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Chaotic Dynamics papers — page 59

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Levy Diffusion and Classes of Universal Parametric Correlations
A general formulation of translationally invariant, parametrically correlated random matrix ensembles, is used to classify universality in correlation functions. Surprisingly, the range of possible…
Dimitri Kusnezov, Caio H. LewenkopfApr 11, 1995
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Collective patterns arising out of spatio-temporal chaos
We present a simple mathematical model in which a time averaged pattern emerges out of spatio-temporal chaos as a result of the collective action of chaotic fluctuations. Our evolution equation…
Shin-ichi SasaApr 10, 1995
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Chronotopic Lyapunov Analysis: (I) a Comprehensive Characterization of 1D Systems
Instabilities in 1D spatially extended systems are studied with the aid of both temporal and spatial Lyapunov exponents. A suitable representation of the spectra allows a compact description of all…
Stefano Lepri, Antonio Politi, Alessandro TorciniApr 7, 1995
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Basis functions for strongly correlated Fermi systems
A general method to construct basis functions for fermionic systems which account for the SU(2) symmetry and for the translational invariance of the Hamiltonian is presented. The method does not…
Mario SalernoApr 5, 1995
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Guessing probability distributions from small samples
We propose a new method for the calculation of the statistical properties, as e.g. the entropy, of unknown generators of symbolic sequences. The probability distribution p(k) of the elements k of…
Thorsten Pöschel, Werner Ebeling, Helge RoséApr 4, 1995
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Universality in Turbulence: an Exactly Soluble Model
The present note contains the text of lectures discussing the problem of universality in fully developed turbulence. After a brief description of Kolmogorov's 1941 scaling theory of turbulence…
Krzysztof Gawedzki, Antti KupiainenApr 3, 1995
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The Source of Irreversibility in Macroscopic Dynamics
The dynamics of irreversible relaxation of non-equilibrium macroscopic systems is discussed. Arguments are developed showing that the general process is supported by two independent successive…
X de HemptinneMar 31, 1995
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On multiplicities in length spectra of arithmetic hyperbolic three-orbifolds
Asymptotic laws for mean multiplicities of lengths of closed geodesics in arithmetic hyperbolic three-orbifolds are derived. The sharpest results are obtained for non-compact orbifolds associated…
J. MarklofMar 30, 1995
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Ionization of Rydberg atoms in a low frequency field: modelling by maps of transition to chaotic behavior
We investigate a microwave ionization of highly excited atom in a low frequency field and show that such a process may be studied on the bases of map for the electron energy change during the period…
B. Kaulakys, G. VilutisMar 27, 1995
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On the Quantum Baker's Map and its Unusual Traces
The quantum baker's map is the quantization of a simple classically chaotic system, and has many generic features that have been studied over the last few years. While there exists a…
Arul LakshminarayanMar 25, 1995
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Decoherence, Delocalization and Irreversibility in Quantum Chaotic Systems
Decoherence in quantum systems which are classically chaotic is studied. The Arnold cat map and the quantum kicked rotor are chosen as examples of linear and nonlinear chaotic systems. The…
K. Shiokawa, B. L. HuMar 23, 1995
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Quantum Surface of Section Method: Eigenstates and Unitary Quantum Poincare Evolution
The unitary representation of exact quantum Poincare mapping is constructed. It is equivalent to the compact representation in a sense that it yields equivalent quantization condition with important…
Tomaz ProsenMar 22, 1995
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Lindstedt series and Kolmogorov theorem
The KAM theorem from a combinatorial viewpoint.
Giovanni GallavottiMar 21, 1995
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Stochastic Shell Model: a model of anomalous scaling and non-Gaussian distribution in turbulence
We propose a simple stochastic model of cascading transport in wave number space to clarify the origin of intermittent behavior of fully-developed fluid turbulence. In spite of lack of nonlinearity…
Hideki Takayasu, Y-h. Taguchi, Tomoo KatsuyamaMar 17, 1995
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The entropy of ``strange'' billiards inside n-simplexes
In the present work we investigate a new type of billiards defined inside of n--simplex regions. We determine an invariant ergodic (SRB) measure of the dynamics for any dimension. In using symbolic…
Thomas Schürmann, Ingo HoffmannMar 17, 1995
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Controlling Neuronal Noise Using Chaos Control
Chaos control techniques have been applied to a wide variety of experimental systems, including magneto-elastic ribbons, lasers, chemical reactions, arrhythmic cardiac tissue, and spontaneously…
David J. Christini, James J. CollinsMar 15, 1995
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Evidence for the Validity of the Berry-Robnik Surmise in a Periodically Pulsed Spin System
We study the statistical properties of the spectrum of a quantum dynamical system whose classical counterpart has a mixed phase space structure consisting of two regular regions separated by a…
PH. Jacquod, J. -P. AmietMar 9, 1995
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Normal and Anomalous Scaling of the Fourth-Order Correlation Function of a Randomly Advected Passive Scalar
For a delta-correlated velocity field, simultaneous correlation functions of a passive scalar satisfy closed equations. We analyze the equation for the four-point function. To describe a solution…
M. Chertkov, G. Falkovich, I. Kolokolov et al.Mar 6, 1995
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Do Spectral Trace Formulae Converge?
We evaluate the Gutzwiller trace formula for the level density of classically chaotic systems by considering the level density in a bounded energy range and truncating its Fourier integral. This…
Eyal DoronMar 2, 1995
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Chaos induced by Pauli blocking
Dynamics of classical scattering in the system of fermions is studied. The model is based on the coherent state representation and the equations of motion for fermions are derived from the…
S. Drożdż, J. Okołowicz, M. Ploszajczak et al.Mar 2, 1995
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Geometrization of spin systems using cycle expansions
It is shown that a spin system with long range interactions can be converted into a chaotic dynamical system that is differentiable and low-dimensional. The thermodynamic limit of the spin system is…
Ronnie MainieriMar 1, 1995
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Quantized chaotic dynamics and non-commutative KS entropy
We study the quantization of two examples of classically chaotic dynamics, the Anosov dynamics of "cat maps" on a two dimensional torus, and the dynamics of baker's maps. Each of these…
S. Klimek, A. LesniewskiFeb 28, 1995
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Dynamical Simulation of Fluidized Beds --- Hydrodynamically Interacting Granular Particles
A numerical simulation of a gas-fluidized bed is performed without introduction of any empirical parameters. Realistic bubbles and slugs are observed in our simulation. It is found that the…
Kengo Ichiki, Hisao HayakawaFeb 28, 1995
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Localized States in the Chaotic Ce Atom
We show that the energy averaged entropy localization length for the eigenstates of the Ce atom is well approximated by the prediction of the Wigner ensemble.
Mario Feingold, Oreste PiroFeb 27, 1995
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Quantization of Sinai's Billiard - A Scattering Approach
We obtained the spectrum of the Sinai billiard as the zeroes of a secular equation, which is based on the scattering matrix of a related scattering problem. We show that this quantization method…
Holger Schanz, Uzy SmilanskyFeb 25, 1995
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