id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
|---|---|---|---|---|---|---|
chao-dyn/9311010 | Classical and Quantum Chaos from Continuous Quantum Measurements | The method of restricted path integrals allows one to effectively consider
continuous (prolonged in time) measurements of quantum systems. Monitoring of
the system coordinates is such a continuous measurement that allows one to
describe a quantum system in terms of trajectories. This approach is applied to
chaotic syst... | 1993-11-25 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Michael Mensky (P.N.Lebedev Institute, 117924 Moscow, Russia) |
chao-dyn/9311008 | Relevance of Dynamic Clustering to Biological Networks | Network of nonlinear dynamical elements often show clustering of
synchronization by chaotic instability. Relevance of the clustering to
ecological, immune, neural, and cellular networks is discussed, with the
emphasis of partially ordered states with chaotic itinerancy. First, clustering
with bit structures in a hyperc... | 1993-11-25 | 2009-10-22 | [
"chao-dyn",
"nlin.CD",
"q-bio"
] | Kunihiko Kaneko (University of Tokyo, Komaba) |
chao-dyn/9311009 | Peeling the Onion of Order and Chaos in a High-dimensional Hamiltonian
System | Coexistence of various ordered chaotic states in a Hamiltonian system is
studied with the use of a symplectic coupled map lattice. Besides the clustered
states for the attractive interaction, a novel chaotic ordered state is found
for a system with repulsive interaction, characterized by a dispersed state of
particles.... | 1993-11-25 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Kunihiko KANEKO (University of Tokyo, Komaba), Tetsuro KONISHI (
Nagoya University) |
chao-dyn/9311006 | Hamiltonian Maps and Transport in Structured Fluids | Structures such as waves, jets, and vortices have a dramatic impact on the
transport properties of a flow. Passive tracer transport in incompressible
two-dimensional flows is described by Hamiltonian dynamics, and, for idealized
structures, the system is typically integrable. When such structures are
perturbed, chaotic... | 1993-11-20 | 2009-10-22 | [
"chao-dyn",
"nlin.CD",
"nlin.PS",
"patt-sol"
] | Jeffrey B. Weiss (National Center for Atmospheric Research) |
chao-dyn/9311005 | Probability distributions for one component equations with
multiplicative noise | Systems described by equations involving both multiplicative and additive
noise are common in nature. Examples include convection of a passive scalar
field, polymersin turbulent flow, and noise in dye lasers. In this paper the
one component version of this problem is studied. The steady state probability
distribution i... | 1993-11-20 | 2009-10-22 | [
"chao-dyn",
"cond-mat",
"nlin.CD"
] | J.M. Deutsch ( University of California Santa Cruz) |
chao-dyn/9311007 | Probability distributions for multicomponent systems with multiplicative
noise | Linear systems with many degrees of freedom containing multiplicative and
additive noise are considered. The steady state probability distribution for
equations of this kind is examined. With multiplicative white noise it is shown
that under some symmetry conditions, the probability distribution of a single
component h... | 1993-11-20 | 2009-10-22 | [
"chao-dyn",
"cond-mat",
"nlin.CD"
] | J.M. Deutsch (University of California, Santa Cruz) |
chao-dyn/9311004 | An Entire Spectral Determinant for Semiclassical Quantization | We show that the eigenvalues of the first order partial differential equation
derived by quasi-classical approximation of the Schr\"odinger equation can be
computed from the trace of a classical operator. The derived trace formula is
different from the Gutzwiller trace formula. | 1993-11-19 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Gabor Vattay (Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen
\O, Denmark and E\"otv\"os University, M\'uzeum krt. 6 - 8, H-1088 Budapest,
Hungary) |
chao-dyn/9311003 | Correspondence in Quasiperiodic and Chaotic Maps: Quantization via the
von Neumann Equation | A generalized approach to the quantization of a large class of maps on a
torus, i.e. quantization via the von Neumann Equation, is described and a
number of issues related to the quantization of model systems are discussed.
The approach yields well behaved mixed quantum states for tori for which the
corresponding Schro... | 1993-11-16 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Joshua Wilkie and Paul Brumer (Chemical Physics Theory Group,
Department of Chemistry, University of Toronto, Toronto, Ontario, Canada) |
chao-dyn/9311002 | Spatial Variation of Correlation Times for 1D Phase Turbulence | For one-dimensional phase-turbulent solutions of the Kuramoto-Sivashinsky
equation with rigid boundary conditions, we show that there is a substantial
variation of the correlation time~$\tau_c(x)$ with spatial position $x$ in
moderately large systems of size $L$. These results suggest that some
time-averaged properties... | 1993-11-11 | 2009-10-22 | [
"chao-dyn",
"comp-gas",
"nlin.CD",
"nlin.CG",
"nlin.PS",
"patt-sol"
] | David A. Egolf (Department of Physics and Center for Nonlinear and
Complex Systems, Duke University) and Henry S. Greenside (Departments of
Physics and Computer Science and Center for Nonlinear and Complex Systems,
Duke University) |
chao-dyn/9311001 | Characteristic Representation of Elementary Cellular Automata | We propose a characteristic representation ofone-dimensional and 2-state,
3-neighbor cellular automaton rules, which describes an effective form of each
rule after many time steps. Simulated results of the representation show that
complex structures of Class IV rules come from their aspects of Class II and
III. Class I... | 1993-11-06 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Y. Kayama, H. Anada and Y. Imamura, 9 pages (No figures and tables) |
chao-dyn/9310006 | Tunneling And The Onset Of Chaos In A Driven Bistable System | We study the interplay between coherent transport by tunneling and diffusive
transport through classically chaotic phase-space regions, as it is reflected
in the Floquet spectrum of the periodically driven quartic double well. The
tunnel splittings in the semiclassical regime are determined with high
numerical accuracy... | 1993-10-28 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | R. Utermann, T. Dittrich, and P. Hanggi (University of Augsburg,
Institute of Physics) |
chao-dyn/9310004 | Chaotic, regular and unbounded behaviour in the elastic impact
oscillator | A discontinuous area-preserving mapping derived from a sinusoidally-forced
impacting system is studied. This system, the elastic impact oscillator, is
very closely related to the accelerator models of particle physics such as the
Fermi map. The discontinuity in the mapping is due to grazing which can have a
surprisingl... | 1993-10-27 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Harbir Lamba (School of Mathematics, University of Bristol, UK) |
chao-dyn/9310005 | Billiards correlation functions | We discuss various experiments on the time decay of velocity autocorrelation
functions in billiards. We perform new experiments and find results which are
compatible with an exponential mixing hypothesis, first put forward by [FM]:
they do not seem compatible with the stretched exponentials believed, in spite
of [FM], ... | 1993-10-27 | 2008-10-08 | [
"chao-dyn",
"nlin.CD"
] | Garrido Pedro, Gallavotti Giovanni |
chao-dyn/9310003 | Truncated horseshoes and formal languages in chaotic scattering | In this paper we study parameter families of truncated horseshoes as models
of multiscattering systems which show a transition to chaos without losing
hyperbolicity, so that the topological features of the transition are
completely describable by a parameterized family of symbolic dynamics. At a
fixed parameter value t... | 1993-10-22 | 2009-10-22 | [
"chao-dyn",
"adap-org",
"nlin.AO",
"nlin.CD"
] | G. Troll (TU Berlin, D-10623 Berlin, Germany) |
chao-dyn/9310002 | Non recursive proof of the KAM theorem | A selfcontained proof of the KAM theorem in the Thirring model is discussed,
completely relaxing the ``strong diophantine property'' hypothesis used in
previous papers. Keywords: \it KAM, invariant tori, classical mechanics,
perturbation theory, chaos | 1993-10-14 | 2008-10-08 | [
"chao-dyn",
"nlin.CD"
] | Giovanni Gallavotti, Guido Gentile (Universita' di Roma, La Sapienza,
P.le Moro 2, 00185 Roma) |
chao-dyn/9310001 | Regular unimodal systems and factors of finite automata | Dynamical systems at the edge of chaos, which have been considered as models
of self-organization phenomena, are marked by their ability to perform
nontrivial computations. To distinguish them from systems with limited
computing power, we formulate two simplicity criteria for general dynamical
systems, and apply them t... | 1993-10-11 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Petr Kurka |
chao-dyn/9309005 | Entropy and Long range correlations in literary English | Recently long range correlations were detected in nucleotide sequences and in
human writings by several authors. We undertake here a systematic investigation
of two books, Moby Dick by H. Melville and Grimm's tales, with respect to the
existence of long range correlations. The analysis is based on the calculation
of en... | 1993-09-16 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Werner Ebeling, Thorsten P\"oschel |
chao-dyn/9309004 | Semi-Quantum Chaos | We consider a system in which a classical oscillator is interacting with a
purely quantum mechanical oscillator, described by the Lagrangian
$ L = \frac{1}{2} \dot{x}^2 + \frac{1}{2} \dot{A}^2 - \frac{1}{2} ( m^2 + e^2
A^2) x^2 \>, $
where $A$ is a classical variable and $x$ is a quantum operator. With
$\langle x(t... | 1993-09-13 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Fred Cooper (LANL & UNH), John Dawson (UNH), Dawn Meredith (UNH), and
Harvey Shepard (UNH) |
chao-dyn/9309002 | Chaotic Pulse Trains | We study a third-order nonlinear ordinary differential equation whose
solutions, under certain specific conditions, are individual pulses. These
correspond to homoclinic orbits in the phase space of the equation and we study
the possible pulse types in some detail. Sufficiently close to the conditions
under which a hom... | 1993-09-08 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | N.J. Balmforth (Astronomy Dept., Columbia Univ.), G.R. Ierley (Scripps
Institute for Oceanography) and E.A. Spiegel (Astronomy Dept., Columbia
Univ.) |
chao-dyn/9309003 | The Topological Entropy of One-dimensional Maps: Approximations and
Bounds | We present a method for computing the topological entropy of one-dimensional
maps. As an approximation scheme, the algorithm converges rapidly and provides
both upper and lower bounds. | 1993-09-08 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | N.J. Balmforth and E.A. Spiegel (Astron. Dept., Columbia Univ.), and
C. Tresser (IBM, Yorktown Heights) |
chao-dyn/9309001 | Chaotic Transport in Planar Periodic Vortical Flows | We have studied a chaotic transport in a two-dimensional periodic vortical
flow under a time-dependent perturbation with period T where the global
diffusion occurs along the stochastic web. By using the Melnikov method we
construct the separatrix map describing the approximate dynamics near the
saddle separatrices. Foc... | 1993-09-04 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Taehoon Ahn and Seunghwan Kim (Departments of Mathematics and Physics,
Basic Science Research Institute, POSTECH) |
chao-dyn/9308006 | Rotation Axis Variation Due To Spin Orbit Resonance | Rotation axis variation due to spin orbit resonance: conference report;
keywords: planetary precession, rigid body, chaos, KAM, Arnold diffusion,
averaging, celestial mechanics, classical mechanics, large deviations | 1993-08-22 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Giovannni Gallavotti (Dipartimento di Fisica, Universita' di Roma, P.
Moro 2, 00185, Roma) |
chao-dyn/9308005 | Resonance spectra and a periodic orbit sum rule for bound chaotic
systems | We consider the spectrum of the evolution operator for bound chaotic systems
by evaluating its trace. This trace is known to approach unity as $t
\rightarrow \infty$ for bound systems. It is written as the Fourier transform
of the logaritmic derivative of a zeta function whose zeros are identified with
the eigenvalues ... | 1993-08-12 | 2016-08-31 | [
"chao-dyn",
"nlin.CD"
] | Per Dahlqvist |
chao-dyn/9308002 | Linear Response Theory in Stochastic Resonance | The susceptibility of an overdamped Markov system fluctuating in a bistable
potential of general form is obtained by analytic solution of the Fokker-Planck
equation (FPE) for low noise intensities. The results are discussed in the
context of the LRT theory of stochastic resonance. They go over into recent
results (Gang... | 1993-08-09 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | MI Dykman, H Haken, Gang Hu, DG Luchinsky, R Mannella, PVE McClintock,
CZ Ning, ND Stein, NG Stocks |
chao-dyn/9308003 | Supernarrow Spectral Peaks and High Frequency Stochastic Resonance in
Systems with Coexisting Periodic Attractors | The kinetics of a periodically driven nonlinear oscillator, bistable in a
nearly resonant field, has been investigated theoretically and through analogue
experiments. An activation dependence of the probabilities of fluctuational
transitions between the coexisting attractors has been observed, and the
activation energi... | 1993-08-09 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | MI Dykman, DG Luchinsky, R Mannella, PVE McClintock, ND Stein, NG
Stocks |
chao-dyn/9308001 | High Frequency Stochastic Resonance in Periodically Driven Systems | High frequency stochastic resonance (SR) phenomena, associated with
fluctuational transitions between coexisting periodic attractors, have been
investigated experimentally in an electronic model of a single-well Duffing
oscillator bistable in a nearly resonant field of frequency $\omega_F$. It is
shown that, with incre... | 1993-08-09 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | M.I. Dykman (Department of Physics, Stanford University, USA), D.G.
Luchinsky (VNIIMS, Andreevskaya nab 2, 117965 Moscow, Russia), R. Mannella
(Dipartimento di Fisica, Universita' di Pisa, Italy), P.V.E. McClintock
(School of Physics and Material, Lancaster University, UK), S.M. Soskin
(Institute of Semiconduct... |
chao-dyn/9308004 | A Dynamical Approach to Fractional Brownian Motion | Herein we develop a dynamical foundation for fractional Brownian Motion. A
clear relation is established between the asymptotic behaviour of the
correlation function and diffusion in a dynamical system. Then, assuming that
scaling is applicable, we establish a connection between diffusion (either
standard or anomalous)... | 1993-08-09 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | R Mannella, P Grigolini, BJ West |
chao-dyn/9307019 | Prediction of Large Events on a Dynamical Model of a Fault | We present results for long term and intermediate term prediction algorithms
applied to a simple mechanical model of a fault. We use long term prediction
methods based, for example, on the distribution of repeat times between large
events to establish a benchmark for predictability in the model. In comparison,
intermed... | 1993-08-03 | 2015-06-24 | [
"chao-dyn",
"comp-gas",
"nlin.CD",
"nlin.CG"
] | S. L. Pepke (Dept. of Physics, Univ. of California, Santa Barbara), J.
M. Carlson (Dept. of Physics, UCSB and Institute for Theoretical Physics,
UCSB), and B.E. Shaw (Dept. of Physics, UCSB and Lamont-Dougherty Earth
Observatory) |
chao-dyn/9307020 | Non-deterministic chaos | Non-deterministic chaos is a form of low-dimensional dynamics which is
characterized by the existence of a countable set of {\em sensitive decision
points} (SDP's). Away from these points, the dynamics is well-behaved. Near
these points, however, perturbations (e.g., thermal noise) may cause the
outgoing trajectory to ... | 1993-08-03 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | D. D. Dixon (Institute for Geophysics and Planetary Physics,
University of California, Riverside) |
chao-dyn/9307018 | Quantum Dissipative Chaos | Using the decoherence formalism of Gell-Mann and Hartle, a quantum system is
found which is the equivalent of the classical chaotic Duffing oscillator. The
similarities and the differences from the classical oscillator are examined; in
particular, a new concept of quantum maps is introduced, and alterations in the
clas... | 1993-07-31 | 2008-02-03 | [
"chao-dyn",
"gr-qc",
"nlin.CD"
] | Todd A. Brun (Department of Physics, Caltech) |
chao-dyn/9307017 | Evolutionary Games and Computer Simulations | The prisoner's dilemma has long been considered the paradigm for studying the
emergence of cooperation among selfish individuals. Because of its importance,
it has been studied through computer experiments as well as in the laboratory
and by analytical means. However, there are important differences between the
way a s... | 1993-07-30 | 2009-10-22 | [
"chao-dyn",
"adap-org",
"nlin.AO",
"nlin.CD"
] | Bernardo A. Huberman and Natalie S. Glance (Xerox Parc, Palo Alto, CA) |
chao-dyn/9307016 | Diversity and Collective Action | We elucidate the dynamics of ongoing collective action among intentional
agents with diverse beliefs and imperfect information. Their decisions on
whether or not to contribute to the collective good depend not only on the past
but also on their expectations as to how their actions will affect those of
others. We show t... | 1993-07-27 | 2009-09-25 | [
"chao-dyn",
"adap-org",
"nlin.AO",
"nlin.CD"
] | Bernardo Huberman (Xerox PARC, Palo Alto, CA), Natalie Glance (Xerox
PARC, Palo Alto, CA) |
chao-dyn/9307015 | Organizational Fluidity and Sustainable Cooperation | We show that fluid organizations display higher levels of cooperation than
attainable by groups with either a fixed social structure or lacking one
altogether. By moving within the organization, individuals cause restructurings
that facilitate cooperation. Computer experiments simulating fluid
organizations faced with ... | 1993-07-27 | 2008-02-03 | [
"chao-dyn",
"adap-org",
"nlin.AO",
"nlin.CD"
] | Natalie Glance (Xerox PARC, Palo Alto, CA), Bernardo Huberman (Xerox
PARC, Palo Alto, CA) |
chao-dyn/9307014 | A Fredholm Determinant for Semi-classical Quantization | We investigate a new type of approximation to quantum determinants, the
``\qFd", and test numerically the conjecture that for Axiom A hyperbolic flows
such determinants have a larger domain of analyticity and better convergence
than the \qS s derived from the \Gt. The conjecture is supported by numerical
investigations... | 1993-07-26 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Predrag Cvitanovi\'c, Per E. Rosenqvist, G\'abor Vattay (Niels Bohr
Institute, Copenhagen, Denmark) and Hans Henrik Rugh (Unit\'e de
Math\'ematiques Pures et Appliqu\'ees, Ecole Normale Sup\'erieure de Lyon,
France) |
chao-dyn/9307013 | Transition from Poissonian to GOE level statistics in a modified Artin's
billiard | One wall of Artin's billiard on the Poincar\'e half plane is replaced by a
one-parameter ($c_p$) family of nongeodetic walls. A brief description of the
classical phase space of this system is given. In the quantum domain, the
continuousand gradual transition from the Poisson like to GOE level statistics
due to the sma... | 1993-07-26 | 2009-10-22 | [
"chao-dyn",
"cond-mat",
"nlin.CD"
] | A. Csord\'as (Research Institute for Solid State Physics) R. Graham
(Universitat Essen) P. Sz\'epfalusy (Institute of Solid State Physics, Eotvos
University, and Research Institute for Solid State Physics) and G. Vattay
(Institute of Solid State Physics, Eotvos University) |
chao-dyn/9307012 | Entire Fredholm determinants for Evaluation of Semi-classical and
Thermodynamical Spectra | Proofs that Fredholm determinants of transfer operators for hyperbolic flows
are entire can be extended to a large new class of multiplicative evolution
operators. We construct such operators both for the Gutzwiller semi-classical
quantum mechanics and for classical thermodynamic formalism, and introduce a
new function... | 1993-07-26 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Predrag Cvitanovi\'c and G\'abor Vattay (Niels Bohr Institute) |
chao-dyn/9307011 | Advection of vector fields by chaotic flows | We have introduced a new transfer operator for chaotic flows whose leading
eigenvalue yields the dynamo rate of the fast kinematic dynamo and applied
cycle expansion of the Fredholm determinant of the new operator to evaluation
of its spectrum. The theory hs been tested on a normal form model of the vector
advecting dy... | 1993-07-26 | 2009-10-22 | [
"chao-dyn",
"cond-mat",
"nlin.CD"
] | N.J. BALMFORTH (Astronomy Department,Columbia University),
P.CVITANOVIC (Niels Bohr Institute), G.R. IERLEY (Scripps Institute of
Oceanography, UCSD), E.A. SPIEGEL (Astronomy Department, Columbia) G.VATTAY
(Niels Bohr Institute) |
chao-dyn/9307010 | Dependence of extensive chaos on the spatial correlation length
(substantial revision) | We consider spatiotemporal chaotic systems for which spatial correlation
functions decay substantially over a length scale xi (the spatial correlation
length) that is small compared to the system size L. Numerical simulations
suggest that such systems generally will be extensive, with the fractal
dimension D growing in... | 1993-07-22 | 2008-02-03 | [
"chao-dyn",
"comp-gas",
"nlin.CD",
"nlin.CG",
"nlin.PS",
"patt-sol"
] | David A. Egolf (Department of Physics and Center for Nonlinear and
Complex Systems, Duke University) and Henry S. Greenside (Departments of
Physics and Computer Science and Center for Nonlinear and Complex Systems,
Duke University) |
chao-dyn/9307009 | A Genealogy for Finite Kneading Sequences of Bimodal Maps on the
Interval | We generate all the finite kneading sequences of one of the two kinds of
bimodal map on the interval, building each sequence uniquely from a pair of
shorter ones. There is a single pair at generation 0, with members of length 1.
Concomitant with this genealogy of kneading sequences is a unified genealogy of
all the per... | 1993-07-20 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | John Ringland (Math. Dept., SUNY Buffalo, Buffalo NY 14214), Charles
Tresser (IBM, Yorktown Heights NY 10598) |
chao-dyn/9307008 | Fractal dimension crossovers in turbulent passive scalar signals | The fractal dimension $\delta_g^{(1)}$ of turbulent passive scalar signals is
calculated from the fluid dynamical equation. $\delta_g^{(1)}$ depends on the
scale. For small Prandtl (or Schmidt) number $Pr<10^{-2}$ one gets two ranges,
$\delta_g^{(1)}=1$ for small scale r and $\delta_g^{(1)}$=5/3 for large r, both
as ex... | 1993-07-20 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Siegfried Grossmann and Detlef Lohse (Fachbereich Physik,
Philipps-Universit"at, Renthof 6, 35032 Marburg, Germany) |
chao-dyn/9307007 | On Spectral Laws of 2D--Turbulence in Shell Models | We consider a class of shell models of 2D-turbulence. They conserve
inertially the analogues of energy and enstrophy, two quadratic forms in the
shell amplitudes. Inertially conserving two quadratic integrals leads to two
spectral ranges. We study in detail the one characterized by a forward cascade
of enstrophy and sp... | 1993-07-19 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Peter Frick (Institute of Continuous Media Mechanics, Russian Academy
of Sciences, 1, Acad. Korolyov Str., 614061, Perm, RUSSIA) Erik Aurell (Dept.
of Mathematics, University of Stockholm, P.O. Box 6701, S--113 85 Stockholm,
SWEDEN) |
chao-dyn/9307006 | Stochastic Resonance | Stochastic resonance (SR) - a counter-intuitive phenomenon in which the
signal due to a weak periodic force in a nonlinear system can be {\it enhanced}
by the addition of external noise - is reviewed. A theoretical approach based
on linear response theory (LRT) is described. It is pointed out that, although
the LRT the... | 1993-07-17 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | M.I. Dykman (Department of Physics, Stanford University, USA), D.G.
Luchinsky (VNIIMS, Andreevskaya nab 2, 117965 Moscow, Russia), R. Mannella
(Dipartimento di Fisica, Universita' di Pisa, Italy), P.V.E. McClintock
(School of Physics and Material, Lancaster University, UK), S.M. Soskin
(Institute of Semiconduct... |
chao-dyn/9307005 | On the Quantum Cat and Sawtooth Maps- Return to Generic Behaviour | The quantization of the continous cat maps on the torus has led to rather
pathological quantum objects [6]. The non-generic behaviour of this model has
led some to conclude that the Correspondence Principle fails in this case [2].
In this note we introduce the quantum sawtooth models, since this is the
natural family t... | 1993-07-12 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | A. Lakshminarayan (Dept. of Physics, S.U.N.Y at Stony Brook), N.L.
Balazs (Dept. of Physics, S.U.N.Y at Stony Brook) |
chao-dyn/9307004 | The Classical and Quantum Mechanics of Lazy Baker Maps | We introduce and study the classical and quantum mechanics of certain non
hyperbolic maps on the unit square. These maps are modifications of the usual
baker's map and their behaviour ranges from chaotic motion on the whole measure
to chaos on a set of measure zero. Thus we have called these maps ``lazy baker
maps.'' T... | 1993-07-12 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | A. Lakshminarayan (Dept. of Physics, S.U.N.Y at Stony Brook), N.L.
Balazs (Dept. of Physics, S.U.N.Y at Stony Brook) |
chao-dyn/9307003 | Relaxation and Localization in Interacting Quantum Maps | We quantise and study several versions of finite multibaker maps. Classically
these are exactly solvable K-systems with known exponential decay to global
equilibrium. This is an attempt to construct simple models of relaxation in
quantum systems. The effect of symmetries and localization on quantum transport
is discuss... | 1993-07-11 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | A. Lakshminarayan (Dept. of Physics S.U.N.Y at Stony Brook) N.L.
Balazs (Dept. of Physics, S.U.N.Y at Stony Brook) |
chao-dyn/9307002 | Scale resolved intermittency in turbulence | The deviations $\delta\zeta_m$ ("intermittency corrections") from classical
("K41") scaling $\zeta_m=m/3$ of the $m^{th}$ moments of the velocity
differences in high Reynolds number turbulence are calculated, extending a
method to approximately solve the Navier-Stokes equation described earlier. We
suggest to introduce... | 1993-07-09 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Siegfried Grossmann and Detlef Lohse (Fachbereich Physik,
Philipps-Universit"at, Renthof 6, 35032 Marburg, Germany) |
chao-dyn/9307001 | Dynamical zeta functions for Artin's billiard and the Venkov--Zograf
factorization formula | Dynamical zeta functions are expected to relate the Schr\"odinger operator's
spectrum to the periodic orbits of the corresponding fully chaotic Hamiltonian
system. The relationsship is exact in the case of surfaces of constant negative
curvature. The recently found factorisation of the Selberg zeta function for
the mod... | 1993-07-02 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Michael Eisele (IFF, KFA, D-52405 J\"ulich, Germany), Dieter Mayer
(Institute of Theoretical Physics, Technical University, D-W-3392
Clausthal-Zellerfeld, Germany) |
chao-dyn/9306012 | Stable Non-Gaussian Diffusive Profiles | We prove two stability results for the scale invariant solutions of the
nonlinear heat equation $\partial_t u=\Delta u - |u|^{p-1}u$ with
$1<p<1+{2\over n}$, $n$ being the spatial dimension. The first result is that a
small perturbation of a scale invariant solution vanishes as
$t\rightarrow\infty$. The second result i... | 1993-06-28 | 2008-02-03 | [
"chao-dyn",
"cond-mat",
"nlin.CD"
] | J.Bricmont (UCL, Physique Th\'eorique, Louvain-la-Neuve, Belgium)
A.Kupiainen (Helsinki University, Mathematics Department, Helsinki, Finland) |
chao-dyn/9306011 | Self-Preservation of Large-Scale Structures in Burgers' Turbulence | We investigate the stability of large-scale structures in Burgers' equation
under the perturbation of high wave-number noise in the initial conditions.
Analytical estimates are obtained for random initial data with spatial spectral
density k^n, n < 1. Numerical investigations are performed for the case n=0,
using a par... | 1993-06-26 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Erik Aurell (Dept. of Mathematics, University of Stockholm, SWEDEN and
Center for Parallel Computers, Royal Institute of Technology, Stockholm,
Sweden), Sergey N. Gurbatov (Radiophysical Department, University of Nizhny
Novgorod, Russia and Department of Mechanics, Royal Institute of Technology,
Stockholm, Swed... |
chao-dyn/9306010 | Using Horseshoes to Create Coherent Structures | In this letter, we show that coherent structures are related to folds of
horseshoes which are present in chaotic systems. We develop techniques that
allow us to construct coherent structures by manipulating folds in three
prototypical problems: a 1-D chaotic map, a 2-D chaotic map, and a chaotically
advected fluid. The... | 1993-06-24 | 2008-02-03 | [
"chao-dyn",
"nlin.CD",
"nlin.PS",
"patt-sol"
] | Troy Shinbrot and J.M. Ottino (Laboratory for Fluid Mechanics, Chaos
and Mixing, Dept. of Chemical Engineering, Northwestern University) |
chao-dyn/9306008 | Renormalization Group and Asymptotics of Solutions of Nonlinear
Parabolic Equations | We present a general method for studying long time asymptotics of nonlinear
parabolic partial differential equations. The method does not rely on a priori
estimates such as the maximum principle. It applies to systems of coupled
equations, to boundary conditions at infinity creating a front, and to higher
(possibly fra... | 1993-06-21 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | J.Bricmont (UCL, Physique Theorique, Louvain-la-Neuve, Belgium),
A.Kupiainen ( Helsinki University, Mathematics Department, Helsinki,
Finland), G.Lin ( Rutgers University, Mathematics Department, New Brunswick,
NJ, USA) |
chao-dyn/9306007 | Universality in Blow-Up for Nonlinear Heat Equations | We consider the classical problem of the blowing-up of solutions of the
nonlinear heat equation. We show that there exist infinitely many profiles
around the blow-up point, and for each integer $k$, we construct a set of
codimension $2k$ in the space of initial data giving rise to solutions that
blow-up according to th... | 1993-06-21 | 2009-10-22 | [
"chao-dyn",
"cond-mat",
"nlin.CD"
] | J.Bricmont (UCL, Physique Theorique, Louvain-la-Neuve, Belgium),
A.Kupiainen (Helsinki University, Mathematics Department, Helsinki, Finland) |
chao-dyn/9306009 | Stability of Moving Fronts in the Ginzburg-Landau Equation | We use Renormalization Group ideas to study stability of moving fronts in the
Ginzburg-Landau equation in one spatial dimension. In particular, we prove
stability of the real fronts under complex perturbations. This extends the
results of Aronson and Weinberger to situations where the maximum principle is
inapplicable ... | 1993-06-21 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | J.Bricmont (UCL, Physique Theorique, Louvain-la-Neuve, Belgium),
A.Kupiainen (Helsinki University, Mathematics Department, Helsinki, Finland) |
chao-dyn/9306006 | Interaction of surface waves with vorticity in shallow water | Vortical flows in shallow water interact with long surface waves by virtue of
the nonlinear terms of the fluid equations. Analytical formulae are derived
that quantify the spontaneous generation of such waves by unsteady vorticity as
well as the scattering of surface waves by vorticity. In a first Born
approximation th... | 1993-06-18 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Enrique cerda and Fernando Lund (Departamento de Fisica, Facultad de
Ciencias Fisicas y Matematicas, Universidad de Chile, Casilla 487-3,
Santiago, Chile) |
chao-dyn/9306005 | Stochastic chaos: An analog of quantum chaos | Some intriging connections between the properties of nonlinear noise driven
systems and the nonlinear dynamics of a particular set of Hamilton's equation
are discussed. A large class of Fokker-Planck Equations, like the Schr\"odinger
equation, can exhibit a transition in their spectral statistics as a coupling
paramete... | 1993-06-10 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Mark M. Millonas (Center for Nonlinear Studies and Theoretical
Division, LANL and Santa Fe Institute) |
chao-dyn/9306003 | Twistless KAM tori | A selfcontained proof of the KAM theorem in the Thirring model is discussed. | 1993-06-09 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Giovanni Gallavotti |
chao-dyn/9306004 | Synchronization of coupled maps and stable, dissipative windows | Synchronization among globally coupled, chaotic map lattices can be related
to stable periodic windows in isolated chaotic maps. This relation provides a
simple predictive tool for the understanding of complicated behavior in coupled
physical, chemical and biological systems. | 1993-06-09 | 2009-10-22 | [
"chao-dyn",
"adap-org",
"nlin.AO",
"nlin.CD"
] | Troy Shinbrot (Laboratory for Fluid Mechanics, Chaos & Mixing; Dept.
of Chemical Engineering, Northwestern University) |
chao-dyn/9306002 | Exhibiting Randomness in Arithmetic using Mathematica and C | In my book "Algorithmic Information Theory" I explain how I constructed a
million-character equation that proves that there is randomness in arithmetic.
My book only includes a few pages from the monster equation, and omits the
software used to construct it. This software has now been rewritten in
Mathematica. The Math... | 1993-06-08 | 2008-02-03 | [
"chao-dyn",
"comp-gas",
"nlin.CD",
"nlin.CG"
] | G J Chaitin (IBM Research Division) |
chao-dyn/9306001 | Chaotic System on the Super Riemann Surface | A chaotic system of a nonrelativistic superparticle moving freely on the
super Riemann surface (SRS) of genus $g \geq 2$ is reviewed. | 1993-06-04 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Shuji MATSUMOTO (KEK, Japan), Shozo UEHARA (Yukawa Inst.,Japan), and
Yukinori YASUI (Osaka City U., JAPAN) |
chao-dyn/9305011 | Threshold Analysis for the Inverse ac Josephson Effect | The inverse ac Josephson effect involves rf-induced (Shapiro) steps that
cross over the zero-current axis; the phenomenon is of interest in voltage
standard applications. The standard analysis of the step height in current,
which yields the well-known Bessel-function dependence on an effective ac drive
amplitude, is va... | 1993-05-28 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | G. Filatrella (Phys. Inst., Univ. Tuebingen), B. A. Malomed (Dept.
Appl. Math., Tel Aviv Univ.), R. D. Parmentier (Dept. Phys., Univ. Salerno) |
chao-dyn/9305009 | Large Fluctuations in Stochastically Perturbed Nonlinear Systems:
Applications in Computing | This is the transcript of a talk given at the 1992 Complex Systems Summer
School. The theory of large fluctuations of stochastically perturbed
continuous-time dynamical systems is reviewed, and the large fluctuations of
two stochastic models arising in computer science are analysed. One is a
stochastic model of a commu... | 1993-05-28 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Robert S. Maier (University of Arizona) |
chao-dyn/9305010 | The Effect of Focusing and Caustics on Exit Phenomena in Systems Lacking
Detailed Balance | We study the trajectories followed by a particle subjected to weak noise when
escaping from the domain of attraction of a stable fixed point. If detailed
balance is absent, a _focus_ may occur along the most probable exit path,
leading to a breakdown of symmetry (if present). The exit trajectory
bifurcates, and the exi... | 1993-05-28 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Robert S. Maier and Daniel L. Stein (University of Arizona) |
chao-dyn/9305008 | Formal Languages in Dynamical Systems | We treat here the interrelation between formal languages and those dynamical
systems that can be described by cellular automata (CA). There is a well-known
injective map which identifies any CA-invariant subshift with a central formal
language. However, in the special case of a symbolic dynamics, i.e. where the
CA is j... | 1993-05-21 | 2008-02-03 | [
"chao-dyn",
"adap-org",
"nlin.AO",
"nlin.CD"
] | G. Troll |
chao-dyn/9305007 | Periodic Solutions of a System of Coupled Oscillators Near Resonance | Summary: A system of autonomous ordinary differential equations depending on
a small parameter is considered such that the unperturbed system has an
invariant manifold of periodic solutions that is not normally hyperbolic but is
normally nondegenerate. The bifurcation function whose zeros are the
bifurcation points for... | 1993-05-17 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Carmen Chicone (Department of Mathematics, University of Missouri
Columbia, MO 65211) |
chao-dyn/9305006 | The cost of compressible dynamics, time-reversibility, Maxwell's demon,
and the second law | A tantalizing version of Maxwell's demon is presented which appears to
operate reversibly. A container of hard core disks is separated into two
chambers of equal volume by a membrane that selects which disk can penetrate
depending on the disk's angle of incidence. It is shown that the second law of
thermodynamics requi... | 1993-05-14 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | P.A. Skordos (LANL B258, Los Alamos, NM 87545, and MIT, 545 Technology
Square, NE43-432, Cambridge, MA 02139) |
chao-dyn/9305005 | Some Studies on Arithmetical Chaos in Classical and Quantum Mechanics | Several aspects of classical and quantum mechanics applied to a class of
strongly chaotic systems are studied. These consist of single particles moving
without external forces on surfaces of constant negative Gaussian curvature
whose corresponding fundamental groups are supplied with an arithmetic
structure. It is show... | 1993-05-14 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Jens Bolte (Hamburg University) |
chao-dyn/9305004 | Poincar\'e maps of Duffing--type oscillators and their reduction to
circle maps. I. Analytic results | Bifurcation diagrams and plots of Lyapunov exponents in the $r$--$\Omega$
--plane for Duffing--type oscillators $$\ddot x +2r\dot x +V'(x,\Omega t) =0$$
exhibit a regular pattern of repeating selfsimilar ``tongues'' with complex
internal structure. We demonstrate here that this behaviour is easily
understood qualitativ... | 1993-05-13 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | G. Eilenberger (IFF, KFA J\"ulich, FRG) K. Schmidt (EDS Deutschland,
R\"usselsheim, FRG) |
chao-dyn/9305003 | A Semiclassical Calculation of Scars for a Smooth Potential | Bogomolny's formula for energy-smoothed scars is applied for the first time
to a non-specific, non-scalable Hamiltonian, a 2-D anharmonic oscillator. The
semiclassical theory reproduces well the exact quantal results over a large
spatial and energy range. | 1993-05-07 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Daniel Provost and Michel Baranger |
chao-dyn/9305002 | Binary Tree Approach to Scaling in Unimodal Maps | Ge, Rusjan, and Zweifel (J. Stat. Phys. 59, 1265 (1990)) introduced a binary
tree which represents all the periodic windows in the chaotic regime of
iterated one-dimensional unimodal maps. We consider the scaling behavior in a
modified tree which takes into account the self-similarity of the window
structure. A non-uni... | 1993-05-06 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Jukka A. Ketoja (Research Institute for Theoretical Physics,
University of Helsinki, Finland) and Juhani Kurkijarvi (Institutionen for
fysik, Abo Akademi, Finland) |
chao-dyn/9305001 | A Cayley Tree Immune Network Model with Antibody Dynamics | A Cayley tree model of idiotypic networks that includes both B cell and
antibody dynamics is formulated and analyzed. As in models with B cells only,
localized states exist in the network with limited numbers of activated clones
surrounded by virgin or near-virgin clones. The existence and stability of
these localized ... | 1993-05-03 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Russell W. Anderson (Los Alamos National Laboratory), Avidan U.
Neumann (Santa Fe Institute) and Alan S. Perelson (Los Alamos National
Laboratory) |
chao-dyn/9304012 | Twistless KAM tori, quasi flat homoclinic intersections, and other
cancellations in the perturbation series of certain completely integrable
hamiltonian systems. A review | Rotators interacting with a pendulum via small, velocity independent,
potentials are considered. If the interaction potential does not depend on the
pendulum position then the pendulum and the rotators are decoupled and we study
the invariant tori of the rotators system at fixed rotation numbers: we exhibit
cancellatio... | 1993-04-29 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Giovanni Gallavotti |
chao-dyn/9304011 | Explicit Lie-Poisson integration and the Euler equations | We give a wide class of Lie-Poisson systems for which explicit, Lie-Poisson
integrators, preserving all Casimirs, can be constructed. The integrators are
extremely simple. Examples are the rigid body, a moment truncation, and a new,
fast algorithm for the sine-bracket truncation of the 2D Euler equations. | 1993-04-28 | 2009-10-22 | [
"chao-dyn",
"comp-gas",
"nlin.CD",
"nlin.CG"
] | Robert I. McLachlan (Program in Applied Math, University of Colorado
at Boulder) |
chao-dyn/9304010 | Dynamical Systems: Some Computational Problems | We present several topics involving the computation of dynamical systems. The
emphasis is on work in progress and the presentation is informal -- there are
many technical details which are not fully discussed. The topics are chosen to
demonstrate the various interactions between numerical computation and
mathematical t... | 1993-04-27 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | John Guckenheimer and Patrick Worfolk (Center for Applied Mathematics,
Cornell University) |
chao-dyn/9304009 | A Dynamical Simulation Facility for Hybrid Systems | This paper establishes a general framework for describing hybrid dynamical
systems which is particularly suitable for numerical simulation. In this
context, the data structures used to describe the sets and functions which
comprise the dynamical system are crucial since they provide the link between a
natural mathemati... | 1993-04-21 | 2008-02-03 | [
"chao-dyn",
"comp-gas",
"nlin.CD",
"nlin.CG"
] | Allen Back (Cornell University), John Guckenheimer (Cornell
University), and Mark Myers (Cornell University) |
chao-dyn/9304008 | Braid analysis of (low-dimensional) chaos | Braid theory is used to calcualte the topological entropy of data from the
belousov-Zhabotinskii reaction, the results agree well with one-dimensional
theory to the order of approximation considered. | 1993-04-20 | 2008-02-03 | [
"chao-dyn",
"comp-gas",
"nlin.CD",
"nlin.CG"
] | N. Tufillaro, CNLS & T-13, Lanl |
chao-dyn/9304006 | Modifying the onset of homoclinic chaos. Application to a bistable
potential | We analyze, by means of Melnikov method, the possibility of modifying the
threshold of homoclinic chaos in general 1-dimensional problems, by introducing
small periodic resonant modulations. We indicate in particular a prescription
in order to increase the threshold (i.e. to prevent chaos), and consider then
its applic... | 1993-04-16 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | G. Cicogna and L. Fronzoni (Pisa, Italy) |
chao-dyn/9304007 | One-dimensional dynamics and factors of finite automata | We argue that simple dynamical systems are factors of finite automata,
regarded as dynamical systems on discontinuum. We show that any homeomorphism
of the real interval is of this class. An orientation preserving homeomorphism
of the circle is a factor of a finite automaton iff its rotation number is
rational. Any $S$... | 1993-04-16 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Petr Kurka (Charles University, Prague) |
chao-dyn/9304004 | Inertial Forms of Navier-Stokes Equations on Sphere | The Navier--Stokes equations for incompressible flows past a two--dimensional
sphere are considered in this article. The existence of an inertial form of the
equations is established. Furthermore for the first time for fluid equations,
we derive an upper bound on the dimension of the differential system (inertial
manif... | 1993-04-14 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Roger Temam (The Institute for Applied Mathematics & Scientific
Computing,Indiana University, Bloomington, IN and Laboratoire d'Analyse
Num\'erique, Universit\'e Paris-Sud, Batiment 425, 91405 Orsay, France),
Shouhong Wang (The Institute for Applied Mathematics & Scientific
Computing,Indiana University, Bloomin... |
chao-dyn/9304005 | Dissipation Induced Instabilities | The main goal of this paper is to prove that if the energy-momentum (or
energy-Casimir) method predicts formal instability of a relative equilibrium in
a Hamiltonian system with symmetry, then with the addition of dissipation, the
relative equilibrium becomes spectrally and hence linearly and nonlinearly
unstable. The ... | 1993-04-14 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Anthony Bloch (Department of Mathematics, Ohio State University)
P.S.Krishnaprasad (Department of Electrical Engineering and Institute for
Systems Research, University of Maryland) and Jerrold E. Marsden (Department
of Mathematics, University of California, Berkeley) Tudor S. Ratiu
(Department of Mathematics, U... |
chao-dyn/9304003 | A New Determinant for Quantum Chaos | We propose a new type of approximation to quantum determinants, ``quantum
Fredholm determinant", and conjecture that, compared to the quantum Selberg
zeta functions derived from Gutzwiller semiclassical trace formulas, such
determinants have a larger domain of analyticity for Axiom A hyperbolic
systems. The conjecture ... | 1993-04-12 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Predrag Cvitanovi\'c and Per E. Rosenqvist (Niels Bohr Institute,
Blegdamsvej 17, DK-2100 Copenhagen) |
chao-dyn/9304002 | Randomness in Arithmetic and The Decline and Fall of Reductionism in
Pure Mathematics | Lecture given Thursday 22 October 1992 at a Mathematics-Computer Science
Colloquium at the University of New Mexico. The lecture was videotaped; this is
an edited transcript. | 1993-04-07 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | G. J. Chaitin (IBM Research Division) |
chao-dyn/9304001 | Chaos in the one-dimensional gravitational three-body problem | We have investigated the appearance of chaos in the 1-dimensional Newtonian
gravitational three-body system (three masses on a line with $-1/r$ pairwise
potential). We have concentrated in particular on how the behavior changes when
the relative masses of the three bodies change (with negative total energy).
For two ma... | 1993-04-05 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Jarmo Hietarinta and Seppo Mikkola (Department of Physics, University
of Turku, Turku, Finland) |
chao-dyn/9303018 | Non-ergodicity for C^1 Expanding Maps | In this paper, we consider the question of existence and uniqueness of
absolutely continuous invariant measures for expanding $C^1$ maps of the
circle. This is a question which arises naturally from results which are known
in the case of expanding $C^k$ maps of the circle where $k\geq 2$, or even
$C^{1+\epsilon}$ expan... | 1993-03-31 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Anthony N. Quas (University of Warwick, U.K.) |
chao-dyn/9303017 | The Escape Problem for Irreversible Systems | The problem of noise-induced escape from a metastable state arises in
physics, chemistry, biology, systems engineering, and other areas. The problem
is well understood when the underlying dynamics of the system obey detailed
balance. When this assumption fails many of the results of classical
transition-rate theory no ... | 1993-03-31 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Robert S. Maier (U. Arizona) and D. L. Stein (U. Arizona) |
chao-dyn/9403003 | Dynamical Systems Accepting the Normal Shift | Classical Bianchi-Lie, Backlund and Darboux transformations are considered.
Their generalizations for the dynamical systems are discussed. For the
transformation being the generalization of the normal shift the special class
of dynamical systems is defined. The effective criterion for separating such
systems in form of... | 1993-03-28 | 2008-02-03 | [
"chao-dyn",
"alg-geom",
"astro-ph",
"hep-th",
"math.AG",
"nlin.CD"
] | A. Yu. Boldin and R. A. Sharipov (Department of Mathematics, Bashkir
State University, Ufa, Russia) |
chao-dyn/9303016 | Symmetry Decomposition of Chaotic Dynamics | Discrete symmetries of dynamical flows give rise to relations between
periodic orbits, reduce the dynamics to a fundamental domain, and lead to
factorizations of zeta functions. These factorizations in turn reduce the labor
and improve the convergence of cycle expansions for classical and quantum
spectra associated wit... | 1993-03-24 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Predrag Cvitanovi\'c and Bruno Eckhardt |
chao-dyn/9303015 | Periodic Orbit Theory | [[ RM: A review paper on cycle expansions. I quote the introduction: in
section (2) ]] I will summarize Gutzwiller's theory for the spectrum of
eigenenergies and extend it to diagonal matrix elements as well. The derivation
of the associated zeta function is given (2.2) and the identification of
suitable scaling variab... | 1993-03-23 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Bruno Eckhardt |
chao-dyn/9303014 | Kramers map approach for stabilization of hydrogen atom in a magnetic
field | The phenomenon of stabilization of highly excited states of hydrogen atom in
a strong monochromatic field is discussed. Approximate description of dynamics
by the introduced Kramers map allows to understand the main properties of this
phenomenon on the basis of analogy with the Kepler map. Analogy between the
stabiliza... | 1993-03-23 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | D. L. Shepelyansky |
chao-dyn/9303006 | Dynamical Systems and Factors of Finite Automata | We conceive finite automata as dynamical systems on discontinuum and
investigate their factors. Factors of finite automata include many well-known
simple dynamical systems, e.g. hyperbolic systems and systems with finite
attractors. In the quadratic family on the real interval, factors of finite
automata include all sy... | 1993-03-23 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Petr Kurka (Dept. of Mathematical Logic and Philosophy of Mathematics,
Faculty of Mathematics and Physics, Charles University, Prague, Czechia) |
chao-dyn/9503006 | Field theory and KAM tori | The parametric equations of KAM tori for a quasi integrable system, are shown
to be one point Schwinger functions of a suitable euclidean quantum field
theory on the torus. KAM theorem is equivalent to a ultraviolet stability
theorem. A renormalization group treatment of the field theory leads to a
resummation of the f... | 1993-03-20 | 2008-10-08 | [
"chao-dyn",
"nlin.CD"
] | G. Gallavotti (Roma1, Fisica), G. Gentile (IHES), and V. Mastropietro
(Roma2, Matematica) |
chao-dyn/9303005 | Global Solutions of the Equations of Elastodynamics of Incompressible
Neo-Hookean Materials | We prove that the initial-value problem for the motion of a certain type of
elastic body has a solution for all time if the initial data are sufficiently
small. The body must fill all of three space, obey a ``neo-Hookean''
stress-strain law, and be incompressible. The proof takes advantage of the
delayed singularity fo... | 1993-03-18 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | David G. Ebin, SUNY at Stony Brook, NY 11794-3651 |
chao-dyn/9303004 | Stochastic to deterministic crossover of fractal dimension for a
Langevin equation | Using algorithms of Higuchi and of Grassberger and Procaccia, we study
numerically how fractal dimensions cross over from finite-dimensional Brownian
noise at short time scales to finite values of deterministic chaos at longer
time scales for data generated from a Langevin equation that has a strange
attractor in the l... | 1993-03-12 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | David A. Egolf (Department of Physics and Center for Nonlinear and
Complex Systems, Duke University) and Henry S. Greenside (Departments of
Physics and Computer Science and Center for Nonlinear and Complex Systems,
Duke University) |
chao-dyn/9303013 | Order and chaos in quantum irregular scattering: Wigner's time delay | Recent developments in the semiclassical analysis of chaotic systems are
reviewed and illustrated for Wigner's time delay in elastic scattering of a
point particle from three disks in the plane. The convergence of the cycle
expanded periodic orbit expression for Wigners time delay is demonstrated.
Different regimes in ... | 1993-03-12 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Bruno Eckhardt |
chao-dyn/9303012 | Resummation of classical and semiclassical periodic orbit formulas | The convergence properties of cycle expanded periodic orbit expressions for
the spectra of classical and semiclassical time evolution operators have been
studied for the open three disk billiard. We present evidence that both the
classical and the semiclassical Selberg zeta function have poles. Applying a
Pad\'{e} appr... | 1993-03-11 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Bruno Eckhardt and Gunnar Russberg |
chao-dyn/9303003 | Flame Propagation Through Swirling Eddys, A Recursive Pattern | Computed flame motion through and between swirling eddys exhibits a maximum
advancement rate which is related to the time duration of flame motion between
eddys. This eddy spatial structure effect upon the apparent turbulent flame
speed appears to be similar to the square-root dependence observed in wrinkled
flamelet d... | 1993-03-11 | 2008-02-03 | [
"chao-dyn",
"nlin.CD"
] | Wm. T. Ashurst (Combustion Research Facility, Sandia National
Laboratories, Livermore, California 94551-0969) |
chao-dyn/9303011 | Phase shift in experimental trajectory scaling functions | For one dimensional maps the trajectory scaling functions is invariant under
coordinate transformations and can be used to compute any ergodic average. It
is the most stringent test between theory and experiment, but so far it has
proven difficult to extract from experimental data. It is shown that the main
difficulty ... | 1993-03-10 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Ronnie Mainieri and Robert E. Ecke (Center for Nonlinear Studies, Los
Alamos National Laboratory) |
chao-dyn/9303010 | Continued-fraction expansion of eigenvalues of generalized evolution
operators in terms of periodic orbits | A new expansion scheme to evaluate the eigenvalues of the generalized
evolution operator (Frobenius-Perron operator) $H_{q}$ relevant to the
fluctuation spectrum and poles of the order-$q$ power spectrum is proposed. The
``partition function'' is computed in terms of unstable periodic orbits and
then used in a finite p... | 1993-03-09 | 2019-08-17 | [
"chao-dyn",
"nlin.CD"
] | Hirokazu Fujisaka, Hideto Shigematsu, and Bruno Eckhardt |
chao-dyn/9303008 | S-matrix Fluctuations in a model with Classical Diffusion and Quantum
Localization | The statistics of S-matrix fluctuations are numerically investigated on a
model for irregular quantum scattering in which a classical chaotic diffusion
takes place within the interaction region. Agreement with various random-matrix
theoretic predictions is discussed in the various regimes (ballistic,
diffusive, localiz... | 1993-03-08 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Fausto Borgonovi and Italo Guarneri |
chao-dyn/9303009 | Chaotic Traveling Waves in a Coupled Map Lattice | Traveling waves triggered by a phase slip in coupled map lattices are
studied. A local phase slip affects globally the system, which is in strong
contrast with kink propagation. Attractors with different velocities coexist,
and form quantized bands determined by the number of phase slips. The mechanism
and statistical ... | 1993-03-08 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | Kunihiko Kaneko |
chao-dyn/9303002 | Hypersensitivity to Perturbations in the Quantum Baker's Map | We analyze a randomly perturbed quantum version of the baker's
transformation, a prototype of an area-conserving chaotic map. By numerically
simulating the perturbed evolution, we estimate the information needed to
follow a perturbed Hilbert-space vector in time. We find that the Landauer
erasure cost associated with t... | 1993-03-06 | 2009-10-22 | [
"chao-dyn",
"nlin.CD"
] | R. Schack (University of New Mexico) and C. M. Caves (Santa Fe
Institute and University of New Mexico) |
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