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Chaotic Dynamics papers — page 44

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Scars of Invariant Manifolds in Interacting Chaotic Few-Body Systems
We present a novel extension of the concept of scars for the wave functions of classically chaotic few-body systems of identical particles with rotation and permutation symmetry. Generically there…
T. Papenbrock, T. H. Seligman, H. A. WeidenmuellerJan 9, 1997
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Noise-Sustained currents in quasigeostrophic turbulence over topography
We study the development of mean structures in a nonlinear model of large scale ocean dynamics with bottom topography and dissipation, and forced with a noise term. We show that the presence of noise…
Alberto Alvarez, Emilio Hernandez-Garcia, Joaquin TintoreJan 9, 1997
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Quantum Kicked Dynamics and Classical Diffusion
We consider the quantum counterpart of the kicked harmonic oscillator showing that it undergoes the effect of delocalization in momentum when the classical diffusional threshold is obeyed. For this…
Marco FrascaJan 5, 1997
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Novel universal correlations in invariant random-matrix models
We show that eigenvalue correlations in unitary-invariant ensembles of large random matrices adhere to novel universal laws that only depend on a multicriticality of the bulk density of states near…
E. Kanzieper, V. FreilikherJan 5, 1997
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Universality in invariant random-matrix models: Existence near the soft edge
We consider two non-Gaussian ensembles of large Hermitian random matrices with strong level confinement and show that near the soft edge of the spectrum both scaled density of states and eigenvalue…
E. Kanzieper, V. FreilikherJan 5, 1997
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Transition between immune and disease states in a cellular automaton model of clonal immune response
In this paper we extend the Celada-Seiden (CS) model of the humoral immune response to include infectious virus and cytotoxic T lymphocytes (cellular response). The response of the system to virus…
Michele Bezzi, Franco Celada, Stefano Ruffo et al.Jan 2, 1997
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Stabilizing chaotic vortex trajectories: an example of high-dimensional control
A chaos control algorithm is developed to actively stabilize unstable periodic orbits of higher-dimensional systems. The method assumes knowledge of the model equations and a small number of…
A. Pentek, J. B. Kadtke, Z. ToroczkaiDec 27, 1996
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Noise-enhanced reconstruction of attractors
In principle, the state space of a chaotic attractor can be partially or wholly reconstructed from interspike intervals recorded from experiment. Under certain conditions, the quality of a partial…
R. Castro, T. SauerDec 27, 1996
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Clustering dynamics in globally coupled map lattices
Clustering bifurcations are investigated by considering models of globally coupled map lattices. Typical classes of clustering bifurcations are revealed. The clustering bifurcation thresholds of the…
Fagen Xie, Gang HuDec 27, 1996
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The Dynamics of Thermodynamics
Thermodynamic relations are derived from first principles of mechanics for non-equilibrium processes. Since the key role herein is played by the law of increase of entropy, the latter is analyzed at…
J. Kumicak, X. de HemptinneDec 24, 1996
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On the three-dimensional temporal spectrum of stretched vortices
The three-dimensional stability problem of a stretched stationary vortex is addressed in this letter. More specifically, we prove that the discrete part of the temporal spectrum is only associated…
M. Rossi, S. Le DizesDec 23, 1996
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Singularities in cascade models of the Euler equation
The formation of singularities in the three-dimensional Euler equation is investigated. This is done by restricting the number of Fourier modes to a set which allows only for local interactions in…
C. Uhlig, J. EggersDec 19, 1996
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Double Phase Slips and Spatio-Temporal Chaos in a Model for Parametrically Excited Standing Waves
We present results of numerical simulations of coupled Ginzburg-Landau equations that describe parametrically excited waves. In one dimension we focus on a new regime in which the Eckhaus sideband…
Glen D. Granzow, Hermann RieckeDec 16, 1996
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Linear stability in billiards with potential
A general formula for the linearized Poincaré map of a billiard with a potential is derived. The stability of periodic orbits is given by the trace of a product of matrices describing the piecewise…
Holger R. DullinDec 16, 1996
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Collective motion occurs inevitably in a class of populations of globally coupled chaotic elements
We discovered numerically a scaling law obeyed by the amplitude of collective mo tion in large populations of chaotic elements. Our analysis strongly suggests that such populations generically…
N. Nakagawa, T. S. KomatsuDec 14, 1996
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Nonlinear Landau damping in collisionless plasma and inviscid fluid
The evolution of an initial perturbation in Vlasov plasma is studied in the intrinsically nonlinear long-time limit dominated by the effects of particle trapping. After the possible transient linear…
M. B. IsichenkoDec 14, 1996
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Elliptic Quantum Billiard
The exact and semiclassical quantum mechanics of the elliptic billiard is investigated. The classical system is integrable and exhibits a separatrix, dividing the phasespace into regions of…
H. Waalkens, J. Wiersig, H. R. DullinDec 12, 1996
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The role of singularities in chaotic spectroscopy
We review the status of the semiclassical trace formula with emphasis on the particular types of singularities that occur in the Gutzwiller-Voros zeta function for bound chaotic systems. To…
Per DahlqvistDec 12, 1996
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Hamiltonian reformulation and pairing of Lyapunov exponents for Nose-Hoover dynamics
The Nose Hamiltonian is adapted, leading to a derivation of the Nose-Hoover equations of motion which does not involve time transformations, and in which the degree of freedom corresponding to the…
C. P. Dettmann, G. P. MorrissDec 10, 1996
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Three-point correlation function of a scalar mixed by an almost smooth random velocity field
We demonstrate that if the exponent γ that measures non-smoothness of the velocity field is small then the isotropic zero modes of the scalar's triple correlation function have the scaling…
E. Balkovsky, G. Falkovich, V. LebedevDec 10, 1996
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Classical Billiards in a Magnetic Field and a Potential
We study billiards in plane domains, with a perpendicular magnetic field and a potential. We give some results on periodic orbits, KAM tori and adiabatic invariants. We also prove the existence of…
N. BerglundDec 9, 1996
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Chaotic hysteresis in an adiabatically oscillating double well
We consider the motion of a damped particle in a potential oscillating slowly between a simple and a double well. The system displays hysteresis effects which can be of periodic or chaotic type. We…
N. Berglund, H. KunzDec 9, 1996
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Periodic Orbits, Breaktime and Localization
The main goal of the present paper is to convince that it is feasible to construct a `periodic orbit theory' of localization by extending the idea of classical action correlations. This…
Doron CohenDec 8, 1996
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Nonintegrable Interaction of Ion-Acoustic and Electromagnetic Waves in a Plasma
In this paper we re-examine the one-dimensional interaction of electromagnetic and ion acoustic waves in a plasma. Our model is similar to one solved by Rao et al. (Phys. Fluids, vol. 26, 2488…
Felipe B. Rizzato, Sergio R. Lopes, Abraham C. -L. ChianDec 5, 1996
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Controlling extended systems with spatially filtered, time-delayed feedback
We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time…
Michael E. Bleich, David Hochheiser, Jerome V. Moloney et al.Dec 5, 1996
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