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Chaotic Dynamics papers — page 32

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An Analytical Construction of the SRB Measures for Baker-type Maps
For a class of dynamical systems, called the axiom-A systems, Sinai, Ruelle and Bowen showed the existence of an invariant measure (SRB measure) weakly attracting the temporal average of any initial…
Shuichi Tasaki, Thomas Gilbert, J. R. DorfmanJan 23, 1998
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An extension of the Lyapunov analysis for the predictability problem
The predictability problem for systems with different characteristic time scales is investigated. It is shown that even in simple chaotic dynamical systems, the leading Lyapunov exponent is not…
G. Boffetta, P. Giuliani, G. Paladin et al.Jan 22, 1998
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Chaotic Behavior in Shell Models and Shell Maps
We study the chaotic behavior of the ``GOY'' shell model by measuring the variation of the maximal Lyapunov exponent with the parameter ε which determines the nature of the second invariant…
Julien Kockelkoren, Fridolin Okkels, Mogens H. JensenJan 20, 1998
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General theory and examples of the inverse Frobenius-Perron problem
The general solution of the inverse Frobenius-Perron problem considering the construction of a fully chaotic dynamical system with given invariant density is obtained within the class of…
D. Pingel, P. Schmelcher, F. K. DiakonosJan 20, 1998
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Mixing in a Meandering Jet: a Markovian Approximation
In this paper we investigate mixing and transport in correspondence of a meandering jet. The large-scale flow field is a kinematically assigned streamfunction. Two basic mixing mechanisms are…
M. Cencini, G. Lacorata, A. Vulpiani et al.Jan 20, 1998
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On the Accuracy of the Semiclassical Trace Formula
The semiclassical trace formula provides the basic construction from which one derives the semiclassical approximation for the spectrum of quantum systems which are chaotic in the classical limit.…
Harel Primack, Uzy SmilanskyJan 16, 1998
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Low dimensional travelling interfaces in coupled map lattices
We study the dynamics of the travelling interface arising from a bistable piece-wise linear one-way coupled map lattice. We show how the dynamics of the interfacial sites, separating the two…
R. Carretero-GonzálezJan 16, 1998
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Targetting Chaos through Adaptive Control
We describe adaptive control algorithms whereby a chaotic dynamical system can be steered to a target state with desired characteristics. A specific implementation considered has the objective of…
Ramakrishna Ramaswamy, Sudeshna Sinha, Neelima GupteJan 15, 1998
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Stochastic Ionization of Relativistic Hydrogen-Like Atom
Stochastic ionization of highly excited relativistic hydrogenlike atom in the monochromatic field is considered. A theoretical analisis of chaotic dynamics of the electron based on Chirikov's…
D. MatrasulovJan 15, 1998
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Finite-time Lyapunov exponents of Strange Nonchaotic Attractors
The probability distribution of finite-time Lyapunov exponents provides an important characterization of dynamical attractors. We study such distributions for strange nonchaotic attractors (SNAs)…
Awadhesh Prasad, Ramakrishna RamaswamyJan 15, 1998
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Groups and nonlinear dynamical systems. Chaotic dynamics on the SU(2)xSU(2) group
In our previous paper: K. Kowalski and J. Rembieliński, Groups and nonlinear dynamical systems. Dynamics on the SU(2) group, Physica D 99, 237 (1996), we introduced an abstract Newton-like equation…
K. Kowalski, J. RembielinskiJan 14, 1998
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Groups and nonlinear dynamical systems. Dynamics on the SU(2) group
An abstract Newton-like equation on a general Lie algebra is introduced such that orbits of the Lie-group action are attracting set. This equation generates the nonlinear dynamical system satisfied…
K. Kowalski, J. RembielinskiJan 14, 1998
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Hamilton's principle for quasigeostrophic motion
We show that the equation of quasigeostrophic (QG) potential vorticity conservation in geophysical fluid dynamics follows from Hamilton's principle for stationary variations of an action for…
Darryl D. Holm, Vladimir ZeitlinJan 13, 1998
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Comparative Study of the Adiabatic Evolution of a Nonlinear Damped Oscillator and an Hamiltonian Generalized Nonlinear Oscillator
In this paper we study to what extent the canonical equivalence and the identity of the geometric phases of dissipative and conservative linear oscillators, established in a preceeding paper, can be…
O. V. Usatenko, J. -P. Provost, G. Vallee et al.Jan 13, 1998
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The Maxwell-Vlasov equations in Euler-Poincare form
Low's well known action principle for the Maxwell-Vlasov equations of ideal plasma dynamics was originally expressed in terms of a mixture of Eulerian and Lagrangian variables. By imposing…
H. Cendra, D. D. Holm, M. J. W. Hoyle et al.Jan 13, 1998
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The Euler-Poincare Equations and Semidirect Products with Applications to Continuum Theories
We study Euler-Poincare systems (i.e., the Lagrangian analogue of Lie-Poisson Hamiltonian systems) defined on semidirect product Lie algebras. We first give a derivation of the Euler-Poincare…
D. D. Holm, J. E. Marsden, T. S. RatiuJan 13, 1998
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B. B. G. K. Y. Hierarchy Methods for Sums of Lyapunov Exponents for Dilute Gases
We consider a general method for computing the sum of positive Lyapunov exponents for moderately dense gases. This method is based upon hierarchy techniques used previously to derive the generalized…
J. R. Dorfman, Arnulf Latz, Henk van BeijerenJan 12, 1998
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Characterization of the spatial complex behavior and transition to chaos in flow systems
We introduce a ``spatial'' Lyapunov exponent to characterize the complex behavior of non chaotic but convectively unstable flow systems. This complexity is of spatial type and is due to…
M. Falcioni, D. Vergni, A. VulpianiJan 12, 1998
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Water temperature dependence of single bubble sonoluminescence
The strong dependence of the intensity of single bubble sonoluminescence (SBSL) on water temperature observed in experiment can be accounted for by the temperature dependence of the material…
Sascha Hilgenfeldt, Detlef Lohse, Willy MossJan 11, 1998
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Plateau in Above-Threshold-Ionization Spectra and Chaotic Behavior in Rescattering Process
An improved quasistatic model is used to describe the ionization process of atoms in intense linearly polarized fields. Numerical calculations of Above-Threshold-Ionization (ATI) energy spectra and…
Jie Liu, Shi-Gang Chen, Bambi HuJan 10, 1998
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Mode-locking in coupled map lattices
We study propagation of pulses along one-way coupled map lattices, which originate from the transition between two superstable states of the local map. The velocity of the pulses exhibits a…
R. Carretero-González, D. K. Arrowsmith, F. VivaldiJan 9, 1998
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Separatrix Reconnections in Chaotic Regimes
In this paper we extend the concept of separatrix reconnection into chaotic regimes. We show that even under chaotic conditions one can still understand abrupt jumps of diffusive-like processes in…
G. Corso, F. B. RizzatoJan 8, 1998
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Chaos and Energy Redistribution the Nonlinear Interaction of Two Spatio-Temporal Wave Triplets
In this paper we examine the spatio-temporal dynamics of two nonlinearly coupled wave triplets sharing two common modes. Our basic findings are the following. When spatial dependence is absent, the…
S. R. Lopes, F. B. RizzatoJan 8, 1998
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Multiscale velocity correlations in turbulence
Multiscale correlation functions in high Reynolds number experimental turbulence and synthetic signals are investigated. Fusion Rules predictions as they arise from multiplicative, almost…
R. Benzi, L. Biferale, F. ToschiJan 7, 1998
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Chaotic Behavior of a One-dimensional Model Atom in an Intense Field
In this paper we describe the rescattering process in optical field ionization through a one-dimensional model, which improves the well-known quasistatic model by adding the smoothed Coulomb…
Jie Liu, Shi-Gang Chen, Bambi HuJan 7, 1998
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