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Chaotic Dynamics papers — page 37

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Fractal tracer distributions in turbulent field theories
We study the motion of passive tracers in a two-dimensional turbulent velocity field generated by the Kuramoto-Sivashinsky equation. By varying the direction of the velocity-vector with respect to…
Jonas Lundbek Hansen, Tomas BohrSep 9, 1997
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Non-normal parameter blowout bifurcation: an example in a truncated mean field dynamo model
We examine global dynamics and bifurcations occurring in a truncated model of a stellar mean field dynamo. This model has symmetry-forced invariant subspaces for the dynamics and we find examples of…
Eurico Covas, Peter Ashwin, Reza TavakolSep 8, 1997
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Vorticity alignment results for the three-dimensional Euler and Navier-Stokes equations
We address the problem in Navier-Stokes isotropic turbulence of why the vorticity accumulates on thin sets such as quasi-one-dimensional tubes and quasi-two-dimensional sheets. Taking our motivation…
B. Galanti, J. D. Gibbon, M. HeritageSep 4, 1997
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An Infinite Step Billiard
A class of non-compact billiards is introduced, namely the infinite step billiards, i.e., systems of a point particle moving freely in the domain Ω= n∈ [n,n+1] × [0,pn], with…
Mirko Degli Esposti, Gianluigi Del Magno, Marco LenciSep 3, 1997
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Intermittent dissipation of a passive scalar in turbulence
Probability density function (PDF) of passive scalar dissipation P (ε) is found analytically in the limit of large Peclet and Prandtl numbers (Batchelor-Kraichnan regime) in two dimensions.…
M. Chertkov, G. Falkovich, I. KolokolovSep 2, 1997
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Pendulum: separatrix splitting
An exact expression for the determinant of the splitting matrix is derived: it allows us to analyze the asympotic behaviour needed to amend the large angles theorem proposed in Ann. Inst. H.…
G. Gallavotti, G. Gentile, V. MastropietroSep 2, 1997
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Relationships among coefficients in deterministic and stochastic transient diffusion
Systems are studied in which transport is possible due to large extension with open boundaries in certain directions but the particles responsible for transport can disappear from it by leaving it in…
Z. KaufmannSep 1, 1997
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The Quantum Adiabatic Approximation in Chaotic Systems
Quantum systems with chaotic classical counterparts cannot be treated by perturbative techniques or any kind of adiabatic approximations. This is so, in spite of the quantum suppression of classical…
G. Abal, A. J. Pereira, A. Romanelli et al.Aug 29, 1997
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Probability density and scaling exponents of the moments of longitudinal velocity difference in strong turbulence
We consider a few cases of homogeneous and isotropic turbulence differing by the mechanisms of turbulence generation. The advective terms in the Navier-Stokes and Burgers equations are similar. It is…
Victor YakhotAug 28, 1997
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Invariant Measures in Generic Dynamical Systems
Irreversible thermodynamics of simple fluids have been connected recently to the theory of dynamical systems and some interesting assumptions have been made about the nature of the associated…
Jean-Pierre Eckmann, Itamar ProcacciaAug 27, 1997
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Structure of Eigenstates and Local Spectral Density of States: A Three-Orbital Schematic Shell Model
The average shape of the Spectral Local Density of States (LDOS) and eigenfunctions (EFs) has been studied numerically for a conservative dynamical model (three-orbital Lipkin-Meshkov-Glick model)…
Wen-ge Wang, F. M. Izrailev, G. CasatiAug 26, 1997
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Orbital measures in non-equilibrium statistical mechanics: the Onsager relations
We assume that the properties of nonequilibrium stationary states of systems of particles can be expressed in terms of weighted orbital measures, i.e. through periodic orbit expansions. This allows…
L. Rondoni, E. G. D. CohenAug 26, 1997
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Complex step-size dependences in tracking a simple two-body dynamics
In molecular simulations, one of the most difficult points is to track the real dynamics of many-body systems from the first principle. The present study shows that step-size dependences have an…
Ken UmenoAug 25, 1997
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Quantal-Classical Duality and the Semiclassical Trace Formula
We consider Hamiltonian systems which can be described both classically and quantum mechanically. Trace formulas establish links between the energy spectra of the quantum description and the spectrum…
Doron Cohen, Harel Primack, Uzy SmilanskyAug 22, 1997
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Strange Attractor in Immunology of Tumor Growth
The time delayed cytotoxic T-lymphocyte response on the tumor growth has been developed on the basis of discrete approximation (2-dimensional map). The growth kinetic has been described by logistic…
Margarita VoitikovaAug 21, 1997
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Front dynamics in turbulent media
A study of a stable front propagating in a turbulent medium is presented. The front is generated through a reaction-diffusion equation, and the turbulent medium is statistically modeled using a…
A. C. Marti, F. Sagues, J. M. SanchoAug 21, 1997
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Uniform Approximation for Period-Quadrupling Bifurcations
We derive a uniform approximation for semiclassical contributions of periodic orbits to the spectral density which is valid for generic period-quadrupling bifurcations in systems with a mixed phase…
Martin Sieber, Henning SchomerusAug 21, 1997
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Route to Chaos in the 15NH3 far infrared ring laser
The route to chaos as the pump power is raised in the Lorenz-like ammonia laser is studied using transients and compared with the route which is expected in the Lorenz Haken equations. The…
R. Dykstra, M. Y. Li, N. R. HeckenbergAug 21, 1997
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Cycle expansions for intermittent diffusion
We investigate intermittent diffusion using cycle expansions, and show that a truncation based on cycle stability achieves reasonable convergence.
Carl Dettmann, Predrag Cvitanovic'Aug 18, 1997
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Cycling chaos: its creation, persistence and loss of stability in a model of nonlinear magnetoconvection
We examine a model system where attractors may consist of a heteroclinic cycle between chaotic sets; this `cycling chaos' manifests itself as trajectories that spend increasingly long periods…
Peter Ashwin, A. M. RucklidgeAug 15, 1997
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Stellar Arrhythmias
The light curves of the two large amplitude variable stars, R Scuti and AC Herculis, display irregular pulsation cycles with 'periods' of 75 and 35 days, respectively. We review the evidence…
J. Robert BuchlerAug 13, 1997
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Burridge-Knopoff Models as Elastic Excitable Media
We construct a model of an excitable medium with elastic rather than the usual diffusive coupling. We explore the dynamics of elastic excitable media, which we find to be dominated by low dimensional…
Julyan H. E. Cartwright, Emilio Hernández-García, Oreste PiroAug 11, 1997
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Inert gas accumulation in sonoluminescing bubbles
In this paper we elaborate on the idea [Lohse et al., Phys. Rev. Lett. 78, 1359-1362 (1997)] that (single) sonoluminescing air bubbles rectify argon. The reason for the rectification is that nitrogen…
Detlef Lohse, Sascha HilgenfeldtAug 7, 1997
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Scaling of the irreducible SO(3)-invariants of velocity correlations in turbulence
The scaling behavior of the SO(3) irreducible amplitudes dnl(r) of velocity structure tensors (see L'vov, Podivilov, and Procaccia, Phys. Rev. Lett. (1997)) is numerically examined for…
Siegfried Grossmann, Detlef Lohse, Achim ReehAug 6, 1997
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Symmetry and Dynamics of A Magnetic Oscillator
We consider a permanent magnetic dipole in an oscillating magnetic field. This magnetic oscillator has two dynamical symmetries. With increasing the amplitude A of the magnetic field, dynamical…
Sang-Yoon KimAug 6, 1997
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