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Chaotic Dynamics papers — page 20

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Bounded Gain of Energy on the Breathing Circle Billiard
The Breathing Circle is a 2-dimensional generalization of the Fermi Accelerator. It is shown that the billiard map associated to this model has invariant curves in phase space, implying that any…
Sylvie Oliffson Kamphorst, Sonia Pinto de CarvalhoNov 23, 1998
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Simulation of a Dripping Faucet
We present a simulation of a dripping faucet system. A new algorithm based on Lagrangian description is introduced. The shape of drop falling from a faucet obtained by the present algorithm agrees…
Nobuko Fuchikami, Shunya Ishioka, Ken KiyonoNov 21, 1998
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Multiscale velocity correlation in turbulence: experiments, numerical simulations, synthetic signals
Multiscale correlation functions in high Reynolds number experimental turbulence, numerical simulations and synthetic signals are investigated. Fusion Rules predictions as they arise from…
R. Benzi, L. Biferale, G. Ruiz-Chavarria et al.Nov 21, 1998
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On the Statistics of Small Scale Turbulence and its Universality
We present a method how to estimate from experimental data of a turbulent velocity field the drift and the diffusion coefficient of a Fokker-Planck equation. It is shown that solutions of this…
Ch. Renner, B. Reisner, St. Lück et al.Nov 16, 1998
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Chaotic scattering from pinball machine like systems
We study a model inspired by the pinball machine involving chaotic scattering of particles on hard disks with inelasticity. This system exhibits sensitivity not only on the initial conditions of the…
Constantia Alexandrou, Iacovos KyprianouNov 14, 1998
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Resonant dynamics of the H atom in an elliptically polarized microwave field
The dynamics of Rydberg states of atomic hydrogen driven by elliptically polarized microwaves of frequency fulfilling 2:1 classical resonance condition is investigated both semiclassically and…
Krzysztof Sacha, Jakub ZakrzewskiNov 13, 1998
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A semiclassical theory of quantum noise in open chaotic systems
We consider the quantum evolution of classically chaotic systems in contact with surroundings. Based on -scaling of an equation for time evolution of the Wigner's quasi-probability…
B. C. Bag, S. Chaudhuri, J. Ray Chaudhuri et al.Nov 13, 1998
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Definition of fractal measures arising from fractional calculus
It is wellknown that the ordinary calculus is inadequate to handle fractal structures and processes and another suitable calculus needs to be developed for this purpose. Recently it was realized that…
Kiran M. Kolwankar, Anil D. GangalNov 12, 1998
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Influence of phase space localization on the energy diffusion in a quantum chaotic billiard
The quantum dynamics of a chaotic billiard with moving boundary is considered in this work. We found a shape parameter Hamiltonian expansion which enables us to obtain the spectrum of the deformed…
D. A. Wisniacki, E. VerginiNov 10, 1998
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On the strong anomalous diffusion
The superdiffusion behavior, i.e. <x2(t)> t2 ν, with ν> 1/2, in general is not completely characherized by a unique exponent. We study some systems exhibiting strong anomalous diffusion,…
P. Castiglione, A. Mazzino, P. Muratore-Ginanneschi et al.Nov 9, 1998
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Synchronous Behavior of Two Coupled Biological Neurons
We report experimental studies of synchronization phenomena in a pair of biological neurons that interact through naturally occurring, electrical coupling. When these neurons generate irregular…
Robert C. Elson, Allen I. Selverston, Ramon Huerta et al.Nov 5, 1998
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Cascades of energy and helicity in the GOY shell model of turbulence
The effect of extreme hyperviscous damping, νknp, p=∞ is studied numerically in the GOY shell model of turbulence. It has resently been demonstrated [Leveque and She, Phys. Rev. Lett,…
P. D. DitlevsenNov 4, 1998
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Studies of fractal structures and processes using methods of fractional calculus
The thesis deals with applications of fractional calculus to fractals. It introduces the notion of local fractional derivative (LFD). Fractal and multifractal functions have been studied in the…
Kiran M. KolwankarNov 4, 1998
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Anomalous oscillations of average transient lifetimes near crises
It is common that the average length of chaotic transients appearing as a consequence of crises in dynamical systems obeys a power low of scaling with the distance from the crisis point. It is,…
Krzysztof Kacperski, Janusz A. HolystNov 3, 1998
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Cascades and statistical equilibrium in shell models of turbulence
We study the GOY shell model simulating the cascade processes of turbulent flow. The model has two inviscid invariants governing the dynamical behavior. Depending on the choice of interaction…
P. D. Ditlevsen, I. A. MogensenNov 2, 1998
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Phase slips and phase synchronization of coupled oscillators
The behaviors of coupled oscillators, each of which has periodic motion with random natural frequency in the absence of coupling, are investigated. Some novel collective phenomena are revealed. At…
Zhigang Zheng, Gang Hu, Bambi HuOct 31, 1998
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Trace formulas for stochastic evolution operators: Smooth conjugation method
The trace formula for the evolution operator associated with nonlinear stochastic flows with weak additive noise is cast in the path integral formalism. We integrate over the neighborhood of a given…
Predrag Cvitanovic, C. P. Dettmann, Ronnie Mainieri et al.Oct 30, 1998
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Entropy Production in Non-Linear, Thermally Driven Hamiltonian Systems
We consider a finite chain of non-linear oscillators coupled at its ends to two infinite heat baths which are at different temperatures. Using our earlier results about the existence of a stationary…
Jean-Pierre Eckmann, Claude-Alain Pillet, Luc Rey-BelletOct 30, 1998
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Large Coherent Structure Formation by Magnetic Stretching Term in Two-Dimensional MHD Turbulence
Using EDQNM approximation, it is shown that the magnetic stretching term is responsible for turning the small-scale turbulent structures into the large coherent magnetic structures in the 2-D MHD…
Akihiro Ishizawa, Yuji HattoriOct 30, 1998
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Bryuno Function and the Standard Map
For the standard map the homotopically non-trivial invariant curves of rotation number satisfying the Bryuno condition are shown to be analytic in the perturbative parameter, provided the latter is…
Alberto Berretti, Guido GentileOct 29, 1998
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Data-Adaptive Wavelets and Multi-Scale Singular Spectrum Analysis
Using multi-scale ideas from wavelet analysis, we extend singular-spectrum analysis (SSA) to the study of nonstationary time series of length N whose intermittency can give rise to the divergence…
P. Yiou, D. Sornette, M. GhilOct 29, 1998
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Geometric approach to chaos in the classical dynamics of abelian lattice gauge theory
A Riemannian geometrization of dynamics is used to study chaoticity in the classical Hamiltonian dynamics of a U(1) lattice gauge theory. This approach allows one to obtain analytical estimates of…
Lapo Casetti, Raoul Gatto, Marco PettiniOct 28, 1998
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Lyapunov Exponents for the Intermittent Transition to Chaos
The dependence of the Lyapunov exponent on the closeness parameter, ε, in tangent bifurcation systems is investigated. We study and illustrate two averaging procedures for defining Lyapunov…
James Hanssen, Walter WilcoxOct 23, 1998
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Fractional Calculus and the Evolution of Fractal Phenomena
It is argued that the evolution of complex phenomena ought to be described by fractional, differential, stochastic equations whose solutions have scaling properties and are therefore random, fractal…
Andrea Rocco, Bruce J. WestOct 23, 1998
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Homoclinic Structure Controls Chaotic Tunnelling
Tunnelling from a chaotic potential well is explained in terms of a set of complex periodic orbits which contain information about the real dynamics inside the well as well as the complex dynamics…
Stephen C. Creagh, Niall D. WhelanOct 22, 1998
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