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Chaotic Dynamics papers — page 38

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Computing the Scaling Exponents in Fluid Turbulence from First Principles: Demonstration of Multi-scaling
This manuscript is a draft of work in progress, meant for network distribution only. It will be updated to a formal preprint when the numerical calculations will be accomplished. In this draft we…
Victor I. Belinicher, Victor S. L'vov, Itamar ProcacciaAug 5, 1997
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Chaos and Lyapunov exponents in classical and quantal distribution dynamics
We analytically establish the role of a spectrum of Lyapunov exponents in the evolution of phase-space distributions ρ(p,q). Of particular interest is λ2, an exponent which quantifies the rate…
Arjendu K. Pattanayak, Paul BrumerAug 5, 1997
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Single-point velocity distribution in turbulence
We show that the tails of the single-point velocity probability distribution function (PDF) are generally non-Gaussian in developed turbulence. By using instanton formalism for the Navier-Stokes…
Gregory Falkovich, Vladimir LebedevAug 1, 1997
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Modulational Estimate for Fermi-Pasta-Ulam Chain Lyapunov Exponents
In the framework of the Fermi-Pasta-Ulam (FPU) model, we show a simple method to give an accurate analytical estimation of the maximal Lyapunov exponent at high energy density. The method is based on…
Thierry Dauxois, Stefano Ruffo, Alessandro TorciniAug 1, 1997
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Lyapunov instability and finite size effects in a system with long-range forces
We study the largest Lyapunov exponent λ and the finite size effects of a system of N fully-coupled classical particles, which shows a second order phase transition. Slightly below the critical…
Vito Latora, Andrea Rapisarda, Stefano RuffoJul 30, 1997
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Three applications of scaling to inhomogeneous, anisotropic turbulence
The energy spectrum in three examples of inhomogeneous, anisotropic turbulence, namely, purely mechanical wall turbulence, the Bolgiano-Obukhov cascade and helical turbulence, is analyzed. As one…
Piero OllaJul 28, 1997
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Nonlinear hydrodynamic stability
The variational principle of V. I. Arnold [J. Appl. Math. Mech. Vol. 29, P. 1002 (1965)] is extended to the general conservative inhomogeneous, compressible, and conducting fluid. The concept of…
M. B. IsichenkoJul 28, 1997
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Exact Eigenfunctions of a Chaotic System
The interest in the properties of quantum systems, whose classical dynamics are chaotic, derives from their abundance in nature. The spectrum of such systems can be related, in the semiclassical…
O. M. Auslaender, S. FishmanJul 26, 1997
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Experimental Study of Bifurcations in A Parametrically Forced Pendulum
An experimental study of bifurcations associated with stability of stationary points (SP's) in a parametrically forced magnetic pendulum and a comparison of its results with numerical results are…
Sang-Yoon Kim, S. H. Shin, J. Yi et al.Jul 23, 1997
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Controlling Physical Systems with Symmetries
Symmetry properties of the evolution equation and the state to be controlled are shown to determine the basic features of the linear control of unstable orbits. In particular, the selection of…
R. O. Grigoriev, M. C. CrossJul 21, 1997
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Helicity Transfer in Turbulent Models
Helicity transfer in a shell model of turbulence is investigated. We show that a Reynolds-independent helicity flux is present in the model when the large scale forcing breaks inversion symmetry. The…
L. Biferale, D. Pierotti, F. ToschiJul 21, 1997
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The problem of quantum chaotic scattering with direct processes reduced to the one without
We show that the study of the statistical properties of the scattering matrix S for quantum chaotic scattering in the presence of direct processes (charaterized by a nonzero average S matrix <S>) can…
Victor A. Gopar, Pier A. MelloJul 20, 1997
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On the Rate of Quantum Ergodicity on hyperbolic Surfaces and Billiards
The rate of quantum ergodicity is studied for three strongly chaotic (Anosov) systems. The quantal eigenfunctions on a compact Riemannian surface of genus g=2 and of two triangular billiards on a…
R. Aurich, M. TaglieberJul 17, 1997
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Computing the Scaling Exponents in Fluid Turbulence from First Principles: the Formal Setup
We propose a scheme for the calculation from the NS equations of the scaling exponents ζn of the nth order correlators in fully developed hydrodynamic turbulence. The scheme is nonperturbative…
Victor S. L'vov, Itamar ProcacciaJul 17, 1997
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Reaction-diffusion fronts under stochastic advection
We study front propagation in stirred media using a simplified modelization of the turbulent flow. Computer simulations reveal the existence of the two limiting propagation modes observed in recent…
A. C. Marti, F. Sagues, J. M. SanchoJul 17, 1997
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Double Phase Slips and Bound Defect Pairs in Parametrically Driven Waves
Spatio-temporal chaos in parametrically driven waves is investigated in one and two dimensions using numerical simulations of Ginzburg-Landau equations. A regime is identified in which in one…
Hermann Riecke, Glen D. GranzowJul 11, 1997
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Search for Low-Dimensional Chaos in Observational Data
We introduce the reader to the "global flow reconstruction method". The purpose of the method is to see if a given temporal sequence has been generated by a low dimensional dynamics, and to…
J. Robert BuchlerJul 9, 1997
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Scale-dependent functions in statistical hydrodynamics: a functional analysis point of view
Most of dynamic systems which exhibit chaotic behavior are also known to posses self-similarity and manifest strong fluctuations of all possible scales.The meaning of this terms is not always same.…
Mikhail V. AltaiskyJul 7, 1997
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The Building Blocks of Spatiotemporal Intermittency
We obtain a family of uniformly propagating hole-solutions to the complex Ginzburg-Landau equation which differ from the well-known Nozaki-Bekki holes. They describe the spatial organization and…
Martin van HeckeJul 7, 1997
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A Geometrical Model for Stagnant Motion in Hamiltonian Systems with Many Degrees of Freedom
We introduce a model of Poincaré mappings which represents hierarchical structure of phase spaces for systems with many degrees of freedom. The model yields residence time distribution of power type,…
Yoshiyuki Y. Yamaguchi, Tetsuro KonishiJul 4, 1997
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Fractals in Linear Ordinary Differential Equations
We prove the existence of fractal solutions to a class of linear ordinary differential equations.This reveals the possibility of chaos in the very short time limit of the evolution even of a linear…
Dhurjati Prasad DattaJul 4, 1997
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Mean dynamical entropy of quantum system tends to infinity in the semiclassical limit
We show that the mean dynamical entropy of a quantum map on the sphere is positive and tends logarithmically to infinity in the semiclassical limit. A link between chaotic dynamics of classical…
Wojciech Slomczynski, Karol ZyczkowskiJul 4, 1997
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Composed ensembles of random unitary matrices
Composed ensembles of random unitary matrices are defined via products of matrices, each pertaining to a given canonical circular ensemble of Dyson. We investigate statistical properties of spectra…
Marcin Pozniak, Karol Zyczkowski, Marek KusJul 3, 1997
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Dynamical Tunneling in Mixed Systems
We study quantum-mechanical tunneling in mixed dynamical systems between symmetry-related phase space tori separated by a chaotic layer. Considering e.g. the annular billiard we decompose…
Steffen D. Frischat, Eyal DoronJul 3, 1997
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Nonlinear Dynamics of Dry Friction
The dynamical behavior caused by dry friction is studied for a spring-block system pulled with constant velocity over a surface. The dynamical consequences of a general type of phenomenological…
Franz-Josef ElmerJul 1, 1997
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