Superposition of chaotic process with convergence to Levy's stable lawWe construct a family of chaotic dynamical systems with explicit broad distributions, which always violate the central limit theorem. In particular, we show that the superposition of many…Ken Umeno·Nov 26, 1997SaveLearn
Spontaneous Decoherence in Coupled Quantum Kicked RotatorsQuantum mechanical behavior of coupled N-kicked rotators is studied. In the large N limit each rotator evolves under influence of the mean-field generated by surrounding rotators. It is found that…N. Tsuda, T. Yukawa·Nov 21, 1997SaveLearn
Random Matrix Elements and Eigenfunctions in Chaotic SystemsThe expected root-mean-square value of a matrix element Aαβ in a classically chaotic system, where A is a smooth, -independent function of the coordinates and momenta, and α and β…Sanjay Hortikar, Mark Srednicki·Nov 20, 1997SaveLearn
Chaos in Periodically Perturbed Monopole + Quadrupole Like PotentialsThe motion of a particle that suffers the influence of simple inner (outer) periodic perturbations when it evolves around a center of attraction modeled by an inverse square law plus a…P. S. Letelier, W. M. Vieira·Nov 20, 1997SaveLearn
Transfer Operators for Coupled Analytic MapsWe consider analytic coupled map lattices over d with exponentially decaying interaction. We introduce Banach spaces for the infinite-dimensional system that include measures with analytic,…Torsten Fischer, Hans Henrik Rugh·Nov 18, 1997SaveLearn
Semiclassical limit of universal parametric density correlationsReviewing the semiclassical theory for the parametric level density fluctuations, we show that for large parametric changes the density correlation function, after rescaling, becomes universal and…Alfredo M. Ozorio de Almeida, Caio H. Lewenkopf, Eduardo R. Mucciolo·Nov 17, 1997SaveLearn
Ionization via Chaos Assisted TunnelingA simple example of quantum transport in a classically chaotic system is studied. It consists in a single state lying on a regular island (a stable primary resonance island) which may tunnel into a…Jakub Zakrzewski, Dominique Delande, Andreas Buchleitner·Nov 13, 1997SaveLearn
Analytical Approach for Piecewise Linear Coupled Map LatticesA simple construction is presented, which generalises piecewise linear one-dimensional Markov maps to an arbitrary number of dimensions. The corresponding coupled map lattice, known as a simplicial…Wolfram Just·Nov 13, 1997SaveLearn
Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics, and Stokes transitionsWe investigate classical and semiclassical aspects of codimension--two bifurcations of periodic orbits in Hamiltonian systems. A classification of these bifurcations in autonomous systems with two…Henning Schomerus·Nov 12, 1997SaveLearn
ESS and Dissipation Range Dynamics of 3-D TurbulenceWe carry out a self consistent calculation of the structure functions in the dissipation range using Navier Stokes equation. Combining these results with the known structures in the inertial range,…Anirban Sain, J. K. Bhattacharjee·Nov 12, 1997SaveLearn
Energy level statistics in the transition regime between integrability and chaos for systems with broken antiunitary symmetryEnergy spectra of a particle with mass m and charge e in the cubic Aharonov-Bohm billiard containing around 104 consecutive levels starting from the ground state have been analysed. The cubic…Marko Robnik, Jure Dobnikar, Tomaz Prosen·Nov 10, 1997SaveLearn
Holder exponents of irregular signals and local fractional derivativesIt has been recognized recently that fractional calculus is useful for handling scaling structures and processes. We begin this survey by pointing out the relevance of the subject to physical…Kiran M. Kolwankar, Anil D. Gangal·Nov 9, 1997SaveLearn
Strange Nonchaotic Attractors in the Quasiperiodically forced Logistic MapDifferent mechanisms for the creation of strange non-chaotic dynamics in the quasiperiodically forced logistic map are studied. These routes to strange nonchaos are characterised through the behavior…Awadhesh Prasad, Vishal Mehra, Ramakrishna Ramaswamy·Nov 7, 1997SaveLearn
Electrodynamics of helium with retardation and diffusion along the center manifold of Wannier orbitsWe show that an extra complex constant of motion with an analytic form can exist in the neighborhood of some discrete Wannier orbits of helium, when one includes retardation and self-interaction…Jayme De Luca·Nov 6, 1997SaveLearn
Chaotic Properties of Dilute Two and Three Dimensional Random Lorentz Gases I: Equilibrium SystemsWe compute the Lyapunov spectrum and the Kolmogorov-Sinai entropy for a moving particle placed in a dilute, random array of hard disk or hard sphere scatterers - i.e. the dilute Lorentz gas model.…H. van Beijeren, A. Latz, J. R. Dorfman·Nov 5, 1997SaveLearn
A general approach to the localization of unstable periodic orbits in chaotic dynamical systemsWe present a method to detect the unstable periodic orbits of a multidimensional chaotic dynamical system. Our approach allows us to locate in an efficient way the unstable cycles of, in principle,…P. Schmelcher, F. K. Diakonos·Nov 4, 1997SaveLearn
Chaos and Thermalization in a Dynamical Model of Two Interacting ParticlesA quantum dynamical model of two interacting spins, with chaotic and regular components, is investigated using a finite two-particles symmetrized basis. Chaotic eigenstates give rise to an…F. Borgonovi, I. Guarneri, F. M. Izrailev et al.·Nov 3, 1997SaveLearn
Mimicking a turbulent signal: sequential multiaffine processesAn efficient method for the construction of a multiaffine process, with prescribed scaling exponents, is presented. At variance with the previous proposals, this method is sequential and therefore it…L. Biferale, G. Boffetta, A. Celani et al.·Nov 3, 1997SaveLearn
Amplitude Equations and Chemical Reaction-Diffusion SystemsThe paper discusses the use of amplitude equations to describe the spatio-temporal dynamics of a chemical reaction-diffusion system based on an Oregonator model of the Belousov-Zhabotinsky reaction.…M. Ipsen, F. Hynne, P. G. Soerensen·Nov 3, 1997SaveLearn
Multifractal Interpolation of Universal MultifractalsBasing on invariant properties of universal multifractals we propose a simple algorithm for interpolation of multifractal densities. The algorithm admits generalization to a multidimensional case.…V. G. Bar'yahtar, V. Yu. Gonchar, D. Schertzer et al.·Nov 1, 1997SaveLearn
Synchronization and Control of Spatiotemporal Chaos using Time-Series Data from Local RegionsIn this paper we show that the analysis of the dynamics in localized regions, i.e., sub-systems can be used to characterize the chaotic dynamics and the synchronization ability of the spatiotemporal…Nita Parekh, V. Ravi Kumar, B. D. Kulkarni·Oct 31, 1997SaveLearn
Billiard Systems in Three Dimensions: The Boundary Integral Equation and the Trace FormulaWe derive semiclassical contributions of periodic orbits from a boundary integral equation for three-dimensional billiard systems. We use an iterative method that keeps track of the composition of…Martin Sieber·Oct 31, 1997SaveLearn
Correlations in Chaotic Eigenfunctions at Large SeparationAn energy eigenfunction in a classically chaotic system is known to have spatial correlations which (in the limit of small ) are governed by a microcanonical distribution in the classical…Sanjay Hortikar, Mark Srednicki·Oct 30, 1997SaveLearn
Time-reversible Dynamical Systems for TurbulenceDynamical Ensemble Equivalence between hydrodynamic dissipative equations and suitable time-reversible dynamical systems has been investigated in a class of dynamical systems for turbulence. The…L. Biferale, D. Pierotti, A. Vulpiani·Oct 29, 1997SaveLearn
Symmetry Reduction and Semiclassical Analysis of Axially Symmetric SystemsWe derive a semiclassical trace formula for a symmetry reduced part of the spectrum in axially symmetric systems. The classical orbits that contribute are closed in (ρ,z,pρ,pz) and have pϕ= m…Santanu Pal, Debabrata Biswas·Oct 29, 1997SaveLearn