Skip to content

Chaotic Dynamics papers — page 57

chao-dynBrowse archive

A q-anaolg of the sixth Painlevé equation
A q-difference analog of the sixth Painlevé equation is presented. It arises as the condition for preserving the connection matrix of linear q-difference equations, in close analogy with the…
Michio Jimbo, Hidetaka SakaiJul 31, 1995
Learn
The Computational Complexity of Symbolic Dynamics at the Onset of Chaos
In a variety of studies of dynamical systems, the edge of order and chaos has been singled out as a region of complexity. It was suggested by Wolfram, on the basis of qualitative behaviour of…
Porus LakdawalaJul 28, 1995
Learn
Fusion Rules in Turbulent Systems with Flux Equilibrium
Fusion rules in turbulence specify the analytic structure of many-point correlation functions of the turbulent field when a group of coordinates coalesce. We show that the existence of flux…
Victor L'vov, Itamar ProcacciaJul 27, 1995
Learn
Exact Resummations in the Theory of Hydrodynamic Turbulence: III. Scenarios for Anomalous Scaling and Intermittency
Elements of the analytic structure of anomalous scaling and intermittency in fully developed hydrodynamic turbulence are described. We focus here on the structure functions of velocity differences…
Victor L'vov, Itamar ProcacciaJul 26, 1995
Learn
Exact Resummations in the Theory of Hydrodynamic Turbulence: II A Ladder to Anomalous Scaling
In paper I of this series on fluid turbulence we showed that exact resummations of the perturbative theory of the structure functions of velocity differences result in a finite (order by order)…
Victor L'vov, Itamar ProcacciaJul 26, 1995
Learn
Exact Resummations in the Theory of Hydrodynamic Turbulence: I The Ball of Locality and Normal Scaling
This paper is the first in a series of three papers that aim at understanding the scaling behaviour of hydrodynamic turbulence. We present in this paper a perturbative theory for the structure…
Victor L'vov, Itamar ProcacciaJul 26, 1995
Learn
Collective Behavior of Coupled Chaotic Maps
The collective behavior of a coupled map lattice having unbounded chaotic local dynamics is investigated through the properties of its mean field. The presence of unstable periodic orbits in…
M. G. CosenzaJul 21, 1995
Learn
Alternative method to find orbits in chaotic systems
We present here a new method which applies well ordered symbolic dynamics to find unstable periodic and non-periodic orbits in a chaotic system. The method is simple and efficient and has been…
Kai T. HansenJul 9, 1995
Learn
Boundary integral method applied in chaotic quantum billiards
The boundary integral method (BIM) is a formulation of Helmholtz equation in the form of an integral equation suitable for numerical discretization to solve the quantum billiard. This paper is an…
Baowen Li, Marko RobnikJul 7, 1995
Learn
Universal diffusion near the golden chaos border
We study local diffusion rate D in Chirikov standard map near the critical golden curve. Numerical simulations confirm the predicted exponent α=5 for the power law decay of D as approaching the…
S. Ruffo, D. L. ShepelyanskyJul 7, 1995
Learn
The creation of high-dimensional oscillations from low-dimensional systems
The complication of chaotic oscillation under its transformation by linear inertial process is discussed. It is shown that such complication is begun from large scales of attractor and is pure…
A. A. Kipchatov, L. V. KrasichkovJul 4, 1995
Learn
Chaotic Spectra of Classically Integrable Systems
We prove that any spectral sequence obeying a certain growth law is the quantum spectrum of an equivalence class of classically integrable non-linear oscillators. This implies that exceptions to the…
P. CrehanJul 3, 1995
Learn
Sample to sample fluctuations in fragmentation and agglomeration processes
The fluctuations in the particle size distribution for processes of fragmentation and aggregation are studied for stationary state regimes. The system is described in terms of a stochastic process…
Piero OllaJul 2, 1995
Learn
Decay of Classical Chaotic Systems - the Case of the Bunimovich Stadium
The escape of an ensemble of particles from the Bunimovich stadium via a small hole has been studied numerically. The decay probability starts out exponentially but has an algebraic tail. The weight…
H. Alt, H. -D. Graef, R. Hofferbert et al.Jun 30, 1995
Learn
Interaction of Nonlinear Schrödinger Solitons with an External Potential
Employing a particularly suitable higher order symplectic integration algorithm, we integrate the 1-d nonlinear Schrödinger equation numerically for solitons moving in external potentials. In…
Helge Frauenkron, Peter GrassbergerJun 30, 1995
Learn
ANOMALOUS SCALING OF THE PASSIVE SCALAR
We establish anomalous inertial range scaling of structure functions for a model of advection of a passive scalar by a random velocity field. The velocity statistics is taken gaussian with…
Krzysztof Gawedzki, Antti KupiainenJun 30, 1995
Learn
Lyapunov spectral analysis of a nonequilibrium Ising-like transition
By simulating a nonequilibrium coupled map lattice that undergoes an Ising-like phase transition, we show that the Lyapunov spectrum and related dynamical quantities such as the dimension correlation…
Corey S. O'Hern, David A. Egolf, Henry S. GreensideJun 29, 1995
Learn
Information-theoretic characterization of quantum chaos
Hypersensitivity to perturbation is a criterion for chaos based on the question of how much information about a perturbing environment is needed to keep the entropy of a Hamiltonian system from…
R. Schack, C. M. CavesJun 28, 1995
Learn
Direct Numerical Simulation Tests of Eddy Viscosity in Two Dimensions
Two-parametric eddy viscosity (TPEV) and other spectral characteristics of two-dimensional (2D) turbulence in the energy transfer sub-range are calculated from direct numerical simulation (DNS) with…
A. Chekhlov, S. A. Orszag, S. Sukoriansky et al.Jun 21, 1995
Learn
Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem
It is shown that the "chaoticity hypothesis", analogous to Ruelle's principle for turbulence and recently introduced in statistical mechanics, implies the Onsager reciprocity and the…
Giovanni GallavottiJun 18, 1995
Learn
Enhancing Efficiency of Mixing in Chaotic Flows
We propose a mechanism by which the efficiency of mixing in chaotic flows can be enhanced. Our mechanism consists of introducing small changes in the system parameters in regions of phase space where…
Neelima Gupte, R. E. AmritkarJun 14, 1995
Learn
Methods for the analysis of the Lindstedt series for KAM tori and renormalizability in classical mechanics
This paper consists in a unified exposition of methods and techniques of the renormalization group approach to quantum field theory applied to classical mechanics, and in a review of results: (1) a…
G. Gentile, V. MastropietroJun 6, 1995
Learn
A New Version of Algorithmic Information Theory
This material was presented in a series of lectures at the Santa Fe Institute, the Los Alamos National Laboratory, and the University of New Mexico, during a one-month visit to the Santa Fe…
G J ChaitinJun 5, 1995
Learn
Chaos for Liouville probability densities
Using the method of symbolic dynamics, we show that a large class of classical chaotic maps exhibit exponential hypersensitivity to perturbation, i.e., a rapid increase with time of the information…
R. Schack, C. M. CavesJun 5, 1995
Learn
Universal bifurcation property of two- or higher-dimensional dissipative systems in parameter space: Why does 1D symbolic dynamics work so well?
The universal bifurcation property of the Hénon map in parameter space is studied with symbolic dynamics. The universal-L region is defined to characterize the bifurcation universality. It is found…
H. P. FangJun 2, 1995
Learn
← PreviousPage 57Next →