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Chaotic Dynamics papers — page 51

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Heterogeneity Induced Order in Globally Coupled Chaotic Systems
Collective behavior is studied in globally coupled maps with distributed nonlinearity. It is shown that the heterogeneity enhances regularity in the collective dynamics. Low-dimensional quasiperiodic…
Tatsuo Shibata, Kunihiko KanekoApr 29, 1996
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Inflation of Hamiltonian System: The Spinning Top in Projective Space
We present a method to enlarge the phase space of a canonical Hamiltonian System in order to remove coordinate singularities arising from a nontrivial topology of the configuration space. This…
Holger R. DullinApr 26, 1996
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Low-Dimensional Modelling of Dynamics via Computer Algebra
I describe a method, particularly suitable to implementation by computer algebra, for the derivation of low-dimensional models of dynamical systems. The method is systematic and is based upon centre…
A. J. RobertsApr 22, 1996
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A New Method for Computing Topological Pressure
The topological pressure introduced by Ruelle and similar quantities describe dynamical multifractal properties of dynamical systems. These are important characteristics of mesoscopic systems in the…
Péter Pollner, Gábor VattayApr 18, 1996
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Coherent States Measurement Entropy
Coherent states (CS) quantum entropy can be split into two components. The dynamical entropy is linked with the dynamical properties of a quantum system. The measurement entropy, which tends to zero…
Jaroslaw Kwapien, Wojciech Slomczynski, Karol ZyczkowskiApr 18, 1996
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Transitions and Probes in Turbulent Helium
Previous analysis of a Paris turbulence experiment zoc94,tab95 shows a transition at the Taylor Reynolds number ≈ 700. Here correlation function data is analyzed which gives…
V. Emsellem, L. Kadanoff, D. Lohse et al.Apr 18, 1996
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Non-equilibrium Thermodynamics approach to Transport Processes in Gas Mixtures
The thermodynamic approach to non-equilibrium dynamics describes the state of macroscopic systems by means of a collection of intensities or intensive variables. The latter are by definition the…
Z. Hens, X. de HemptinneApr 16, 1996
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Growth of non-infinitesimal perturbations in turbulence
We discuss the effects of finite perturbations in fully developed turbulence by introducing a measure of the chaoticity degree associated to a given scale of the velocity field. This allows one to…
E. Aurell, G. Boffetta, A. Crisanti et al.Apr 15, 1996
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Equivalence of dynamical ensembles and Navier Stokes equations
A reversible version of the Navier Stokes equation is studied. A conjecture emerges stating the equivalence between the reversible equation and the usual Navier Stokes equation. The latter appears as…
Giovanni GallavottiApr 12, 1996
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Localization in Strongly Chaotic Systems
We show that, in the semiclassical limit and whenever the elements of the Hamiltonian matrix are random enough, the eigenvectors of strongly chaotic time-independent systems in ordered bases can on…
Mario FeingoldApr 12, 1996
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Long-time unbreaking correlations in the large number of degrees of freedom Hamiltonian system
A behaviour of molecular cluster with Lennard-Jones potential of interactions as Hamiltonian system is studied by computer simulation (molecular dynamics method). It is shown that complex periodic…
O. I. Gorsky, Yu. P KuchugurnyApr 11, 1996
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Winding number instability in the phase-turbulence regime of the Complex Ginzburg-Landau Equation
We give a statistical characterization of states with nonzero winding number in the Phase Turbulence (PT) regime of the one-dimensional Complex Ginzburg-Landau equation. We find that states with…
R. Montagne, E. Hernandez-Garcia, M. San MiguelApr 10, 1996
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Anomalous scaling of triple correlation function of white-advected passive scalar
For a short-correlated Gaussian velocity field the problem of a passive scalar with the imposed constant gradient is considered. It is shown that the scaling of three-point correlation function is…
D. Gutman, E. BalkovskyApr 9, 1996
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Period p-tuplings in coupled maps
We study the critical behavior (CB) of all period p-tuplings (p \!=\!2,3,4,…) in N (N \!=\! 2,3,4,…) symmetrically coupled one-dimensional maps. We first investigate the CB for the…
Sang-Yoon KimApr 5, 1996
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Quantum Chaotic Dynamics and Random Polynomials
We investigate the distribution of roots of polynomials of high degree with random coefficients which, among others, appear naturally in the context of "quantum chaotic dynamics". It is shown…
E. Bogomolny, O. Bohigas, P. LeboeufApr 5, 1996
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Phase Diffusion in Localized Spatio-Temporal Amplitude Chaos
We present numerical simulations of coupled Ginzburg-Landau equations describing parametrically excited waves which reveal persistent dynamics due to the occurrence of phase slips in sequential…
Glen D. Granzow, Hermann RieckeApr 4, 1996
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Energy-Conserving Truncations for Convection with Shear Flow
A method is presented for making finite Fourier mode truncations of the Rayleigh--Benard convection system that preserve invariants of the full partial differential equations in the dissipationless…
Jean-Luc Thiffeault, Wendell HortonApr 3, 1996
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Burgers Velocity Fields and the Electromagnetic Forcing in Schroedinger's Interpolating Dynamics
We explore a connection of the deterministically forced Burgers equation for local velocity fields with probabilistic solutions of the Schrödinger boundary data problem. An issue of deducing the most…
P. Garbaczewski, G. Kondrat, R. OlkiewiczApr 3, 1996
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Dynamical Zeta Functions, Nielsen theory and Reidemeister torsion
The paper consists of four parts. Part I presents a brief survey of the Nielsen fixed point theory. Part II deals with dynamical zeta functions connected with Nielsen fixed point theory. Part III is…
Alexander Fel'shtynApr 2, 1996
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Three disks in a row: A two-dimensional scattering analog of the double-well problem
We investigate the scattering off three nonoverlapping disks equidistantly spaced along a line in the two-dimensional plane with the radii of the outer disks equal and the radius of the inner disk…
Andreas Wirzba, Per. E RosenqvistApr 2, 1996
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Viscous Instanton for Burgers' Turbulence
We consider the tails of probability density functions (PDF) for different characteristics of velocity that satisfies Burgers equation driven by a large-scale force. The saddle-point approximation is…
E. Balkovsky, G. Falkovich, I. Kolokolov et al.Mar 31, 1996
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WKB expansion for the angular momentum and the Kepler problem: from the torus quantization to the exact one
We calculate the WKB series for the angular momentum and the non--relativistic 3-dim Kepler problem. This is the first semiclassical treatment of the angular momentum for terms beyond the leading WKB…
Marko Robnik, Luca SalasnichMar 29, 1996
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Spatial chaos in weakly dispersive and viscous media: a nonperturbative theory of the driven KdV-Burgers equation
The asymptotic travelling wave solution of the KdV-Burgers equation driven by the long scale periodic driver is constructed. The solution represents a shock-train in which the quasi-periodic sequence…
M. A. MalkovMar 29, 1996
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Gaussian Fluctuations in Chaotic Eigenstates
We study the fluctuations that are predicted in the autocorrelation function of an energy eigenstate of a chaotic, two-dimensional billiard by the conjecture (due to Berry) that the eigenfunction is…
Mark Srednicki, Frank StiernelofMar 28, 1996
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Scaling and Linear Response in the GOY Turbulence model
The GOY model is a model for turbulence in which two conserved quantities cascade up and down a linear array of shells. When the viscosity parameter, ν, is small the model has a qualitative…
Leo Kadanoff, Detlef Lohse, Norbert SchorghoferMar 27, 1996
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