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Chaotic Dynamics papers

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Chaotic eigenfunctions in phase space
We study individual eigenstates of quantized area-preserving maps on the 2-torus which are classically chaotic. In order to analyze their semiclassical behavior, we use the Bargmann-Husimi…
S. Nonnenmacher, A. VorosFeb 22, 2006
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Improved control of delayed measured systems
In this paper we address the question how the control of delayed measured chaotic systems can be improved. Both unmodified OGY control and difference control can be successfully applied only for a…
Jens Christian Claussen, Heinz Georg SchusterJul 30, 2004
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The accurate and comprehensive model of thin fluid flows with inertia on curved substrates
Consider the 3D flow of a viscous Newtonian fluid upon a curved 2D substrate when the fluid film is thin as occurs in many draining, coating and biological flows. We derive a comprehensive model of…
A. J. Roberts, Zhenquan LiJan 8, 2004
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On periodic solutions of a Hamilton-Jacobi equation with periodic forcing
We prove that a Hamilton-Jacobi equation in 1D with periodic forcing has a set of generalized solutions such that each solution is a sum of linear and continuous periodic functions; we also give a…
Andrei SobolevskiiFeb 9, 2001
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Drifters dispersion in the Adriatic Sea: Lagrangian data and chaotic model
We analyze characteristics of drifter trajectories from the Adriatic Sea with recently introduced nonlinear dynamics techniques. We discuss how in quasi-enclosed basins, relative dispersion as…
Guglielmo Lacorata, Erik Aurell, Angelo VulpianiOct 11, 2000
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Generalized multibaker maps for open dissipative systems
Generalized multibaker maps are introduced to model dissipative systems which are spatially extended only in certain directions and escape of particles is allowed in other ones. Effects of…
Z. Kaufmann, P. SzépfalusyOct 5, 2000
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Chaos, Dissipation and Quantal Brownian Motion
Energy absorption by driven chaotic systems, the theory of energy spreading and quantal Brownian motion are considered. In particular we discuss the theory of a classical particle that interacts with…
Doron CohenAug 15, 2000
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Clustering of inertial particles in turbulent flows
We consider inertial particles suspended in an incompressible turbulent flow. Due to inertia of particles, their velocity field acquires small compressible component. Its presence leads to a new…
E. Balkovsky, G. Falkovich, A. FouxonAug 6, 2000
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Energy transfer in two-dimensional magnetohydrodynamic turbulence
In an earlier paper (physics/0006012) we had developed a method for computing the effective energy transfer between any two Fourier modes in fluid or magnetohydrodynamic (MHD) flows. This method is…
Gaurav Dar, Mahendra K. Verma, V. EswaranJul 14, 2000
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Fractional Fokker-Planck Equation for Nonlinear Stochastic Differential Equations Driven by Non-Gaussian Levy Stable Noises
The Fokker-Planck equation has been very useful for studying dynamic behavior of stochastic differential equations driven by Gaussian noises. However, there are both theoretical and empirical reasons…
D. Schertzer, M. Larchevêque, J. Duan et al.Jul 11, 2000
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The passive polymer problem
In this article, we introduce a generalization of the diffusive motion of point-particles in a turbulent convective flow with given correlations to a polymer or membrane. In analogy to the passive…
Kay Joerg WieseJul 7, 2000
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Symmetries, invariants and cascades in a shell model of turbulence
Reduced wavenumber models of turbulence, shell models, show cascade processes and anomalous scaling of correlators which might be analogous to what is observed in Navier-Stokes (N-S) turbulence. The…
P. D. DitlevsenApr 5, 2000
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Hecke theory and equidistribution for the quantization of linear maps of the torus
We study semi-classical limits of eigenfunctions of a quantized linear hyperbolic automorphism of the torus ("cat map"). For some values of Planck's constant, the spectrum of the…
P. Kurlberg, Z. RudnickMar 30, 2000
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A simple denoising algorithm using wavelet transform
Submission withdrawn because the authors erroneously submitted a revised version as a new submission, see nlin.CD/0002028.
Manojit Roy, V. Ravi Kumar, B. D. Kulkarni et al.Mar 28, 2000
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Self-Similar Decay in the Kraichnan Model of a Passive Scalar
We study the two-point correlation function of a freely decaying scalar in Kraichnan's model of advection by a Gaussian random velocity field, stationary and white-noise in time but fractional…
G. Eyink, J. XinMar 9, 2000
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Kinetic Theory Estimates for the Kolmogorov-Sinai Entropy and the Largest Lyapunov Exponents for Dilute, Hard-Ball Gases and for Dilute, Random Lorentz Gases
The kinetic theory of gases provides methods for calculating Lyapunov exponents and other quantities, such as Kolmogorov-Sinai entropies, that characterize the chaotic behavior of hard-ball gases.…
H. van Beijeren, R. van Zon, J. R. DorfmanMar 6, 2000
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Universal statistics of wave functions in chaotic and disordered systems
We study a new statistics of wave functions in several chaotic and disordered systems: the random matrix model, band random matrix model, the Lipkin model, chaotic quantum billiard and the 1D…
Bambi Hu, Baowen Li, Weng-ge WangFeb 28, 2000
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Quantum and classical chaos for a single trapped ion
In this paper we investigate the quantum and classical dynamics of a single trapped ion subject to nonlinear kicks derived from a periodic sequence of Guassian laser pulses. We show that the…
A. J. Scott, C. A. Holmes, G. J. MilburnJan 4, 2000
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Large Global Coupled Maps with Multiple Attractors
A system of N unidimensional global coupled maps (GCM), which support multiattractors is studied. We analize the phase diagram and some special features of the transitions (volume ratios and…
M. F. Carusela, H. Castellini, L. RomanelliDec 22, 1999
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Semiclassical properties of eigenfunctions and occupation number distribution for a model of two interacting particles
Quantum-classical correspondence for the shape of eigenfunctions, local spectral density of states and occupation number distribution is studied in a chaotic model of two coupled quartic oscillators.…
L. Benet, F. M. Izrailev, T. H. Seligman et al.Dec 21, 1999
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Longitudinal Structure Functions in Decaying and Forced Turbulence
In order to reliably compute the longitudinal structure functions in decaying and forced turbulence, local isotropy is examined with the aid of the isotropic expression of the incompressible…
Daigen Fukayama, Toshihiro Oyamada, Tohru Nakano et al.Dec 21, 1999
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Exact Renormalization Scheme for Quantum Anosov Maps
An exact renormalization scheme is introduced for quantum Anosov maps (QAMs) on a torus for general boundary conditions (BCs), whose number is always finite. Given a QAM U with k BCs and…
Itzhack DanaDec 21, 1999
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A MultiBaker Map for Thermodynamic Cross-Effects in Dynamical Systems
A consistent description of simultaneous heat and particle transport, including cross effects, and the associated entropy balance is given in the framework of a deterministic dynamical system. This…
Laszlo Matyas, Tamas Tel, Jurgen VollmerDec 21, 1999
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Chaotic Transport and Current Reversal in Deterministic Ratchets
We address the problem of the classical deterministic dynamics of a particle in a periodic asymmetric potential of the ratchet type. We take into account the inertial term in order to understand the…
Jose L. MateosDec 20, 1999
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Decimation and Harmonic Inversion of Periodic Orbit Signals
We present and compare three generically applicable signal processing methods for periodic orbit quantization via harmonic inversion of semiclassical recurrence functions. In a first step of each…
J. Main, P. A. Dando, Dz. Belkic et al.Dec 20, 1999
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