Spatiotemporal Dynamics of Mesoscopic Chaotic SystemsAn investigation of the mesoscopic dynamics of chemical systems whose mass action equation gives rise to a deterministic chaotic attractor is carried out. A reactive lattice-gas model for the…Raymond Kapral, Xiao-Guang Wu·Feb 6, 1996SaveLearn
Small Denominators, Frequency Operators, and Lie Transforms for Nearly-Integrable Quantum Spin SystemsBased on the previously proposed notions of action operators and of quantum integrability, frequency operators are introduced in a fully quantum-mechanical setting. They are conceptually useful…Thomas Gramespacher, Stefan Weigert·Feb 5, 1996SaveLearn
Observation of stochastic coherence in coupled map latticesChaotic evolution of structures in Coupled map lattice driven by identical noise on each site is studied (a structure is a group of neighbouring lattice-sites for whom values of dynamical variable…Manojit Roy, R. E. Amritkar·Feb 3, 1996SaveLearn
Zeta functions with Dirichlet and Neumann boundary conditions for exterior domainsWe generalize earlier studies on the Laplacian for a bounded open domain Ω∈ 2 with connected complement and piecewise smooth boundary. We compare it with the quantum mechanical scattering…J. -P. Eckmann, C. -A. Pillet·Feb 3, 1996SaveLearn
Structural Invariance: A Link Between Chaos and Random MatricesThe concept of structural invariance previously introduced by the authors is used to argue that the connection between random matrix theory and quantum systems with a chaotic classical counterpart is…F. Leyvraz, T. H. Seligman·Feb 3, 1996SaveLearn
Ergodic Properties of Infinite Harmonic Crystals: an Analytic ApproachWe give through pseudodifferential operator calculus a proof that the quantum dynamics of a class of infinite harmonic crystals becomes ergodic and mixing with respect to the quantum Gibbs measure if…S. Graffi, A. Martinez·Feb 2, 1996SaveLearn
Slow Relaxation at Critical Point of Second Order Phase Transition in a Highly Chaotic Hamiltonian SystemTemporal evolutions toward thermal equilibria are numerically investigated in a Hamiltonian system with many degrees of freedom which has second order phase transition. Relaxation processes are…Yoshiyuki Y. Yamaguchi·Feb 2, 1996SaveLearn
The Necessity for a Time Local Dimension in Systems with Time Varying AttractorsWe show that a simple non-linear system of ordinary differential equations may possess a time varying attractor dimension. This indicates that it is infeasible to characterize EEG and MEG time series…K. Saermark, Y. Ashkenazy, J. Levitan et al.·Feb 2, 1996SaveLearn
Unbiased estimation of multi-fractal dimensions of finite data setsWe present a novel method for determining multi-fractal properties from experimental data. It is based on maximising the likelihood that the given finite data set comes from a particular set of…A. J. Roberts, A. Cronin·Feb 1, 1996SaveLearn
Anomalous Scaling in the N-Point Functions of Passive ScalarA recent analysis of the 4-point correlation function of the passive scalar advected by a time-decorrelated random flow is extended to the N-point case. It is shown that all stationary-state…Denis Bernard, Krzysztof Gawedzki, Antti Kupiainen·Jan 31, 1996SaveLearn
Tools for Nonlinear Analysis: I. Unfolding of Dynamical SystemsAutomated algorithms for derivation of amplitude equations in the vicinity of monotonic and Hopf bifurcation manifolds are presented. The implementation is based on Mathematica programming, and is…L. M. Pismen, B. Y. Rubinstein·Jan 24, 1996SaveLearn
Non-universality of the scaling exponents of a passive scalar convected by a random flowWe consider passive scalar convected by multi-scale random velocity field with short yet finite temporal correlations. Taking Kraichnan's limit of a white Gaussian velocity as a zero…M. Chertkov, G. Falkovich, V. Lebedev·Jan 23, 1996SaveLearn
Quantum corrections to the semiclassical quantization of a nonintegrable systemWe study the semiclassical behaviour of a two--dimensional nonintegrable system. In particular we analyze the question of quantum corrections to the semiclassical quantization obtaining up to the…Luca Salasnich, Marko Robnik·Jan 22, 1996SaveLearn
Nonadiabatic couplings and incipience of quantum chaosThe quantization of the electronic two site system interacting with a vibration is considered by using as the integrable reference system the decoupled oscillators resulting from the adiabatic…Holger Schanz, Bernd Esser·Jan 19, 1996SaveLearn
On the decay of correlations in Sinai billiards with infinite horizonWe compute the decay of the autocorrelation function of the observable |vx| in the Sinai billiard and of the observable vx in the associated Lorentz gas with an approximation due to Baladi,…Per Dahlqvist, Roberto Artuso·Jan 18, 1996SaveLearn
The Effect of Small-Scale Forcing on Large-Scale Structures in Two-Dimensional FlowsThe effect of small scale forcing on large scale structures in β-plane two-dimensional (2D) turbulence is studied using long-term direct numerical simulations (DNS). We find that nonlinear effects…Alexei Chekhlov, Steven A. Orszag, Semion Sukoriansky et al.·Jan 17, 1996SaveLearn
Large eddy simulation of two-dimensional isotropic turbulenceLarge eddy simulation (LES) of forced, homogeneous, isotropic, two-dimensional (2D) turbulence in the energy transfer subrange is the subject of this paper. A difficulty specific to this LES and its…Semion Sukoriansky, Alexei Chekhlov, Boris Galperin et al.·Jan 17, 1996SaveLearn
Wave Chaos in Quantum Billiards with Small but Finite-Size ScattererWe study the low energy quantum spectra of two-dimensional rectangular billiards with a small but finite-size scatterer inside. We start by examining the spectral properties of billiards with a…T. Shigehara, Taksu Cheon·Jan 17, 1996SaveLearn
Identification of parameters in amplitude equations describing coupled wakesWe study the flow behind an array of equally spaced parallel cylinders. A system of Stuart-Landau equations with complex parameters is used to model the oscillating wakes. Our purpose is to identify…José Maria Fullana, Maurice Rossi, Stéphane Zaleski et al.·Jan 16, 1996SaveLearn
The semiclassical resonance spectrum of Hydrogen in a constant magnetic fieldWe present the first purely semiclassical calculation of the resonance spectrum in the Diamagnetic Kepler problem (DKP), a hydrogen atom in a constant magnetic field with Lz =0. The classical…Gregor Tanner, Kai T. Hansen, Jorg Main·Jan 15, 1996SaveLearn
The Lyapunov exponent in the Sinai billiard in the small scatterer limitWe show that Lyapunov exponent for the Sinai billiard is λ= -2(R)+C+O(R2 R) with C=1-4 2+27/(2π2)· ζ(3) where R is the radius of the circular scatterer. We consider the…Per Dahlqvist·Jan 11, 1996SaveLearn
Controlling spatiotemporal dynamics with time-delay feedbackWe suggest a spatially local feedback mechanism for stabilizing periodic orbits in spatially extended systems. Our method, which is based on a comparison between present and past states of the…Michael E. Bleich, Joshua E. S. Socolar·Jan 10, 1996SaveLearn
Density Fluctuations in Traffic FlowDensity fluctuations in traffic current are studied by computer simulations using the deterministic coupled map lattice model on a closed single-lane circuit. By calculating a power spectral density…S. Yukawa, M. Kikuchi·Jan 10, 1996SaveLearn
Biscale Chaos in Propagating FrontsThe propagating chemical fronts found in cubic autocatalytic reaction-diffusion processes are studied. Simulations of the reaction-diffusion equation near to and far from the onset of the front…Anatoly Malevanets, Agusti Careta, Raymond Kapral·Jan 10, 1996SaveLearn
Comment on ``Multicomponent turbulence, the spherical limit, and non-Kolmogorov spectra''It is shown that the generalization of the Navier-Stokes equations to a theory with N ``internal state" copies of the velocity fields is a step in a wrong direction: the N∞ limit has…Victor L'vov, Evgenii Podivilov, Itamar Procaccia·Jan 3, 1996SaveLearn