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Chaotic Dynamics papers — page 58

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Chaotic Dynamics of Binary Systems
We propose a theory of chaos for discrete systems, based on their representation in a space of ``binary histories'', B∞ . We show that B∞ is a metrizable Cantor…
H. Waelbroeck, F. ZertucheJun 1, 1995
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Evolution of Liouville density of a chaotic system
An area-preserving map of the unit sphere, consisting of alternating twists and turns, is mostly chaotic. A Liouville density on that sphere is specified by means of its expansion into spherical…
Asher Peres, Daniel TernoMay 31, 1995
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Chaotic principle: some applications to developed turbulence
Some models for developed turbulence are considered; they are shown to obey a large fluctuations theorem, and one among them also obeys a response reciprocity relation of Onsager's type. This…
Giovanni GallavottiMay 27, 1995
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Thermodynamic Description of the Relaxation of Two-Dimensional Euler Turbulence Using Tsallis Statistics
Euler turbulence has been experimentally observed to relax to a metaequilibrium state that does not maximize the Boltzmann entropy, but rather seems to minimize enstrophy. We show that a recent…
Bruce M. BoghosianMay 23, 1995
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Diffractive orbits in quantum billiards
We study diffractive effects in two dimensional polygonal billiards. We derive an analytical trace formula accounting for the role of non-classical diffractive orbits in the quantum spectrum. As an…
Nicolas Pavloff, Charles SchmitMay 18, 1995
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Disorder in the 1D spinless Holstein model
We investigate a spinless fermion system on a one dimensional lattice interacting locally with the optical modes of a quantized phonon field: the Holstein model. The system is shown to have a…
G. Benfatto, G. Gallavotti, L. LebowitzMay 16, 1995
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Trace formula for an ensemble of bumpy billiards.
We study the semiclassical quantization of an ensemble of billiards with a small random shape deformation. We derive a trace formula averaged over shape disorder. The results are illustrated by the…
Nicolas PavloffMay 16, 1995
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THE CONVERGENCE OF CHAOTIC INTEGRALS
We review the convergence of chaotic integrals computed by Monte Carlo simulation, the trace method, dynamical zeta function, and Fredholm determinant on a simple one-dimensional example: the…
Oliver Bauer, Ronnie MainieriMay 12, 1995
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The Origin of Non-chaotic Behavior in Identically Driven Systems
Recently it has been found that different physical systems driven by identical random noise behave exactly identical after a long time. It is also suggested that this is an outcome of finite…
P. M. Gade, Chaitali BasuMay 12, 1995
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Universal Behavior of Lyapunov Exponents in Unstable Systems
We calculate the Lyapunov exponents in a classical molecular dynamics framework. The system is composed of few hundreds particles interacting either through Yukawa (Nuclear) or Slater-Kirkwood…
A. Bonasera, V. Latora, A. RapisardaMay 10, 1995
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Predictability in Systems with Many Characteristic Times: The Case of Turbulence
In chaotic dynamical systems, an infinitesimal perturbation is exponentially amplified at a time-rate given by the inverse of the maximum Lyapunov exponent λ. In fully developed turbulence, λ…
E. Aurell, G. Boffetta, A. Crisanti et al.May 10, 1995
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Optimized Periodic Control of Chaotic Systems
In this work, we demonstrate the open-loop control of chaotic systems by means of optimized periodic signals. The use of such signals enables us to reduce control power significantly in comparison to…
Robert Mettin, Thomas KurzMay 9, 1995
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The Schroedinger Problem, Levy Processes Noise in Relativistic Quantum Mechanics
The main purpose of the paper is an essentially probabilistic analysis of relativistic quantum mechanics. It is based on the assumption that whenever probability distributions arise, there exists a…
P. Garbaczewski, J. R. Klauder, R. OlkiewiczMay 9, 1995
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Signatures of Classical Periodic Orbits on a Smooth Quantum System
Gutzwiller's trace formula and Bogomolny's formula are applied to a non--specific, non--scalable Hamiltonian system, a two--dimensional anharmonic oscillator. These semiclassical theories…
Daniel ProvostMay 8, 1995
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Pitch Perception of Complex Sounds: Nonlinearity Revisited
The ability of the auditory system to perceive the fundamental frequency of a sound even when this frequency is removed from the stimulus is an interesting phenomenon related to the pitch of complex…
D. L. Gonzalez, L. Morettini, F. Sportolari et al.May 5, 1995
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Magnetic Field Effect in a Two-dimensional Array of Short Josephson Junctions
We study analytically the effect of a constant magnetic field on the dynamics of a two dimensional Josephson array. The magnetic field induces spatially dependent states and coupling between rows,…
G. Filatrella, K. WiesenfeldMay 3, 1995
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ERROR PROPAGATION IN EXTENDED CHAOTIC SYSTEMS
A strong analogy is found between the evolution of localized disturbances in extended chaotic systems and the propagation of fronts separating different phases. A condition for the evolution to be…
A. Torcini, P. Grassberger, A. PolitiMay 2, 1995
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Chaotic Scattering Theory, Thermodynamic Formalism, and Transport Coefficients
The foundations of the chaotic scattering theory for transport and reaction-rate coefficients for classical many-body systems are considered here in some detail. The thermodynamic formalism of Sinai,…
P. Gaspard, J. R. Dorfman, .Apr 25, 1995
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High Temperature Expansions and Dynamical Systems
We develop a resummed high-temperature expansion for lattice spin systems with long range interactions, in models where the free energy is not, in general, analytic. We establish uniqueness of the…
J. Bricmont, A. KupiainenApr 25, 1995
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Experimental studies of Chaos and Localization in Quantum Wavefunctions
Wavefunctions in chaotic and disordered quantum billiards are studied experimentally using thin microwave cavities. The chaotic wavefunctions display universal density distributions and density…
A. Kudrolli, V. Kidambi, S. SridharApr 21, 1995
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Chaotic advection in three-dimensional unsteady incompressible laminar flow
We discuss chaotic advection in three-dimensional unsteady incompressible laminar flow, and analyse in detail the most important novel advection phenomenon in these flows; the global dispersion of…
Julyan H. E. Cartwright, Mario Feingold, Oreste PiroApr 18, 1995
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Bubble Shape Oscillations and the Onset of Sonoluminescence
An air bubble trapped in water by an oscillating acoustic field undergoes either radial or nonspherical pulsations depending on the strength of the forcing pressure. Two different instability…
Michael P. Brenner, Detlef Lohse, T. F. DupontApr 13, 1995
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Anomalous Scaling in a Model of Passive Scalar Advection: Exact Results
Kraichnan's model of passive scalar advection in which the driving velocity field has fast temporal decorrelation is studied as a case model for understanding the appearance of anomalous scaling…
A. Fairhall, O. Gat, V. S. L'vov et al.Apr 12, 1995
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Transition to nonchaotic behavior in a Brownian-type motion
A theoretical and numerical analysis of the transition from chaotic to nonchaotic behavior in an ensemble of particles with different initial conditions which move according to Newton's equations…
B. Kaulakys, G. VektarisApr 12, 1995
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Belavkin-Kolkoltsov watch-dog effects in interactively controlled stochastic computer-graphic dynamic systems. A mathematical study
Stochastic properties of the long-time behaviour of a continuously observed (and interactively controlled) quantum-field top are investigated mathematically. Applications to interactively controlled…
Denis JurievApr 11, 1995
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