Skip to content

Chaotic Dynamics papers — page 45

chao-dynBrowse archive

Synchronization of Spatiotemporal Chaos: The regime of coupled Spatiotemporal Intermittency
Synchronization of spatiotemporally chaotic extended systems is considered in the context of coupled one-dimensional Complex Ginzburg-Landau equations (CGLE). A regime of coupled spatiotemporal…
A. Amengual, E. Hernandez-Garcia, R. Montagne et al.Dec 5, 1996
Learn
Fractal Basins of Attraction Associated with a Damped Newton's Method
An intriguing and unexpected result for students learning numerical analysis is that Newton's method, applied to the simple polynomial z3 - 1 = 0 in the complex plane, leads to intricately…
Bogdan I. Epureanu, Henry S. GreensideDec 5, 1996
Learn
Stability ordering of cycle expansions
We propose that cycle expansions be ordered with respect to stability rather than orbit length for many chaotic systems, particularly those exhibiting crises. This is illustrated with the strong…
C. P. Dettmann, G. P. MorrissDec 5, 1996
Learn
Resonance Tunneling in Double-Well Billiards with a Pointlike Scatterer
The coherent tunneling phenomenon is investigated in rectangular billiards divided into two domains by a classically unclimbable potential barrier. We show that by placing a pointlike scatterer…
Taksu Cheon, T. ShigeharaDec 4, 1996
Learn
Topological Dependence of Universal Correlations in Multi-Parameter Hamiltonians
Universality of correlation functions obtained in parametric random matrix theory is explored in a multi-parameter formalism, through the introduction of a diffusion matrix Dij(R), and compared…
D. Mitchell, D. KusnezovDec 3, 1996
Learn
Parametric statistics of zeros of Husimi representations of quantum chaotic eigenstates and random polynomials
Local parametric statistics of zeros of Husimi representations of quantum eigenstates are introduced. It is conjectured that for a classically fully chaotic systems one should use the model of…
Tomaz ProsenDec 3, 1996
Learn
Exact statistics of complex zeros for Gaussian random polynomials with real coefficients
k-point correlations of complex zeros for Gaussian ensembles of Random Polynomials of order N with Real Coefficients (GRPRC) are calculated exactly, following an approach of Hannay for the case of…
Tomaz ProsenDec 3, 1996
Learn
Spatiotemporal Chaos in Large Systems: The Scaling of Complexity with Size
The dynamics of a nonequilibrium system can become complex because the system has many components (e.g., a human brain), because the system is strongly driven from equilibrium (e.g., large…
Henry S. GreensideDec 3, 1996
Learn
On the Integrability and Chaotic behaviour of an ecological model
A three species food chain model is studied analytically as well as numerically. Integrability of the model is studied using Painleve analysis while chaotic behaviour is studied using numerical…
M. P. JoyDec 2, 1996
Learn
SRB states and nonequilibrium statistical mechanics close to equilibrium
Nonequilibrium statistical mechanics close to equilibrium is studied using SRB states and a formula for their derivatives with respect to parameters. We write general expressions for the…
Giovannni Gallavotti, David RuelleNov 29, 1996
Learn
Scalar transport in compressible flow
Transport of scalar fields in compressible flow is investigated. The effective equations governing the transport at scales large compared to those of the advecting flow are derived by using…
M. Vergassola, M. AvellanedaNov 29, 1996
Learn
Nonuniversality in level dynamics
Statistical properties of parametric motion in ensembles of Hermitian banded random matrices are studied. We analyze the distribution of level velocities and level curvatures as well as their…
Paweł Kunstman, Karol Życzkowski, Jakub ZakrzewskiNov 28, 1996
Learn
Critical and Supercritical Dynamics of Quasiperiodic Systems
The almost periodic eigenvalue problem described by the Harper equation is connected to other classes of quasiperiodic behaviour: the dissipative dynamics on critical invariant tori and…
Jukka A. Ketoja, Indubala I. SatijaNov 28, 1996
Learn
Normal and Anomalous Diffusion in a Deterministic Area-preserving Map
Chaotic deterministic dynamics of a particle can give rise to diffusive Brownian motion. In this paper, we compute analytically the diffusion coefficient for a particular two-dimensional stochastic…
P. LeboeufNov 27, 1996
Learn
Quantization of generic chaotic 3D billiard with smooth boundary II: structure of high-lying eigenstates
This is the first survey of highly excited eigenstates of a chaotic 3D billiard. We introduce a strongly chaotic 3D billiard with a smooth boundary and we manage to calculate accurate eigenstates…
Tomaz ProsenNov 27, 1996
Learn
Quantization of generic chaotic 3D billiard with smooth boundary I: energy level statistic
Numerical calculation and analysis of extremely high-lying energy spectra, containing thousands of levels with sequential quantum number up to 62,000 per symmetry class, of a generic chaotic 3D…
Tomaz ProsenNov 27, 1996
Learn
Unified Model for The Study of Diffusion Localization and Dissipation
A new model that generalizes the study of quantum Brownian motion (BM) is constructed. We consider disordered environment that may be either static (quenched), noisy or dynamical. The…
Doron CohenNov 25, 1996
Learn
Computing Lyapunov spectra with continuous Gram-Schmidt orthonormalization
We present a straightforward and reliable continuous method for computing the full or a partial Lyapunov spectrum associated with a dynamical system specified by a set of differential equations. We…
Freddy Christiansen, Hans Henrik RughNov 25, 1996
Learn
On the Mechanism of Time--Delayed Feedback Control
The Pyragas method for controlling chaos is investigated in detail from the experimental as well as theoretical point of view. We show by an analytical stability analysis that the revolution around…
Wolfram Just, Thomas Bernard, Matthias Ostheimer et al.Nov 22, 1996
Learn
Bifractality of the Devil's staircase appearing in the Burgers equation with Brownian initial velocity
It is shown that the inverse Lagrangian map for the solution of the Burgers equation (in the inviscid limit) with Brownian initial velocity presents a bifractality (phase transition) similar to that…
E. Aurell, U. Frisch, A. Noullez et al.Nov 20, 1996
Learn
Geometric dynamical observables in rare gas crystals
We present a detailed description of how a differential geometric approach to Hamiltonian dynamics can be used for determining the existence of a crossover between different dynamical regimes in a…
Lapo Casetti, Alessandro MacchiNov 20, 1996
Learn
Penumbra diffraction in the quantization of concave billiards
The semiclassical description of billiard spectra is extended to include the diffractive contributions from orbits which are nearly tangent to a concave part of the boundary. The leading correction…
Harel Primack, Holger Schanz, Uzy Smilansky et al.Nov 19, 1996
Learn
Supersymmetric quantum mechanics based on higher excited states
We generalize the formalism and the techniques of the supersymmetric (susy) quantum mechanics to the cases where the superpotential is generated/defined by higher excited eigenstates. The…
Marko RobnikNov 18, 1996
Learn
Passive Scalar: Scaling Exponents and Realizability
An isotropic passive scalar field T advected by a rapidly-varying velocity field is studied. The tail of the probability distribution P(θ,r) for the difference θ in T across an inertial-range…
Robert H. KraichnanNov 16, 1996
Learn
Semiclassical Transition from an Elliptical to an Oval Billiard
Semiclassical approximations often involve the use of stationary phase approximations. This method can be applied when is small in comparison to relevant actions or action differences in the…
Martin SieberNov 14, 1996
Learn
← PreviousPage 45Next →