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Chaotic Dynamics papers — page 54

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Extended Self-Similarity in Turbulent Systems: an Analytically Soluble Example
In turbulent flows the n'th order structure functions Sn(R) scale like Rζn when R is in the "inertial range". Extended Self-Similarity refers to the substantial increase in…
Daniel Segel, Victor L'vov, Itamar ProcacciaJan 3, 1996
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Scaling Behavior in Turbulence is Doubly Anomalous
It is shown that the description of anomalous scaling in turbulent systems requires the simultaneous use of two normalization scales. This phenomenon stems from the existence of two independent…
Victor L'vov, Evgenii Podivilov, Itamar ProcacciaJan 3, 1996
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Smoothing Strange Attractors Using Splines
A noise-reduction algorithm for time-series of non-linear systems is presented. The algorithm smoothes the attractors in phase space using B-splines, allowing a more accurate measure of their…
Junheng Luo, Dominique ThiebautDec 31, 1995
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Level spacing distribution of pseudointegrable billiard
In this paper, we examine the level spacing distribution P(S) of the rectangular billiard with a single point-like scatterer, which is known as pseudointegrable. It is shown that the observed…
T. Shigehara, N. Yoshinaga, Taksu Cheon et al.Dec 29, 1995
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Folded Bifurcation in Coupled Asymmetric Logistic Maps
A system of coupled two logistic maps, one periodic and the other chaotic, is studied. It is found that with the variation of the coupling strength, the system displays several curious features such…
Shoichi Midorikawa, Takayuki Kubo, Taksu CheonDec 28, 1995
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Instantons and Intermittency
We propose the new method for finding the non-Gaussian tails of probability distribution function (PDF) for solutions of a stochastic differential equation, such as convection equation for a passive…
G. Falkovich, I. Kolokolov, V. Lebedev et al.Dec 27, 1995
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Statistical Test for Dynamical Nonstationarity in Observed Time-Series Data
Information in the time distribution of points in a state space reconstructed from observed data yields a test for ``nonstationarity''. Framed in terms of a statistical hypothesis test, this…
Matthew B. KennelDec 21, 1995
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Characterization of chaos in random maps
We discuss the characterization of chaotic behaviours in random maps both in terms of the Lyapunov exponent and of the spectral properties of the Perron-Frobenius operator. In particular, we study a…
V. Loreto, G. Paladin, M. Pasquini et al.Dec 12, 1995
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Ergodic properties of quantized toral automorphisms
We study the ergodic properties for a class of quantized toral automorphisms, namely the cat and Kronecker maps. The present work uses and extends the results of [KL]. We show that quantized cat maps…
S. Klimek, A. Lesniewski, N. Maitra et al.Dec 8, 1995
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Practical and algorithmical manifestations of quantum chaos
Quantum chaos manifests itself also in algorithmical complexity of methods, including the numerical ones, in solving the Schrödinger equation. In this contribution we address the problem of…
Baowen Li, Marko RobnikDec 7, 1995
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Classical and Quantum Chaotic Behaviors of Two Colliding Harmonic Oscillators
We have systematically studied both classical and quantum chaotic behaviors of two colliding harmonic oscillators. The classical case falls in Kolmogorov-Arnold-Moser class. It is shown that there…
Qing-Rong Zheng, Gang Su, De-Hai ZhangDec 1, 1995
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Random band matrix approach to chaotic scattering: the average S-matrix and its pole distribution
Random band matrices relevant for open chaotic systems are introduced and studied. The scattering model based on such matrices may serve for the description of preequilibrium chaotic scattering. In…
D. V. SavinDec 1, 1995
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Lindstedt series, ultraviolet divergences and Moser's theorem
Moser's invariant tori for a class of nonanalytic quasi integrable even hamiltonian systems are shown to be analytic in the perturbation parameter. We do so by exhibiting a summation rule for the…
F. Bonetto, G. Gallavotti, G. Gentile et al.Nov 28, 1995
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Maximal Lyapunov exponent at Crises
We study the variation of Lyapunov exponents of simple dynamical systems near attractor-widening and attractor-merging crises. The largest Lyapunov exponent has universal behaviour, showing abrupt…
Vishal Mehra, Ramakrishna RamaswamyNov 28, 1995
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Semiquantum Chaos in the Double-Well
The new phenomenon of semiquantum chaos is analyzed in a classically regular double-well oscillator model. Here it arises from a doubling of the number of effectively classical degrees of freedom,…
T. Blum, H. -Th. ElzeNov 25, 1995
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Local Scaling in Homogeneous Hamiltonian Systems
We study the local scaling properties associated with straight line periodic orbits in homogeneous Hamiltonian systems, whose stability undergoes repeated oscillations as a function of one parameter.…
A. Lakshminarayan, M. S. Santhanam, V. B. SheoreyNov 24, 1995
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Generalized phase transitions in finite coupled map lattices
We investigate generalized phase transitions of type localization - delocalization from one to several Sinai-Bowen-Ruelle invariant measures in finite networks of chaotic elements (coupled map…
Michael BlankNov 23, 1995
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Bohr-Sommerfeld Quantization of Periodic Orbits
We show, that the canonical invariant part of corrections to the Gutzwiller trace formula and the Gutzwiller-Voros spectral determinant can be computed by the Bohr-Sommerfeld quantization…
Gabor VattayNov 16, 1995
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Symbolic Dynamics and Periodic Orbits for the Cardioid Billiard
The periodic orbits of the strongly chaotic cardioid billiard are studied by introducing a binary symbolic dynamics. The corresponding partition is mapped to a topological well-ordered symbol plane.…
A. Bäcker, H. R. DullinNov 16, 1995
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Thermal Fluctuations in Quantized Chaotic Systems
We consider a quantum system with N degrees of freedom which is classically chaotic. When N is large, and both and the quantum energy uncertainty ΔE are small, quantum chaos theory can…
Mark SrednickiNov 10, 1995
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Eigenvalue spectrum of the Frobenius-Perron operator near intermittency
The spectral properties of the Frobenius-Perron operator of one-dimensional maps are studied when approaching a weakly intermittent situation. Numerical investigation of a particular family of maps…
Z. Kaufmann, H. Lustfeld, J. BeneNov 10, 1995
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Decay of correlations, Lyapunov exponents and anomalous diffusion in the Sinai billiard
We compute the decay of the velocity autocorrelation function, the Lyapunov exponent and the diffusion constant for the Sinai billiard within the framework of dynamical zeta functions. The asymptotic…
Per DahlqvistNov 2, 1995
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Stability of periodic orbits controlled by time-delay feedback
Extended time-delay auto-synchronization (ETDAS) is a promising technique for stabilizing unstable periodic orbits in low-dimensional dynamical systems. The technique involves continuous feedback of…
Michael E. Bleich, Joshua E. S. SocolarOct 28, 1995
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2D Quantum Hydrogen Atom in Circularly Polarized Microwaves
The ionization of hydrogen Rydberg atoms by circularly polarized microwaves is studied quantum mechanically in a model two dimensional atom. We apply a combination of a transformation to the…
Jakub Zakrzewski, Robert Gebarowski, Dominique DelandeOct 27, 1995
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Exact solutions in the FPU oscillator chain
After a brief comprehensive review of old and new results on the well known Fermi-Pasta-Ulam (FPU) conservative system of N nonlinearly coupled oscillators, we present a compact linear mode…
P. Poggi, S. RuffoOct 27, 1995
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