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Chaotic Dynamics papers — page 39

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Direct Numerical Simulations of the Kraichnan Model: Scaling Exponents and Fusion Rules
We present results from direct numerical simulations of the Kraichnan model for passive scalar advection by a rapidly-varying random scaling velocity field for intermediate values of the velocity…
Adrienne L. Fairhall, Barak Galanti, Victor S. L'vov et al.Jul 1, 1997
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Algebraic approximations to bifurcation curves of limit cycles for the Lienard equation
In this paper, we study the bifurcation of limit cycles in Lienard systems of the form dot(x)=y-F(x), dot(y)=-x, where F(x) is an odd polynomial that contains, in general, several free parameters. By…
Hector Giacomini, Sebastien NeukirchJun 30, 1997
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Comment on "Optimal Periodic Orbits of Chaotic Systems"
In a recent Letter, Hunt and Ott argued that SHORT-period unstable periodic orbits (UPOs) would be the invariant sets associated with a chaotic attractor that are most likely to optimize the time…
Scott M. Zoldi, Henry S. GreensideJun 27, 1997
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Slow Manifold Structure and the Emergence of Mixed-Mode Oscillations
A detailed study of the slow manifold of a model exhibiting mixed-mode oscillations is presented. A scenario for the emergence of mixed-mode states which does not involve phase locking on a 2-torus…
Andrei Goryachev, Peter Strizhak, Raymond KapralJun 26, 1997
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Chaotic Scattering on a Billiard
We investigate chaotic scattering on an attractive step potential with a quadrupolar deformation. The phase space features of the bound billiard are studied by using the notion of symmetry lines to…
Vincent J. Daniels, Michel Vallieres, Jian Min YuanJun 26, 1997
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Lasing Threshold and Mode Competition in Chaotic Cavities
The lasing threshold is studied of a multi-mode chaotic cavity (linear size D >> wavelength λ) coupled to the outside through a small hole (linear size d << λ). For sufficiently weak absorption by…
T. Sh. Misirpashaev, C. W. J. BeenakkerJun 25, 1997
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Spontaneous Emission in Chaotic Cavities
The spontaneous emission rate Γof a two-level atom inside a chaotic cavity fluctuates strongly from one point to another because of fluctuations in the local density of modes. For a cavity with…
T. Sh. Misirpashaev, P. W. Brouwer, C. W. J. BeenakkerJun 25, 1997
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Wave Dynamical Chaos in a Superconducting Three-Dimensional Sinai Billiard
Based on very accurate measurements performed on a superconducting microwave resonator shaped like a desymmetrized three-dimensional (3D) Sinai billiard, we investigate for the first time spectral…
H. Alt, C. Dembowski, H. -D. Graef et al.Jun 25, 1997
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Quantitative study of scars in the boundary section of the stadium billiard
We construct a semiclassically invariant function on the boundary of the billiard, taken as the Poincare section in Birkhoff coordinates, based on periodic orbit information, as an ansatz for the…
Fernando P. Simonotti, Eduardo Vergini, Marcos SaracenoJun 24, 1997
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New Universal Aspects of Diffusion in Strongly Chaotic Systems
We study some new universal aspects of diffusion in chaotic systems, especially such having very large Lyapunov coefficients on the chaotic (indecomposable, topologically transitive) component. We do…
Marko Robnik, Jure Dobnikar, Andrea Rapisarda et al.Jun 24, 1997
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Directed Percolation Universality in Asynchronous Evolution of Spatio-Temporal Intermittency
We present strong evidence that a coupled-map-lattice model for spatio-temporal intermittency belongs to the universality class of directed percolation when the updating rules are asynchronous, i.e.…
Juri Rolf, Tomas Bohr, Mogens H. JensenJun 23, 1997
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Comment on Energy Level Statistics in the Mixed Regime
We comment on the recent paper by Abul-Magd (J.Phys.A: Math.Gen. 29 (1996) 1) concerning the energy level statistics in the mixed regime, i.e. such having the mixed classical dynamics where regular…
Marko Robnik, Tomaz ProsenJun 23, 1997
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Turbulent-like Diffusion in Complex Quantum Systems
We study a quantum particle propagating through a ``quantum mechanically chaotic'' background, described by parametric random matrices with only short range spatial correlations. The particle…
Dimitri Kusnezov, Aurel Bulgac, Gui Do DangJun 22, 1997
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The Kolmogorov-Sinai Entropy for Dilute Gases in Equilibrium
We use the kinetic theory of gases to compute the Kolmogorov-Sinai entropy per particle for a dilute gas in equilibrium. For an equilibrium system, the KS entropy, hKS is the sum of all of the…
H. van Beijeren, J. R. Dorfman, H. A. Posch et al.Jun 18, 1997
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Invariants for Correlations of Velocity Differences in Turbulent Fields
The phenomenology of the scaling behavior of higher order structure functions of velocity differences across a scale R in turbulence should be built around the irreducible representations of the…
Victor S. L'vov, Evgenii Podivilov, Itamar ProcacciaJun 13, 1997
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Inverse cascade and intermittency of passive scalar in 1d smooth flow
Random advection of Lagrangian tracer scalar field θ(t,x) by a one-dimensional, spatially smooth and short-correlated in time velocity field is considered. Scalar fluctuations are maintained by a…
M. Chertkov, I. Kolokolov, M. VegrassolaJun 12, 1997
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Inverse versus direct cascades in turbulent advection
A model of scalar turbulent advection in compressible flow is analytically investigated. It is shown that, depending on the dimensionality d of space and the degree of compressibility of the smooth…
M. Chertkov, I. Kolokolov, M. VegrassolaJun 12, 1997
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An Exact Renormalization Group analysis of 3-d Well Developed turbulence
We take advantage of peculiar properties of three dimensional incompressible turbulence to introduce a nonstandard Exact Renormalization Group method. A Galilean invariance preserving regularizing…
Paolo TomassiniJun 11, 1997
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Towards a two-fluid picture of intermittency in shell models of turbulence
Intermittency in the Gledzer-Okhitani-Yamada (GOY) model of turbulence is explained in terms of collisions of coherent soliton-like structures with a random background issuing from the desintegration…
J. L. Gilson, T. DombreJun 11, 1997
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On the triple correlations in helical turbulence
The evolution of correlation characteristics in homogeneous helical turbulence is considered. Additional K'arm'an-Howarth type equations, describing the evolution of the mixed correlation…
Otto ChkhetianiJun 11, 1997
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Coarsening by Ginzburg-Landau Dynamics
We study slowly moving solutions of the real Ginzburg-Landau equation on the line, by a method due to J. Carr and R.L. Pego. These are functions taking alternately positive or negative values on…
J. -P. Eckmann, J. RougemontJun 10, 1997
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Curvature fluctuations and Lyapunov exponent at Melting
We calculate the maximal Lyapunov exponent in constant-energy molecular dynamics simulations at the melting transition for finite clusters of 6 to 13 particles (model rare-gas and metallic systems)…
Vishal Mehra, Ramakrishna RamaswamyJun 10, 1997
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The Limits of Mathematics -- A course on information theory and the limits of formal reasoning
This book is the final version of a course on algorithmic information theory and the epistemology of mathematics and physics. This is camera-ready copy prepared for publication as a book, but at the…
G. J. ChaitinJun 7, 1997
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Observing the Symmetry of Attractors
We show how the symmetry of attractors of equivariant dynamical systems can be observed by equivariant projections of the phase space. Equivariant projections have long been used, but they can give…
Jeffrey H. Schenker, James W. SwiftJun 6, 1997
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A Solvable Model for Spatiotemporal Chaos
We show that the dynamical behavior of a coupled map lattice where the individual maps are Bernoulli shift maps can be solved analytically for integer couplings. We calculate the invariant density of…
R. O. Grigoriev, H. G. SchusterJun 6, 1997
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