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Chaotic Dynamics papers — page 5

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Finite thermal conductivity in 1d lattices
We discuss the thermal conductivity of a chain of coupled rotators, showing that it is the first example of a 1d nonlinear lattice exhibiting normal transport properties in the absence of an on-site…
C. Giardina', R. Livi, A. Politi et al.Oct 17, 1999
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Regular Tunnelling Sequences in Mixed Systems
We show that the pattern of tunnelling rates can display a vivid and regular pattern when the classical dynamics is of mixed chaotic/regular type. We consider the situation in which the dominant…
Stephen C. Creagh, Niall D. WhelanOct 14, 1999
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A Stochastic Approach to the Construction of One-Dimensional Chaotic Maps with Prescribed Statistical Properties
We use a recently found parametrization of the solutions of the inverse Frobenius-Perron problem within the class of complete unimodal maps to develop a Monte-Carlo approach for the construction of…
F. K. Diakonos, D. Pingel, P. SchmelcherOct 14, 1999
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Topology of Central Pattern Generators: Selection by Chaotic Neurons
Central Pattern Generators (CPGs) in invertebrates are comprised of networks of neurons in which every neuron has reciprocal connections to other members of the CPG. This is a ``closed''…
R. Huerta, P. Varona, M. I. Rabinovich et al.Oct 13, 1999
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Response Function of an Irregular Oscillator
Properties of the response functions for a two-dimensional quartic oscillator are studied based on the diagonalization of the Hamiltonian in a large model space. In particular, response functions…
Hirokazu Aiba, Toru SuzukiOct 12, 1999
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Decaying magnetohydrodynamics: effects of initial conditions
We study the effects of homogenous and isotropic initial conditions on decaying Magnetohydrodynamics (MHD). We show that for an initial distribution of velocity and magnetic field fluctuations,…
Abhik BasuOct 11, 1999
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The Quantum-Classical Crossover in the Adiabatic Response of Chaotic Systems
The autocorrelation function of the force acting on a slow classical system, resulting from interaction with a fast quantum system is calculated following Berry-Robbins and Jarzynski within the…
Ophir M. Auslaender, Shmuel FishmanOct 10, 1999
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Bulk Properties of Anharmonic Chains in Strong Thermal Gradients: Non-Equilibrium ϕ4 Theory
We study nonequilibrium properties of a one-dimensional lattice Hamiltonian with quartic interactions in strong thermal gradients. Nonequilibrium temperature profiles, T(x), are found to develop…
Kenichiro Aoki, Dimitri KusnezovOct 9, 1999
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Exponential mixing and log h time scales in quantized hyperbolic maps on the torus
We study the behaviour, in the simultaneous limits going to 0, t going to ∞, of the Husimi and Wigner distributions of initial coherent states and position eigenstates, evolved under the…
F. Bonechi, S. De BievreOct 8, 1999
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Cascades in helical turbulence
The existence of a second quadratic inviscid invariant, the helicity, in a turbulent flow leads to coexisting cascades of energy and helicity. An equivalent of the four-fifth law for the longitudinal…
P. D. Ditlevsen, P. GiulianiOct 8, 1999
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Quantized Orbits and Resonant Transport
A tight binding representation of the kicked Harper model is used to obtain an integrable semiclassical Hamiltonian consisting of degenerate "quantized" orbits. New orbits appear when…
Indubala I. Satija, Bala SundaramOct 8, 1999
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Signatures of quantum chaos in nodal points and streamlines in electron transport through billiards
Streamlines and distributions of nodal points are used as signatures of chaos in coherent electron transport through three types of billiards, Sinai, Bunimovich and rectangular. Numerical averaged…
Karl-Fredrik Berggren, Konstantin N. Pichugin, Almas F. Sadreev et al.Oct 8, 1999
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Heteroclinic orbits and transport in a perturbed integrable Suris map
Explicit formulae are given for the saddle connection of an integrable family of standard maps studied by Y. Suris. When the map is perturbed this connection is destroyed, and we use a discrete…
H. E. Lomeli, J. D. MeissOct 7, 1999
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Dissipative Chaotic Quantum Maps: Expectation Values, Correlation Functions and the Invariant State
I investigate the propagator of the Wigner function for a dissipative chaotic quantum map. I show that a small amount of dissipation reduces the propagator of sufficiently smooth Wigner functions to…
Daniel BraunOct 7, 1999
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Correlations in the Adiabatic Response of Chaotic Systems
Adiabatic variation of the parameters of a chaotic system results in a fluctuating reaction force. In the leading order in the adiabaticity parameter, a dissipative force, that is present in…
Ophir M. Auslaender, Shmuel FishmanOct 6, 1999
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Geometrical theory of diffraction and spectral statistics
We investigate the influence of diffraction on the statistics of energy levels in quantum systems with a chaotic classical limit. By applying the geometrical theory of diffraction we show that…
Martin SieberOct 6, 1999
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The Finite-Difference Analysis and Time Flow
The paper introduces a one dimensional analogy of Poincare's "section" method. Its application to numerical study of sequences of fractional parts is considered. As a result, the…
Ashot Yu. ShahverdianOct 6, 1999
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The existence of Burnett coefficients in the periodic Lorentz gas
The linear super-Burnett coefficient gives corrections to the diffusion equation in the form of higher derivatives of the density. Like the diffusion coefficient, it can be expressed in terms of…
N. I. Chernov, C. P. DettmannOct 5, 1999
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Noncommutative Martin-Lof randomness : on the concept of a random sequence of qubits
Martin-Lof's definition of random sequences of cbits as those not belonging to any set of constructive zero Lebesgue measure is reformulated in the language of Algebraic Probability Theory. The…
Gavriel SegreOct 5, 1999
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Kicked Burgers Turbulence
Burgers turbulence subject to a force f(x,t)=Σjfj(x)δ(t-tj), where the tj's are ``kicking times'' and the ``impulses'' fj(x) have arbitrary space dependence,…
J. Bec, U. Frisch, K. KhaninOct 4, 1999
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Dissipative Quasigeostrophic Motion under Temporally Almost Periodic Forcing
The full nonlinear dissipative quasigeostrophic model is shown to have a unique temporally almost periodic solution when the wind forcing is temporally almost periodic under suitable constraints on…
Jinqiao Duan, Peter E. KloedenOct 3, 1999
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Chaotic Properties of Subshifts Generated by a Non-Periodic Recurrent Orbit
The chaotic properties of some subshift maps are investigated. These subshifts are the orbit closures of certain non-periodic recurrent points of a shift map. We first provide a review of basic…
Xin-Chu Fu, Yibin Fu, Jinqiao Duan et al.Oct 3, 1999
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Escape Probability and Mean Residence Time in Random Flows with Unsteady Drift
We investigate fluid transport in random velocity fields with unsteady drift. First, we propose to quantify fluid transport between flow regimes of different characteristic motion, by escape…
Jinqiao Duan, James Brannan, Vincent ErvinOct 3, 1999
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Geometrical properties of Maslov indices in periodic-orbit theory
Maslov indices in periodic-orbit theory are investigated using phase space path integral. Based on the observation that the Maslov index is the multi-valued function of the monodromy matrix, we…
Ayumu SugitaSep 30, 1999
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The Statistics of Chaotic Tunnelling
We discuss the statistics of tunnelling rates in the presence of chaotic classical dynamics. This applies to resonance widths in chaotic metastable wells and to tunnelling splittings in chaotic…
Stephen C. Creagh, Niall D. WhelanSep 30, 1999
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