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Chaotic Dynamics papers — page 11

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Inverse cascade in two-dimensional turbulence: deviations from Gaussianity
High resolution numerical simulations of stationary inverse energy cascade in two-dimensional turbulence are presented. Deviations from Gaussianity of velocity differences statistics are…
G. Boffetta, A. Celani, M. VergassolaJun 9, 1999
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Spectra and statistics of velocity and temperature fluctuations in turbulent convection
Direct measurements of the velocity in turbulent convection of SF6 near its gas-liquid critical point by light scattering on the critical density fluctuations were conducted. The temperature,…
Shay Ashkenazi, Victor SteinbergJun 9, 1999
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Frozen spatial chaos induced by boundaries
We show that rather simple but non-trivial boundary conditions could induce the appearance of spatial chaos (that is stationary, stable, but spatially disordered configurations) in extended dynamical…
Victor M. Eguiluz, Emilio Hernandez-Garcia, Oreste Piro et al.Jun 9, 1999
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Numerical accuracy of Bogomolny's semiclassical quantization scheme in quantum billiards
We use the semiclassical quantization scheme of Bogomolny to calculate eigenvalues of the Lima con quantum billiard corresponding to a conformal map of the circle billiard. We use the entire…
Bambi Hu, Baowen Li, Daniel C RoubenJun 9, 1999
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Different Facets of Chaos in Quantum Mechanics
Nowadays there is no universally accepted definition of quantum chaos. In this paper we review and critically discuss different approaches to the subject, such as Quantum Chaology and the Random…
V. R. Manfredi, L. SalasnichJun 8, 1999
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Real Arnold complexity versus real topological entropy for birational transformations
We consider a family of birational transformations of two variables, depending on one parameter, for which simple rational expressions with integer coefficients, for the exact expression of the…
N. Abarenkova, J. -Ch. Anglès d'Auriac, S. Boukraa et al.Jun 4, 1999
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Chaotic Scattering on Graphs
Quantized, compact graphs were shown to be excellent paradigms for quantum chaos in bounded systems. Connecting them with leads to infinity we show that they display all the features which…
Tsampikos Kottos, U. SmilanskyJun 3, 1999
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Classical Diffusion and Quantum Level Velocities: Systematic Deviations from Random Matrix Theory
We study the response of the quasi-energy levels in the context of quantized chaotic systems through the level velocity variance and relate them to classical diffusion coefficients using detailed…
Arul Lakshminarayan, Nicholas R. Cerruti, Steven TomsovicJun 3, 1999
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Efficient algorithm for detecting unstable periodic orbits in chaotic systems
We present an efficient method for fast, complete, and accurate detection of unstable periodic orbits in chaotic systems. Our method consists of a new iterative scheme and an effective technique for…
Ruslan L. Davidchack, Ying-Cheng LaiJun 3, 1999
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Forces and torques on non-spherical particles in viscous shear flows
The behavior of a non-spherical particle in a viscous, plane channel flow is studied by means of a combination of analytical technique and geometrical reasoning. An efficient implementation of…
Piero OllaJun 2, 1999
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The behavior of closed inextensible membranes in linear and quadratic shear flows
The dynamics of a spheroidal vesicle, bounded by an inextensible membrane, is analyzed in function of the enclosed fluid viscosity, and of the membrane mechanical properties. The two situations in…
Piero OllaJun 1, 1999
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Finite times to equipartition in the thermodynamic limit
We study the time scale T to equipartition in a 1D lattice of N masses coupled by quartic nonlinear (hard) springs (the Fermi-Pasta-Ulam beta model). We take the initial energy to be either in a…
J. De Luca, A. Lichtenberg, S. RuffoMay 31, 1999
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Lagrangian Reduction, the Euler--Poincaré Equations, and Semidirect Products
There is a well developed and useful theory of Hamiltonian reduction for semidirect products, which applies to examples such as the heavy top, compressible fluids and MHD, which are governed by…
H. Cendra, D. D. Holm, J. E. Marsden et al.May 31, 1999
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Noise-amplitude dependence of the invariant density for noisy, fully chaotic one-dimensional maps
We present some analytic, non-perturbative results for the invariant density rho(x) for noisy one-dimensional maps at fully developed chaos. Under periodic boundary conditions, the Fourier expansion…
S. Seshadri, V. Balakrishnan, S. LakshmibalaMay 31, 1999
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Strange attractor for the renormalization flow for invariant tori of Hamiltonian systems with two generic frequencies
We analyze the stability of invariant tori for Hamiltonian systems with two degrees of freedom by constructing a transformation that combines Kolmogorov-Arnold-Moser theory and renormalization-group…
C. Chandre, H. R. JauslinMay 31, 1999
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Synchronization of chaotic systems driven by identical noise
An analysis of transition from chaotic to nonchaotic behavior and synchronization in an ensemble of systems driven by identical random forces is presented. The synchronization phenomenon is…
B. Kaulakys, F. Ivanauskas, T. MeskauskasMay 28, 1999
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Dynamical entropy for systems with stochastic perturbation
Dynamics of deterministic systems perturbed by random additive noise is characterized quantitatively. Since for such systems the KS-entropy diverges we analyse the difference between the total…
Andrzej Ostruszka, Prot Pakonski, Wojciech Slomczynski et al.May 27, 1999
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Breakdown of Modulational Approximations in Nonlinear Wave Interaction
In this work we investigate the validity limits of the modulational approximation as a method to describe the nonlinear interaction of conservative wave fields. We focus on a nonlinear Klein-Gordon…
G. J. L. Gerhardt, M. Frichembruder, F. B. Rizzato et al.May 26, 1999
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Information-Theoretic Limits of Control
Fundamental limits on the controllability of physical systems are discussed in the light of information theory. It is shown that the second law of thermodynamics, when generalized to include…
Hugo Touchette, Seth LloydMay 26, 1999
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Multichannel Quantum Defect Theory: a Quantum Poincare Map
The multichannel quantum defect theory (MQDT) can be reinterpreted as a quantum Poincare map in representation of angular momentum. This has two important implications: we have a paradigm of a true…
F. Leyvraz, R. A. Mendez-Sanchez, M. Lombardi et al.May 25, 1999
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The Accuracy of Semiclassical Quantization for Integrable Systems
The eigenvalues of the Hyperspherical billiard are calculated in the semiclassical approximation. The eigenvalues where this approximation fails are identified and found to be related to caustics…
Saar Rahav, Oded Agam, Shmuel FishmanMay 24, 1999
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Restart Strategies and Internet Congestion
We recently presented a methodology for quantitatively reducing the risk and cost of executing electronic transactions in a bursty network environment such as the Internet. In the language of…
Sebastian M. Maurer, Bernardo A. HubermanMay 21, 1999
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Dynamics of Elastic Excitable Media
The Burridge-Knopoff model of earthquake faults with viscous friction is equivalent to a van der Pol-FitzHugh-Nagumo model for excitable media with elastic coupling. The lubricated creep-slip…
Julyan H. E. Cartwright, Victor M. Eguiluz, Emilio Hernandez-Garcia et al.May 20, 1999
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Universality in Three-Frequency Resonances
We investigate the hierarchical structure of three-frequency resonances in nonlinear dynamical systems with three interacting frequencies. We hypothesize an ordering of these resonances based on a…
Julyan H. E. Cartwright, Diego L. Gonzalez, Oreste PiroMay 20, 1999
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Fuzzy Control of Chaos
We introduce the idea of the fuzzy control of chaos: we show how fuzzy logic can be applied to the control of chaos, and provide an example of fuzzy control used to control chaos in Chua's…
Oscar Calvo, Julyan H. E. CartwrightMay 20, 1999
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