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Chaotic Dynamics papers — page 43

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Correlation-Hole Method for Spectra of Superconducting Microwave Billiards
The spectral fluctuation properties of various two- and three-dimensional superconducting billiard systems are investigated by employing the correlation-hole method. It rests on the sensitivity of…
H. Alt, H. -D. Graef, R. Hofferbert et al.Feb 11, 1997
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The Elliptic Billiard: Subtleties of Separability
Some of the subtleties of the integrability of the elliptic quantum billiard are discussed. A well known classical constant of the motion has in the quantum case an ill-defined commutator with the…
R. van Zon, Th. W. RuijgrokFeb 10, 1997
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Analytic calculation of anomalous scaling in random shell models for a passive scalar
An exact non-perturbative calculation of the fourth-order anomalous correction to the scaling behaviour of a random shell-model for passive scalars is presented. Importance of ultraviolet (UV) and…
R. Benzi, L. Biferale, A. WirthFeb 7, 1997
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A direct link between the quantum-mechanical and semiclassical determination of scattering resonances
We investigate the scattering of a point particle from n non-overlapping, disconnected hard disks which are fixed in the two-dimensional plane and study the connection between the spectral properties…
Andreas Wirzba, Michael HenselerFeb 6, 1997
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Semiclassical Trace Formulae and Eigenvalue Statistics in Quantum Chaos
A detailed discussion of semiclassical trace formulae is presented and it is demonstrated how a regularized trace formula can be derived while dealing only with finite and convergent expressions.…
Jens BolteFeb 5, 1997
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Signature of Chaotic Diffusion in Band Spectra
We investigate the two-point correlations in the band spectra of spatially periodic systems that exhibit chaotic diffusion in the classical limit. By including level pairs pertaining to non-identical…
T. Dittrich, B. Mehlig, H. Schanz et al.Feb 3, 1997
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Dynamics of Coupled Maps with a Conservation Law
A particularly simple model belonging to a wide class of coupled maps which obey a local conservation law is studied. The phase structure of the system and the types of the phase transitions are…
R. O. Grigoriev, M. C. CrossFeb 1, 1997
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Universal Scaling Properties in Large Assemblies of Simple Dynamical Units Driven by Long-Wave Random Forcing
Large assemblies of nonlinear dynamical units driven by a long-wave fluctuating external field are found to generate strong turbulence with scaling properties. This type of turbulence is so robust…
Yoshiki Kuramoto, Hiroya NakaoJan 30, 1997
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A Dynamical Approach to Temperature
We present a new dynamical approach for measuring the temperature of a Hamiltonian dynamical system in the micro canonical ensemble of thermodynamics. We show that under the hypothesis of ergodicity…
Hans Henrik RughJan 30, 1997
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Characteristic Spatial Scales in Earthquake Data
We present a new technique in order to quantify the dynamics of spatially extended systems. Using a test on the existence of unstable periodic orbits, we identify intermediate spatial scales, wherein…
G. Zoeller, R. Engbert, S. Hainzl et al.Jan 30, 1997
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Velocity Probability Distribution Function in the Crossover and the Viscous Range
We derive a multifractal model for the velocity probability density distribution function (PDF), which is valid from the inertial range to the viscous range. The model gives a continuous evolution of…
Jens Eggers, Z. Jane WangJan 28, 1997
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Wound-up phase turbulence in the Complex Ginzburg-Landau equation
We consider phase turbulent regimes with nonzero winding number in the one-dimensional Complex Ginzburg-Landau equation. We find that phase turbulent states with winding number larger than a critical…
R. Montagne, E. Hernandez-Garcia, A. Amengual et al.Jan 23, 1997
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Bifurcations of Periodic Orbits and Uniform Approximations
We derive uniform approximations for contributions to Gutzwiller's periodic-orbit sum for the spectral density which are valid close to bifurcations of periodic orbits in systems with mixed phase…
Henning Schomerus, Martin SieberJan 22, 1997
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Chaotic Simulated Annealing by A Neural Network Model with Transient Chaos
We propose a neural network model with transient chaos, or a transiently chaotic neural network (TCNN) as an approximation method for combinatorial optimization problem, by introducing transiently…
Luonan Chen, Kazuyuki AiharaJan 22, 1997
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Chaos and Asymptotical Stability in Discrete-time Neural Networks
This paper aims to theoretically prove by applying Marotto's Theorem that both transiently chaotic neural networks (TCNN) and discrete-time recurrent neural networks (DRNN) have chaotic…
Luonan Chen, Kazuyuki AiharaJan 22, 1997
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Quantization of Hyperbolic N-Sphere Scattering Systems in Three Dimensions
Most discussions of chaotic scattering systems are devoted to two-dimensional systems. It is of considerable interest to extend these studies to the, in general, more realistic case of three…
Michael Henseler, Andreas Wirzba, Thomas GuhrJan 21, 1997
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Crystal properties of eigenstates for quantum cat maps
Using the Bargmann-Husimi representation of quantum mechanics on a torus phase space, we study analytically eigenstates of quantized cat maps. The linearity of these maps implies a close relationship…
S. NonnenmacherJan 20, 1997
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Holes and chaotic pulses of traveling waves coupled to a long-wave mode
Localized traveling-wave pulses and holes, i.e. localized regions of vanishing wave amplitude, are investigated in a real Ginzburg-Landau equation coupled to a long-wave mode. In certain parameter…
Henar Herrero, Hermann RieckeJan 20, 1997
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Perturbative and Non-Perturbative Analysis of the 3'rd Order Zero Modes
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 solutions…
Omri Gat, Victor S. L'vov, Itamar ProcacciaJan 18, 1997
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Intermittency in the large N-limit of a spherical shell model for turbulence
A spherical shell model for turbulence, obtained by coupling N replicas of the Gledzer, Okhitani and Yamada shell model, is considered. Conservation of energy and of an helicity-like invariant is…
D. PierottiJan 17, 1997
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Fusion Rules in Navier-Stokes Turbulence: First Experimental Tests
We present the first experimental tests of the recently derived fusion rules for Navier-Stokes (N-S) turbulence. The fusion rules address the asymptotic properties of many-point correlation functions…
Adrienne L. Fairhall, Brindesh Dhruva, Victor S. L'vov et al.Jan 16, 1997
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Dispersion of passive tracers in closed basins: beyond the diffusion coefficient
We investigate the spreading of passive tracers in closed basins. If the characteristic length scale of the Eulerian velocities is not very small compared with the size of the basin the usual…
V. Artale, G. Boffetta, A. Celani et al.Jan 15, 1997
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Diffusion in normal and critical transient chaos
In this paper we investigate deterministic diffusion in systems which are spatially extended in certain directions but are restricted in size and open in other directions, consequently particles can…
Z. Kaufmann, H. Lustfeld, A. Nemeth et al.Jan 14, 1997
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Designing coupling that guarantees synchronization between identical chaotic systems
We examine synchronization between identical chaotic systems. A rigorous criteria is presented which, if satisfied, guarantees that the coupling produces linearly stable synchronous motion. The…
Reggie Brown, Nikolai F. RulkovJan 13, 1997
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Wave Dynamical Chaos in Superconducting Microwave Cavities
During the last few years we have studied the chaotic behavior of special Euclidian geometries, so-called billiards, from the quantum or in more general sense "wave dynamical" point of view. Due to…
H. Rehfeld, H. Alt, C. Dembowski et al.Jan 13, 1997
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