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Chaotic Dynamics papers — page 46

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Low energy chaos in the Fermi-Pasta-Ulam problem
A possibility that in the FPU problem the critical energy for chaos goes to zero with the increase of the number of particles in the chain is discussed. The distribution for long linear waves in this…
D. L. ShepelyanskyNov 13, 1996
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Intermittency and the Slow Approach to Kolmogorov Scaling
From a simple path integral involving a variable volatility in the velocity differences, we obtain velocity probability density functions with exponential tails, resembling those observed in fully…
B. HoldomNov 7, 1996
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Time-reversal symmetry and random polynomials
We analyze the density of roots of random polynomials where each complex coefficient is constructed of a random modulus and a fixed, deterministic phase. The density of roots is shown to possess a…
D. Braun, M. Kus, K. ZyczkowskiNov 6, 1996
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Quantum Chaos and Random Matrix Theory - Some New Results
New insight into the correspondence between Quantum Chaos and Random Matrix Theory is gained by developing a semiclassical theory for the autocorrelation function of spectral determinants. We study…
U. SmilanskyNov 4, 1996
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Characterization of Quantum Chaos by the Autocorrelation Function of Spectral Determinants
The autocorrelation function of spectral determinants is proposed as a convenient tool for the characterization of spectral statistics in general, and for the study of the intimate link between…
S. Kettemann, D. Klakow, U. SmilanskyNov 4, 1996
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Synchronization in the identically driven systems
We investigate a transition from chaotic to nonchaotic behavior and synchronization in an ensemble of systems driven by identical random forces. We analyze the synchronization phenomenon in the…
B. Kaulakys, F. Ivanauskas, T. MeskauskasOct 31, 1996
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On scaling in relation to singular spectra
This paper relates uniform alpha-Hoelder continuity, or alpha-dimensionality, of spectral measures in an arbitrary interval to the Fourier transform of the measure. This is used to show that scaling…
A. HofOct 30, 1996
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New methods in nonequilibrium gases and fluids
Kinematical and dynamical properties of chaotic systems are reviewed and a few applications are described.
Giovannni GallavottiOct 30, 1996
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The lift on a tank-treading ellipsoidal cell in a bounded shear flow
The lift on a strongly non-spherical vesicle in a bounded shear flow, is studied in the case the membrane moves with a velocity, which is a linear function of the coordinates. The magnitude of the…
Piero OllaOct 24, 1996
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Non-Perturbative Zero Modes in the Kraichnan Model for Turbulent Advection
The anomalous scaling behavior of the n-th order correlation functions Fn of the Kraichnan model of turbulent passive scalar advection is believed to be dominated by the homogeneous…
Omri Gat, Victor S. L'vov, Evgenii Podivilov et al.Oct 22, 1996
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Entrainment control of chaos near unstable periodic orbits
It is demonstrated that improved entrainment control of chaotic systems can maintain periodic goal dynamics near unstable periodic orbits without feedback. The method is based on the optimization of…
R. MettinOct 16, 1996
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On the Convergence to Ergodic Behaviour of Quantum Wave Functions
We study the decrease of fluctuations of diagonal matrix elements of observables and of Husimi densities of quantum mechanical wave functions around their mean value upon approaching the…
Ph. Jacquod, J. -P. AmietOct 15, 1996
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How Chaotic is the Stadium Billiard? A Semiclassical Analysis
The impression gained from the literature published to date is that the spectrum of the stadium billiard can be adequately described, semiclassically, by the Gutzwiller periodic orbit trace formula…
Gregor TannerOct 14, 1996
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(1+1)-dimensional turbulence
A class of dynamical models of turbulence living on a one-dimensional dyadic-tree structure is introduced and studied. The models are obtained as a natural generalization of the popular GOY shell…
R. Benzi, L. Biferale, R. Tripiccione et al.Oct 14, 1996
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Intermittency and Regularized Fredholm Determinants
We consider real-analytic maps of the interval I=[0,1] which are expanding everywhere except for a neutral fixed point at 0. We show that on a certain function space the spectrum of the associated…
Hans Henrik RughOct 7, 1996
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Scaling of Low-Order Structure Functions in Homogeneous Turbulence
High-resolution direct numerical simulation data for three-dimensional Navier-Stokes turbulence in a periodic box are used to study the scaling behavior of low-order velocity structure functions with…
Nianzheng Cao, Shiyi Chen, Katepalli R. SreenivasanOct 4, 1996
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Method of constructing exactly solvable chaos
We present a new systematic method of constructing rational mappings as ergordic transformations with nonuniform invariant measures on the unit interval [0,1]. As a result, we obtain a two-parameter…
Ken UmenoOct 3, 1996
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Parallel Computation Using Generalized Models of Exactly Solvable Chaos
How chaos is useful in the brain information processing is greatly unknown. Here, we show that the statistical property of chaos such as invariant measures naturally organized under a great number of…
Ken UmenoOct 3, 1996
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Karhunen-Lo`eve Decomposition of Extensive Chaos
We show that the number of KLD (Karhunen-Lo`eve decomposition) modes DKLD(f) needed to capture a fraction f of the total variance of an extensively chaotic state scales extensively with subsystem…
Scott M. Zoldi, Henry S. GreensideOct 2, 1996
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Uniform approximation for diffractive contributions to the trace formula in billiard systems
We derive contributions to the trace formula for the spectral density accounting for the role of diffractive orbits in two-dimensional billiard systems with corners. This is achieved by using the…
Martin Sieber, Nicolas Pavloff, Charles SchmitOct 2, 1996
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Discrete Chaos
We propose a theory of deterministic chaos for discrete systems, based on their representations in binary state spaces Ω, homeomorphic to the space of symbolic dynamics. This formalism is applied…
H. Waelbroeck, F. ZertucheSep 30, 1996
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Successive Continuation for Locating Connecting Orbits
A successive continuation method for locating connecting orbits in parametrized systems of autonomous ODEs is considered. A local convergence analysis is presented and several illustrative numerical…
E. J. Doedel, M. J. Friedman, B. I. KuninSep 30, 1996
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Turbulence under a magnifying glass
This is an introductory course on the open problems in the theory of fully developed turbulence. It discusses: 1. hydrodynamical equations, 2. existence of solutions, 3. statistical description of…
Krzysztof GawedzkiSep 30, 1996
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Fluctuations in the Irreversible Decay of Turbulent Energy
A fluctuation law of the energy in freely-decaying, homogeneous and isotropic turbulence is derived within standard closure hypotheses for 3D incompressible flow. In particular, a…
Gregory L. EyinkSep 27, 1996
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A New Class of Automata Networks
A new class of automata networks is defined. Their evolution rules are determined by a probability measure p on the set of all integers Z and an indicator function IA on the interval [0,1]. It is…
N. Boccara, H. Fuks, S. GeurtenSep 27, 1996
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