Laws
nlin.AO
Following the results and the general methodological framework of a preceeding paper (Models and Metaphors, part I, henceforth: MM), we develop some results on the epistemological state of natural laws and ask for explicit possibilities of mediating the contexts of nature (in terms of the sciences) and aesthetics.
physics
7,746
The Fractal Dimension of an Oil Spray
nlin.AO
We study the fractal dimension of the contour of the liquid-gas interface in a spray. Our images include both, the linking region and the break-up region and are obtained with a high-resolution shadowgraph technique; this means that the images can then be subject to an intensity filtering, equivalent to a threshold ana...
physics
7,747
Graph Theory and the Evolution of Autocatalytic Networks
nlin.AO
We give a self-contained introduction to the theory of directed graphs, leading up to the relationship between the Perron-Frobenius eigenvectors of a graph and its autocatalytic sets. Then we discuss a particular dynamical system on a fixed but arbitrary graph, that describes the population dynamics of species whose in...
physics
7,748
Catalytic Reaction Sets, Decay, and the Preservation of Information
nlin.AO
We study the ability to maintain information in a population of reacting polymers under the influence of decay, i.e., spontaneous breakdown of large polymers. At a certain decay rate, it becomes impossible to maintain a significant concentration of large polymers, while it is still possible to maintain sets of smaller ...
physics
7,749
Power market dynamics: the statistical mechanics of transaction-based control
nlin.AO
Statistical mechanics provides a useful analog for understanding the behavior of complex adaptive systems, including power markets and the power systems they intend to govern. Transaction-based control is founded on the conjecture that the regulation of complex systems based on price-mediated strategies (e.g., auctions...
physics
7,750
Coarse Bifurcation Diagrams via Microscopic Simulators: A State-Feedback Control-Based Approach
nlin.AO
The arc-length continuation framework is used for the design of state feedback control laws that enable a microscopic simulator trace its own open-loop coarse bifurcation diagram. The steering of the system along solution branches is achieved through the manipulation of the bifurcation parameter, which becomes our actu...
physics
7,751
Phase Structures of Resource Allocation Games
nlin.AO
We consider a class of games that are generalizations of the minority game, in that the demand and supply of the resource are specified independently. This allows us to study systems in which agents compete for a resource under different demand loads. Among other features, we find, using numerical simulations the exist...
physics
7,752
Towards a theory of consciousness: Proposal for the resolution of the homunculus fallacy with predictions
nlin.AO
In this paper we argue that no forms of Turing test are either necessary or sufficient to establish if a machine is conscious or not. Furthermore, from a modeling point of view, the problem is that the Turing test does not really provide testable predictions. We believe that the model structure should explain the funct...
physics
7,753
Nasca Lines: A Mystery wrapped in an Enigma
nlin.AO
We analyze the geometrical structure of the astonishing Nasca geoglyphs in terms of their fractal dimension with the idea of dating these manifestations of human cultural engagements in relation to one another. Our findings suggest that the first delineated images consist of straight, parallel lines and that having sop...
physics
7,754
Statistical Mechanics: A Possible Model for Market-based Electric Power Control
nlin.AO
Statistical mechanics provides a useful analog for understanding the behavior of complex adaptive systems, including electric power markets and the power systems they intend to govern. Market-based control is founded on the conjecture that the regulation of complex systems based on price-mediated strategies (e.g., auct...
physics
7,755
Approach to self-similarity in Smoluchowski's coagulation equations
nlin.AO
We consider the approach to self-similarity (or dynamical scaling) in Smoluchowski's equations of coagulation for the solvable kernels $K(x,y)=2$, $x+y$ and $xy$. In addition to the known self-similar solutions with exponential tails, there are one-parameter families of solutions with algebraic decay, whose form is rel...
physics
7,756
Dynamical scaling in Smoluchowski's coagulation equations: uniform convergence
nlin.AO
We consider the approach to self-similarity (or dynamical scaling) in Smoluchowski's coagulation equations for the solvable kernels K(x,y)=2, x+y and xy. We prove the uniform convergence of densities to the self-similar solution with exponential tails under the regularity hypothesis that a suitable moment have an integ...
physics
7,757
Network dependence of strong reciprocity
nlin.AO
Experimental evidence suggests that human decisions involve a mixture of self-interest and internalized social norms which cannot be accounted for by the Nash equilibrium behavior of Homo Oeconomicus. This led to the notion of strong reciprocity (or altruistic punishment) to capture the human trait leading an individua...
physics
7,758
Binding Social and Cultural Networks: A Model
nlin.AO
Until now, most studies carried onto social or semantic networks have considered each of these networks independently. Our goal here is to bring a formal frame for studying both networks empirically as well as to point out stylized facts that would explain their reciprocal influence and the emergence of clusters of age...
physics
7,759
History-dependent synchronization in the Burridge-Knopoff model
nlin.AO
A three-blocks Burridge-Knopoff model is investigated. The dimensionless velocity-dependent friction force $F(v)\propto (1+av)^{-1}$ is linearized around $a=0$. In this way, the model is transformed into a six-dimensional mapping $\mathbf{x}(t_{n})\to \mathbf{x}(t_{n+1})$, where $t_n$ are time moments when a block star...
physics
7,760
Adaptability and Diversity in Simulated Turn-taking Behaviour
nlin.AO
Turn-taking behaviour is simulated in a coupled agents system. Each agent is modelled as a mobile robot with two wheels. A recurrent neural network is used to produce the motor outputs and to hold the internal dynamics. Agents are developed to take turns on a two-dimensional arena by causing the network structures to e...
physics
7,761
Diffusion of Power in Randomly Perturbed Hamiltonian Partial Differential Equations
nlin.AO
We study the evolution of the energy (mode-power) distribution for a class of randomly perturbed Hamiltonian partial differential equations and derive {\it master equations} for the dynamics of the expected power in the discrete modes. In the case where the unperturbed dynamics has only discrete frequencies (finitely o...
physics
7,762
A Mean-Field Theory of Cellular Automata Model for Distributed Packet Networks
nlin.AO
A Mean-Field theory is presented and applied to a Cellular Automata model of distributed packet-switched networks. It is proved that, under a certain set of assumptions, the critical input traffic is inversely proportional to the free packet delay of the model. The applicability of Mean-Field theory in queue length est...
physics
7,763
An observation of a nascent fractal pattern in MD simulation for a fragmentation of an fcc lattice
nlin.AO
To seek for a possible origin of fractal pattern in nature, we perform a molecular dynamics simulation for a fragmentation of an infinite fcc lattice. The fragmentation is induced by the initial condition of the model that the lattice particles have the Hubble-type radial expansion velocities. As time proceeds, the ave...
physics
7,764
Non-Markov stochastic dynamics of real epidemic process of respiratory infections
nlin.AO
The study of social networks and especially of the stochastic dynamics of the diseases spread in human population has recently attracted considerable attention in statistical physics. In this work we present a new statistical method of analyzing the spread of epidemic processes of grippe and acute respiratory track inf...
physics
7,765
How can we think the complex?
nlin.AO
This chapter does not deal with specific tools and techniques for managing complex systems, but proposes some basic concepts that help us to think and speak about complexity. We review classical thinking and its intrinsic drawbacks when dealing with complexity. We then show how complexity forces us to build models with...
physics
7,766
Long-Time Behaviour and Self-Similarity in a Coagulation Equation with Input of Monomers
nlin.AO
For a coagulation equation with Becker-Doring type interactions and time-independent monomer input we study the detailed long-time behaviour of nonnegative solutions and prove the convergence to a self-similar function.
physics
7,767
$p$-adic discrete dynamical systems and their applications in physics and cognitive sciences
nlin.AO
This review is devoted to dynamical systems in fields of $p$-adic numbers: origin of $p$-adic dynamics in $p$-adic theoretical physics (string theory, quantum mechanics and field theory, spin glasses), continuous dynamical systems and discrete dynamical systems. The main attention is paid to discrete dynamical systems ...
physics
7,768
Adaptive Synchronization in Coupled Dynamic Networks
nlin.AO
This paper studies synchronization in coupled nonlinear dynamic networks with unknown parameters. Adaptation can be added to one or several elements in the network, while preserving the global synchronization conditions derived in previously. This implies that new nodes can be added to the network without prior knowled...
physics
7,769
The Structural Dynamics of Corruption: Artificial Society Approach
nlin.AO
Corruption has been an important issue as it becomes obstacle to achieve the better and more efficient economic governmental system. The paper defines corruption in two ways, as state capture and administrative corruption to grasp the quintessence of the corruption cases modeled in dynamical computational social system...
physics
7,770
Formation and Destruction of Autocatalytic Sets in an Evolving Network Model
nlin.AO
I analyse a model of an evolving network represented as a directed graph; each node corresponds to one molecular species and the links to catalytic interactions between species. Over short timescales the graph remains fixed while relative populations of the molecular species change according to a set of coupled differe...
physics
7,771
Percolation of New Product Critical Market Penetration
nlin.AO
A simulation of new product market penetration in a social environment is performed, using a spintronic model, where each element of a 3D network interacts with its first neighbors. Agents are assumed to be rational, with a perfect market foresight. Unitary production cost decreases when consumption is increased. Sim...
physics
7,772
Power Law Signature in Indonesian Legislative Election 1999-2004
nlin.AO
We analyzed the distribution of the result of Indonesian 1999 and 2004 legislative election in order to have the statistical properties or any stylized facts. The paper shows that the analysis results the power-law signature persistently in the election of the House of Representative in 1999 and 2004 and more clearly i...
physics
7,773
Individual strategies in complementarity games and population dynamics
nlin.AO
We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of them pushes too hard, no deal at all can be concluded, and they both loose. The g...
physics
7,774
Coupled Chaotic Oscillators and Its Relation with Artificial Quadrupeds' Central Pattern Generator
nlin.AO
Animal locomotion employs different periodic patterns known as animal gaits. In 1993 Collins and Stewart achieved the characterization in quadrupeds and bipeds by using permutation symmetries groups which impose constrains in the locomotion centre called Central Generator Pattern (CGP) in the animal brain. They modelle...
physics
7,775
Nobility and Stupidity: Modeling the Evolution of Class Endogamy
nlin.AO
Class endogamy is a phenomenon in which nobles only marry other nobles and commoners only marry other commoners. The origin of class endogamy, and of social stratification in general, is a major open question in archaeology. This paper implements a verbal model proposed by Marcus and Flannery as a class of agent-based ...
physics
7,776
A mathematical description of natural shapes in our nonlinear world
nlin.AO
The work presents two examples of simple mathematical formulas which are natural nonlinear modifications (one being a generalization) of Gielis' formula. These formulas involve a comparable number of parameters and provide non-Platonic representations of a vast diversity of natural shapes and patterns by incorporating ...
physics
7,777
Possible Laws for Artificial Life Evolution
nlin.AO
Motivated by a recent article on open problems in artificial life, here I postulate three laws which form a mathematical framework to describe artificial life evolutionary dynamics. They are based on a continuous approximation of population dynamics. Four dynamical elements are required in this formulation: ascendant m...
physics
7,778
Synchronization of two interacting populations of oscillators
nlin.AO
We analyze synchronization between two interacting populations of different phase oscillators. For the important case of asymmetric coupling functions, we find a much richer dynamical behavior compared to that of symmetrically coupled populations of identical oscillators (Okuda and Kuramoto, 1991). It includes three ty...
physics
7,779
Self Running Droplet: Emergence of Regular Motion from Nonequilibrium Noise
nlin.AO
Spontaneous motion of an oil droplet driven by chemical nonequilibricity is reported. It is shown that the droplet undergoes regular rhythmic motion under appropriately designed boundary conditions, whereas it exhibits random motion in an isotropic environment. This study is a novel manifestation on the direct energy t...
physics
7,780
Democracy: Order out of Chaos
nlin.AO
We construct a majority cellular automata based model to explain the power-law signatures in Indonesian general election results. The understanding of second-order phase transitions between two different conditions inspires the model. The democracy is assumed as critical point between the two extreme socio-political si...
physics
7,781
Objects That Make Objects: The Population Dynamics of Structural Complexity
nlin.AO
To analyze the evolutionary emergence of structural complexity in physical processes we introduce a general, but tractable, model of objects that interact to produce new objects. Since the objects--\emph{$epsilon$-machines}--have well defined structural properties, we demonstrate that complexity in the resulting popula...
physics
7,782
Emergence of Specialization from Global Optimizing Evolution in a Multi-Agent System
nlin.AO
The evolution of specialization in a multi-agent system is studied both by computer simulation and Markov process model. Many individual agents search for and exploit resources to get global optimization in an environment without complete information. With the selection acting on agent specialization at the level of sy...
physics
7,783
A study on a self-organized criticality in a dynamical many-body system
nlin.AO
A novel mechanism for the generation of self-organized criticality (SOC) is discussed in terms of the coupled-vibration model where the total system is forced under the uniform expansion of the Hubble type. This system shows a robust SOC behavior while the maximum size of the fluctuation, number of correlated particles...
physics
7,784
Complexity vs stability in small-world networks
nlin.AO
According to the May-Wigner stability theorem, increasing the complexity of a network inevitably leads to its destabilization, such that a small perturbation will be able to disrupt the entire system. One of the principal arguments against this observation is that it is valid only for random networks, and therefore doe...
physics
7,785
Coarse-grained periodic orbits and bifurcations in a Markov chain model for evolution of labor division
nlin.AO
We construct a Markov process model to describe the evolution of labor division and its dynamical behavior is investigated by numerical simulations in detail. We have shown that under the mechanism of increasing returns, the division of labor will emerge from the initial homogenous distribution and with the change of p...
physics
7,786
Managing Complexity
nlin.AO
Physical analogs have shown considerable promise for understanding the behavior of complex adaptive systems, including macroeconomics, biological systems, social networks, and electric power markets. Many of today's most challenging technical and policy questions can be reduced to a distributed economic control problem...
physics
7,787
GridWiseTM: The Benefits of a Transformed Energy System
nlin.AO
The demand for electricity is expected to continue its historical growth trend far into the future and particularly over the 20-year projection period discussed in this report. To meet this growth with traditional approaches will require added generation, transmission, and distribution, costing up to $1.4 billion/GW ($...
physics
7,788
Deterministic Bak-Sneppen model. Lyapunov spectrum and avalanches as return times
nlin.AO
A deterministic version of the Bak-Sneppen model is studied. The role of the Lyapunov spectrum in the onset of scale-free behavior is established and avalanches are interpreted as return times to a zero-measure set. The problem of accurate determination of the scaling exponents near the critical barrier is addressed us...
physics
7,789
Epidemic Spreading in Dynamic Small World Networks
nlin.AO
In this paper, we use a series of small world networks to simulate the epidemic spreading in the real world. To make our model more similar to the real world, we employ a parameter $p_{move}$ to denote its moving probability, which corresponds with the general mobility of individuals in realistic social network. The ne...
physics
7,790
A Time-Varying Complex Dynamical Network Model And Its Controlled Synchronization Criteria
nlin.AO
Today, complex networks have attracted increasing attention from various fields of science and engineering. It has been demonstrated that many complex networks display various synchronization phenomena. In this paper, we introduce a time-varying complex dynamical network model. We then further investigate its synchroni...
physics
7,791
Innovation as Evolution: Case Study Phylomemetic of Cellphone Designs
nlin.AO
Cellular phone is one of the most developing technological artifacts today. The evolution occurs through random innovation. Our effort is trying to view the evolution of this artifact from memetics. By constructing a phylomemetic tree based on cellular phone memes to infer or estimate the evolutionary history and relat...
physics
7,792
On complex adaptive systems and terrorism
nlin.AO
Complex adaptive systems (CAS) are ubiquitous in nature. They are basic in social sciences. An overview of CAS is given with emphasize on the occurrence of bad side effects to seemingly wise decisions. Hence application to terrorism is given. Some conclusions on how to deal with this phenomena are proposed.
physics
7,793
Local Average and Scaling Property of $1/f^α$ Random Fields
nlin.AO
We use the techniques developed in [1] to study the local average of random fields with spectral density $1/f^{\alpha}$. We study their scaling properties and show that the self-similarity of $1/f$ random fields is preserved under the local average. We study how the original random fields can be recovered from the loca...
physics
7,794
Foundations of Swarm Intelligence: From Principles to Practice
nlin.AO
Swarm Intelligence (SI) is a relatively new paradigm being applied in a host of research settings to improve the management and control of large numbers of interacting entities such as communication, computer and sensor networks, satellite constellations and more. Attempts to take advantage of this paradigm and mimic t...
physics
7,795
Emergence of multiple time scales in coupled oscillators with plastic frequencies
nlin.AO
A coupled-phase oscillator model where each oscillator has an angular velocity that varies due to the interaction with other oscillators is studied. This model is proposed to deepen the understanding of the relationship between the coexistence and the plasticity of time scales in complex systems. It is found that initi...
physics
7,796
Social Cognitive Maps, Swarm Perception and Distributed Search on Dynamic Landscapes
nlin.AO
Swarm Intelligence (SI) is the property of a system whereby the collective behaviors of (unsophisticated) entities interacting locally with their environment cause coherent functional global patterns to emerge. SI provides a basis with which it is possible to explore collective (or distributed) problem solving without ...
physics
7,797
Varying the Population Size of Artificial Foraging Swarms on Time Varying Landscapes
nlin.AO
Swarm Intelligence (SI) is the property of a system whereby the collective behaviors of (unsophisticated) entities interacting locally with their environment cause coherent functional global patterns to emerge. SI provides a basis with wich it is possible to explore collective (or distributed) problem solving without c...
physics
7,798
Doubling the Intensity of an ERL Based Light Source
nlin.AO
A light source based on an Energy Recovered Linac (ERL) [1] consist of a superconducting linac and a transfer line that includes wigglers and undulators to produce the synchrotron light. The transfer line brings the electrons bunches back to the beginning of the linac so that their energy can be recovered when they tra...
physics
7,799
Dynamic scaling in stick-slip friction
nlin.AO
We introduce a generalized homogeneous function to describe the joint probability density for magnitude and duration of events in self-organized critical systems (SOC). It follows that the cumulative distributions of magnitude and of duration are power-laws with exponents $\alpha$ and $\tau$ respectively. A power-law r...
physics