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Chaotic Dynamics papers — page 35

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Chaos in the segments from Korean traditional singing and western singing
We investigate the time series of the segments from a Korean traditional song ``Gwansanyungma'' and a western song ``La Mamma Morta'' using chaotic analysis techniques. It is found…
Myeong-Hwa Lee, Jeong-No Lee, Kwang-Sup SohOct 28, 1997
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Electrodynamics of a two-electron atom with retardation and self-interaction effects
We study the linear stability of a circular orbit in a two-electron atom, with the inclusion of retardation and self-interaction effects. We calculate all the eigenvalues of the linear stability of…
Jayme De LucaOct 27, 1997
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Largest Lyapunov Exponent for Many Particle Systems at Low Densities
The largest Lyapunov exponent λ+ for a dilute gas with short range interactions in equilibrium is studied by a mapping to a clock model, in which every particle carries a watch, with a discrete…
R. van Zon, H. van Beijeren, Ch. DellagoOct 27, 1997
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Hamilton--Jacobi's equation and Arnold's diffusion near invariant tori in a priori unstable isochronous systems
Local integrability of hyperbolic oscillators is discussed to provide an introductory example of the Arnold's diffusion phenomenon in a forced pendulum. This is a text prepared for the the ISI…
Giovanni GallavottiOct 23, 1997
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Chaos and Quantumlike Mechanics in Atmospheric Flows : A Superstring Theory for Supergravity
The author has identified quantumlike mechanics in atmospheric flows with intrinsic nonlocal space-time connections manifested as the selfsimilar fractal geometry to the global cloud cover pattern…
A. Mary SelvamOct 22, 1997
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Exponentially rapid decoherence of quantum chaotic systems
We use a recent result to show that the rate of loss of coherence of a quantum system increases with increasing system phase space structure and that a chaotic quantal system in the semiclassical…
Arjendu K. Pattanayak, Paul BrumerOct 21, 1997
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Hierarchy in chaotic scattering in Hill's problem
Hierarchic properties of chaotic scattering in a model of satellite encounters, studied first by Petit and Henon, are examined by decomposing the dwell time function and comparing scattering…
Zoltan KovacsOct 20, 1997
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Symbolic Dynamics Analysis of the Lorenz Equations
Recent progress of symbolic dynamics of one- and especially two-dimensional maps has enabled us to construct symbolic dynamics for systems of ordinary differential equations (ODEs). Numerical study…
Bai-lin Hao, Jun-xian Liu, Wei-mou ZhengOct 18, 1997
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Towards the global: complexity, topology and chaos in modelling, simulation and computation
Topological effects produce chaos in multiagent simulation and distributed computation. We explain this result by developing three themes concerning complex systems in the natural and social…
David A. MeyerOct 17, 1997
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Localized Optimal Control of Spatiotemporal Chaos
A linear output feedback control scheme is developed for a coupled map lattice system. H-infinity control theory is used to make the scheme local: both the collection of information and the feedback…
Roman O. Grigoriev, Sanjay G. Lall, Geir E. DullerudOct 16, 1997
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Periodic orbit quantization of the Sinai billiard in the small scatterer limit
We consider the semiclassical quantization of the Sinai billiard for disk radii R small compared to the wave length 2 pi/k. Via the application of the periodic orbit theory of diffraction we derive…
Per Dahlqvist, Gabor VattayOct 16, 1997
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Multiscaling in Models of Magnetohydrodynamic Turbulence
From a direct numerical simulation of the MHD equations we show, for the first time, that velocity and magnetic-field structure functions exhibit multiscaling, extended self similarity (ESS), and…
Abhik Basu, Anirban Sain, Sujan K. Dhar et al.Oct 15, 1997
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Chaos of the Relativistic Parametrically Forced van der Pol Oscillator
A manifestly relativistically covariant form of the van der Pol oscillator in 1+1 dimensions is studied. We show that the driven relativistic equations, for which x and t are coupled, relax very…
Y. Ashkenazy, C. Goren, L. P. HorwitzOct 15, 1997
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Orbit stability in billiards in magnetic field
We study the stability properties of orbits in dispersing billiards in a homogeneous magnetic field by using a modified formalism based on the Bunimovich-Sinai curvature (horocycle method). We…
Zoltan KovacsOct 14, 1997
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Stochastic Response, Cascading and Control of Colored Noise in Dynamical System
We analytically determine the correlation functions of the stochastic response of a generic mapping system driven by colored noise. We also address the issue of noise cascading in coupled-element…
Rue-Ron Hsu, Jyh-Long Chern, Wei-Fu Lin et al.Oct 14, 1997
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Uniform semiclassical expansions for the direct part of Franck-Condon transitions
Semiclassical expansions for traces involving Greens functions have two contributions, one from the periodic or recurrent orbits of the classical system and one from the phase space volume, i.e. the…
B. Huepper, B. EckhardtOct 13, 1997
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Size-Dependent Transition to High-Dimensional Chaotic Dynamics in a Two-Dimensional Excitable Medium
The spatiotemporal dynamics of an excitable medium with multiple spiral defects is shown to vary smoothly with system size from short-lived transients for small systems to extensive chaos for large…
Matthew C. Strain, Henry S. GreensideOct 11, 1997
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Universal Quantification for Self-Organized Criticality in Atmospheric Flows
Atmospheric flows exhibit selfsimilar fluctuations on all scales(space-time) ranging from climate(kilometers/years) to turbulence(millimeters/seconds) manifested as fractal geometry to the global…
A. Mary SelvamOct 9, 1997
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Self Control of Chaotic Dynamics using LTI Filters
In this brief, an algorithm for controlling chaotic systems using small, continuous time perturbations is presented. Stabilisation is achieved by self controlling feedback using low order LTI…
Pabitra MitraOct 8, 1997
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Dynamical Organization around Turbulent Bursts
The detailed dynamics around intermittency bursts is investigated in turbulent shell models. We observe that the amplitude of the high wave number velocity modes vanishes before each burst, meaning…
Fridolin Okkels, Mogens H. JensenOct 6, 1997
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WKB corrections to the energy splitting in double-well potentials
By using the WKB quantization we deduce an analytical formula for the energy splitting in a double-well potential which is the usual Landau formula with additional quantum corrections. Then we…
Marko Robnik, Luca SalasnichOct 3, 1997
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Two complementary descriptions of intermittency
We describe two complementary formalisms designed for the description of probability density function (PDF) of the gradients of turbulent fields. The first approach, we call it adiabatic, describes…
E. Balkovsky, G. FalkovichOct 2, 1997
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Improving a method for the study of limit cycles of the Lienard equation
In recent papers we have introduced a method for the study of limit cycles of the Lienard system: dotx=y-F(x), doty=-x, where F(x) is an odd polynomial. The method gives a sequence of polynomials…
Hector Giacomini, Sebastien NeukirchOct 2, 1997
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Intermittency Route to Strange Nonchaotic Attractors
Strange nonchaotic attractors (SNA) arise in quasiperiodically driven systems in the neighborhood of a saddle node bifurcation whereby a strange attractor is replaced by a periodic (torus) attractor.…
Awadhesh Prasad, Vishal Mehra, Ramakrishna RamaswamyOct 2, 1997
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Dissipative Scaling Functions in Navier-Stokes Turbulence: Experimental Tests
A recent theoretical development in the understanding of the small-scale structure of Navier-Stokes turbulence has been the proposition that the scales ηn(R) that separate inertial from viscous…
Adrienne L. Fairhall, Victor S. L'vov, Itamar ProcacciaOct 1, 1997
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