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Chaotic Dynamics papers — page 2

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Thermodynamic Cross-Effects from Dynamical Systems
We give a thermodynamically consistent description of simultaneous heat and particle transport, as well as of the associated cross-effects, in the framework of a chaotic dynamical system, a…
Laszlo Matyas, Tamas Tel, Jurgen VollmerDec 20, 1999
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Differentiability Implies Continuity in Neuronal Dynamics
Recent work has identified nonlinear deterministic structure in neuronal dynamics using periodic orbit theory. Troublesome in this work were the significant periods of time where no periodic orbits…
Joseph T. Francis, Paul So, Bruce J. Gluckman et al.Dec 18, 1999
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Experimental improvement of chaotic synchronization due to multiplicative time-correlated Gaussian noise
The effect of time-correlated zero-mean Gaussian noise on chaotic synchronization is analyzed experimentally in small-size arrays of Chua's circuits. Depending on the correlation time, an…
V. Perez-Munuzuri, M. N. LorenzoDec 17, 1999
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Transition to Chaotic Phase Synchronization through Random Phase Jumps
Phase synchronization is shown to occur between opposite cells of a ring consisting of chaotic Lorenz oscillators coupled unidirectionally through driving. As the coupling strength is diminished,…
D. Pazo, I. P. Marino, V. Perez-Munuzuri et al.Dec 15, 1999
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Anomalous scaling in a shell model of helical turbulence
In a helical flow there is a subrange of the inertial range in which there is a cascade of both energy and helicity. In this range the scaling exponents associated with the cascade of helicity can be…
P. D. Ditlevsen, P. GiulianiDec 15, 1999
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Periodic-Orbit Theory of Anderson Localization on Graphs
We present the first quantum system where Anderson localization is completely described within periodic-orbit theory. The model is a quantum graph analogous to an a-periodic Kronig-Penney model in…
Holger Schanz, Uzy SmilanskyDec 15, 1999
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Critical behavior of vorticity in two-dimensional turbulence
We point out some similitudes between the statistics of high Reynolds number turbulence and critical phenomena. An analogy is developed for two-dimensional decaying flows, in particular by studying…
Denis BoyerDec 14, 1999
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Ultrasound scattering and the study of vortex correlations in disordered flows
In an idealized way, some turbulent flows can be pictured by assemblies of many vortices characterized by a set of particle distribution functions. Ultrasound provide an useful, nonintrusive, tool to…
Denis Boyer, Fernando LundDec 14, 1999
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Characteristic Relations of Type-I Intermittency in the Presence of Noise
Near the point of tangent bifurcation, the scaling properties of the laminar length of type-I intermittency are investigated in the presence of noise. Based on analytic and numerical studies, we show…
Won-Ho Kye, Chil-Min KimDec 13, 1999
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The boundary integral method for magnetic billiards
We introduce a boundary integral method for two-dimensional quantum billiards subjected to a constant magnetic field. It allows to calculate spectra and wave functions, in particular at strong fields…
Klaus Hornberger, Uzy SmilanskyDec 13, 1999
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Turbulent 4-wave Interaction of Two Type of Waves
We consider turbulent 4-wave interaction of two types of waves: acoustic waves (dispersion ω= k) and electromagnetic-type waves (dispersion Ω2 = m2 + p2). For large wave vectors ( k m),…
Maxim LyutikovDec 13, 1999
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Extraction of information about periodic orbits from scattering functions
As a contribution to the inverse scattering problem for classical chaotic systems, we show that one can select sequences of intervals of continuity, each of which yields the information about period,…
Thomas Bütikofer, Christof Jung, Thomas H. SeligmanDec 13, 1999
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The Nose-hoover thermostated Lorentz gas
We apply the Nose-Hoover thermostat and three variations of it, which control different combinations of velocity moments, to the periodic Lorentz gas. Switching on an external electric field leads to…
K. Rateitschak, R. Klages, W. G. HooverDec 10, 1999
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Generalized Stable Multivariate Distribution and Anisotropic Dilations
After having closely re-examined the notion of a L\'evy's stable vector, it is shown that the notion of a stable multivariate distribution is more general than previously defined. Indeed, a more…
D. Schertzer, M. Larcheveque, J. Duan et al.Dec 9, 1999
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Differential light scattering: probing the sonoluminescence collapse
We have developed a light scattering technique based on differential measurement and polarization (differential light scattering, DLS) capable in principle of retrieving timing information with…
G. Vacca, R. D. Morgan, R. B. LaughlinDec 9, 1999
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The effect of forcing on the spatial structure and spectra of chaotically advected passive scalars
The stationary distribution of passive tracers chaotically advected by a two-dimensional large-scale flow is investigated. The tracer field is force by resetting the value of the tracer in certain…
Zoltan Neufeld, Peter H. Haynes, Guillemette PicardDec 9, 1999
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Bifurcation analysis of the plane sheet pinch
A numerical bifurcation analysis of the electrically driven plane sheet pinch is presented. The electrical conductivity varies across the sheet such as to allow instability of the quiescent basic…
Joerg Schumacher, Norbert SeehaferDec 9, 1999
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Quantum-classical correspondence and nonclassical states generation in dissipative quantum optical systems
We develop a semiclassical method for the determination of the nonlinear dynamics of dissipative quantum optical systems in the limit of large number of photons N, based on the 1/N-expansion and the…
Kirill N. Alekseev, Natasha V. Alekseeva, Jan PerinaDec 9, 1999
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Algebraic Entropy of Birational Maps with Invariant Curves
The relevance of the algebraic entropy in the study of birational discrete time dynamical systems highlights the need to relate it to other characteristics of these systems. In this letter, two…
M. P. BellonDec 8, 1999
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Universality classes for self-similarity of noiseless multi-dimensional Burgers turbulence and interface growth
The present work is devoted to the evolution of random solutions of the unforced Burgers and KPZ equations in d-dimensions in the limit of vanishing viscosity. We consider a cellular model and as…
S. N. GurbatovDec 8, 1999
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From Generalized Synchrony to Topological Decoherence: Emergent Sets in Coupled Chaotic Systems
We consider the evolution of the unstable periodic orbit structure of coupled chaotic systems. This involves the creation of a complicated set outside of the synchronization manifold (the emergent…
E. Barreto, P. So, B. J. Gluckman et al.Dec 7, 1999
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Quantum Resonances and Regularity Islands in Quantum Maps
We study analytically as well as numerically the dynamics of a quantum map near a quantum resonance of an order q. The map is embedded into a continuous unitary transformation generated by a…
V. V. Sokolov, O. V. Zhirov, D. Alonso et al.Dec 7, 1999
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Dynamic bifurcations: hysteresis, scaling laws and feedback control
We review some properties of dynamical systems with slowly varying parameters, when a parameter is moved through a bifurcation point of the static system. Bifurcations with a single zero eigenvalue…
N. BerglundDec 6, 1999
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An exit-time approach to ε-entropy
An efficient approach to the calculation of the ε-entropy is proposed. The method is based on the idea of looking at the information content of a string of data, by analyzing the signal only at the…
M. Abel, L. Biferale, M. Cencini et al.Dec 3, 1999
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Reconstruction of systems with delayed feedback: (II) Application
We apply a recently proposed method for the analysis of time series from systems with delayed feedback to experimental data generated by a CO2 laser. The method is able to estimate the delay time…
M. J. Bünner, M. Ciofini, A. Giaquinta et al.Dec 3, 1999
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