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Chaotic Dynamics papers — page 16

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Noise-correlation-time-mediated localization in random nonlinear dynamical systems
We investigate the behavior of the residence times density function for different nonlinear dynamical systems with limit cycle behavior and perturbed parametrically with a colored noise. We present…
Juan L. Cabrera, J. Gorro~nogoitia, F. J. de la RubiaMar 10, 1999
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Transport in finite size systems: an exit time approach
In the framework of chaotic scattering we analyze passive tracer transport in finite systems. In particular, we study models with open streamlines and a finite number of recirculation zones. In the…
P. Castiglione, M. Cencini, A. Vulpiani et al.Mar 9, 1999
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Disentangling Scaling Properties in Anisotropic and Inhomogeneous Turbulence
We address scaling in inhomogeneous and anisotropic turbulent flows by decomposing structure functions into their irreducible representation of the SO(3) symmetry group which are designated by j,m…
I. Arad, L. Biferale, I. Mazzitelli et al.Mar 9, 1999
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Defect-freezing and Defect-unbinding in the Vector Complex Ginzburg-Landau Equation
We describe the dynamical behavior found in numerical solutions of the Vector Complex Ginzburg-Landau equation in parameter values where plane waves are stable. Topological defects in the system are…
Miguel Hoyuelos, Emilio Hernandez-Garcia, Pere Colet et al.Mar 8, 1999
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Past events never come back
Time can be defined as the duration between events. It is irreversible. When used as a variable in quantifying the changing properties of matter, this irreversibility of time is incompatible with…
X. de HemptinneMar 8, 1999
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Improvement of SNR with Chaotic Spreading Sequences for CDMA
We show that chaotic spreading sequences generated by ergodic mappings of Chebyshev orthogonal polynomials have better correlation properties for CDMA(code division multiple access) than the optimal…
Ken Umeno, Ken-ichi KitayamaMar 8, 1999
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Chaotic Dynamics in Iterated Map Neural Networks with Piecewise Linear Activation Function
The paper examines the discrete-time dynamics of neuron models (of excitatory and inhibitory types) with piecewise linear activation functions, which are connected in a network. The properties of a…
Sitabhra SinhaMar 6, 1999
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A hypothesis concerning "quantal" Hilbert space criterion of chaos in nonlinear dynamical systems
Based on the Hilbert space approach to the theory of nonlinear dynamical systems developed by the author a hypothesis is formulated concerning the "quantal" criterion for classical ordinary…
Krzysztof KowalskiMar 6, 1999
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Spectral reduction: a statistical description of turbulence
A method is described for predicting statistical properties of turbulence. Collections of Fourier amplitudes are represented by nonuniformly spaced modes with enhanced coupling coefficients. The…
John C. Bowman, B. A. Shadwick, P. J. MorrisonMar 5, 1999
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Statistical Theory of Energy Transfer to Small and Chaotic Quantum Systems Induced by a Slowly-Varying External Field
We study nonequilibrium properties of small and chaotic quantum systems, i.e., non-integrable systems whose size is small in the sense that the separations of energy levels are non-negligible as…
Yasuhiro Higashiyama, Akira ShimizuMar 4, 1999
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Quantum chaos of a kicked particle in a 1D infinite square potential well
We study quantum chaos in a non-KAM system, i.e. a kicked particle in a one-dimensional infinite square potential well. Within the perturbative regime the classical phase space displays stochastic…
Baowen Li, Jie Liu, Yan Gu et al.Mar 3, 1999
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Energy Absorption and Storage in a Hamiltonian System in Partial Contact with a Heat Bath
To understand the mechanism allowing for long-term storage of excess energy in proteins, we study a Hamiltonian system consisting of several coupled pendula in partial contact with a heat bath. It is…
Naoko Nakagawa, Kunihiko KanekoMar 2, 1999
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Vibrating soap films: An analog for quantum chaos on billiards
We present an experimental setup based on the normal modes of vibrating soap films which shows quantum features of integrable and chaotic billiards. In particular, we obtain the so-called scars…
E. Arcos, G. Baez, P. A. Cuatlayol et al.Mar 2, 1999
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Chaotic Monte Carlo computation: a dynamical effect of random-number generations
It is shown that superefficient Monte Carlo computations can be carried out by using chaotic dynamical systems as non-uniform random-number generators. Here superefficiency means that the expectation…
Ken UmenoMar 2, 1999
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A semiclassical theory of dissipative Henon-Heiles system
A semiclassical theory of dissipative Henon-Heiles system is proposed. Based on -scaling of an equation for evolution of Wigner quasiprobability distribution function in presence of…
Bidhan Chandra Bag, Deb Shankar RayFeb 27, 1999
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Periodic Orbit Quantization of Mixed Regular Chaotic Systems
A general technique for the periodic orbit quantization of systems with near-integrable to mixed regular-chaotic dynamics is introduced. A small set of periodic orbits is sufficient for the…
J. Main, G. WunnerFeb 27, 1999
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A unifying definition of synchronization for dynamical systems
We propose a unified definition for synchronization. By example we show that the synchronization phenomena discussed in the dynamical systems literature can be described within the framework of this…
Reggie Brown, Ljupco KocarevFeb 27, 1999
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Spatiotemporal Chaos, Localized Structures and Synchronization in the Vector Complex Ginzburg-Landau Equation
We study the spatiotemporal dynamics, in one and two spatial dimensions, of two complex fields which are the two components of a vector field satisfying a vector form of the complex Ginzburg-Landau…
Emilio Hernandez-Garcia, Miguel Hoyuelos, Pere Colet et al.Feb 24, 1999
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Trace Formulas and Bogomolny's Transfer Operator
The trace formulas commonly used in discussing spectral properties of quantum or wave systems are derived simply and directly from the Bogomolny transfer operator. Special cases are the Gutzwiller…
Oleg Zaitsev, R. Narevich, R. E. PrangeFeb 23, 1999
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Comment on "Entropy Generation in Computation and the Second law of Thermodynamics", by S. Ishioka and N. Fuchikami
This brief note argues that, contrary to the claim of Ishioka and Fuchikami (chao-dyn/9902012), Landauer's principle is concerned a priori with entropy generation in computing processes. The…
Hugo TouchetteFeb 19, 1999
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Localization and Fluctuations in Quantum Kicked Rotors
We address the issue of fluctuations, about an exponential lineshape, in a pair of one-dimensional kicked quantum systems exhibiting dynamical localization. An exact renormalization scheme…
Indubala I. Satija, Bala Sundaram, Jukka A. KetojaFeb 18, 1999
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Direct Numerical Simulations of the Navier-Stokes Alpha Model
We explore the utility of the recently proposed alpha equations in providing a subgrid model for fluid turbulence. Our principal results are comparisons of direct numerical simulations of fluid…
Shiyi Chen, Darryl D. Holm, Len G. Margolin et al.Feb 18, 1999
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Entropy Generation in Computation and the Second Law of Thermodynamics
Landauer discussed the minimum energy necessary for computation and stated that erasure of information is accompanied by heat generation to the amount of kT ln2/bit. Modifying the above statement, we…
Shunya Ishioka, Nobuko FuchikamiFeb 17, 1999
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Renormalization group method and canonical perturbation theory
Renormalization group method is one of the most powerful tool to obtain approximate solutions to differential equations. We apply the renormalization group method to Hamiltonian systems whose…
Yoshiyuki Y. Yamaguchi, Yasusada NambuFeb 16, 1999
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Passive scalar intermittency in compressible flow
A compressible generalization of the Kraichnan model (Phys. Rev. Lett. 72, 1016 (1994)) of passive scalar advection is considered. The dynamical role of compressibility on the intermittency of the…
A. Celani, A. Lanotte, A. MazzinoFeb 12, 1999
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