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Chaotic Dynamics papers — page 42

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Semiclassical spectra from periodic-orbit clusters in a mixed phase space
We determine semiclassical quasienergy spectra from periodic orbits for a system with a mixed phase space, the kicked top. Throughout the transition from integrability to well developed chaos the…
Henning Schomerus, Fritz HaakeMar 25, 1997
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Langevin approach to generate synthetic turbulence
We present an analytical scheme, easily implemented numerically, to generate synthetic Gaussian turbulent flows by using a linear Langevin equation, where the noise term acts as a stochastic stirring…
A. C. Marti, J. M. Sancho, F. Sagues et al.Mar 25, 1997
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A Geometric, Dynamical Approach to Thermodynamics
We present a geometric and dynamical approach to the micro-canonical ensemble of classical Hamiltonian systems. We generalize the arguments in Rugh and show that the energy-derivative of a…
Hans Henrik RughMar 21, 1997
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Berry's conjecture and information theory
It is shown that, by applying a principle of information theory, one obtains Berry's conjecture regarding the high-lying quantal energy eigenstates of classically chaotic systems.
C. JarzynskiMar 21, 1997
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Quantum chaotic attractor in a dissipative system
A dissipative quantum system is treated here by coupling it with a heat bath of harmonic oscillators. Through quantum Langevin equations and Ehrenfest's theorem, we establish explicitly the…
W. Vincent Liu, William C. SchieveMar 21, 1997
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Singularities of Transition Processes in Dynamical Systems: Qualitative Theory of Critical Delays
The paper gives a systematic analysis of singularities of transition processes in dynamical systems. General dynamical systems with dependence on parameter are studied. A system of relaxation times…
A. N. GorbanMar 19, 1997
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The Breakup Condition of Shearless KAM Curves in the Quadratic Map
We determined the exact location of the shearless KAM curve in the quadratic map and numerically investigate the breakup thresholds of those curves in the entire parameter space. The breakup diagram…
Susumu Shinohara, Yoji AizawaMar 19, 1997
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Scaling and Correlation Functions in a Model of a Two-dimensional Earthquake Fault
We study numerically a two-dimensional version of the Burrige-Knopoff model. We calculate spatial and temporal correlation functions and compare their behavior with the results found for the…
Thordur Jonsson, Sigurdur Freyr MarinossonMar 18, 1997
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Intruder States and their Local Effect on Spectral Statistics
The effect on spectral statistics and on the revival probability of intruder states in a random background is analysed numerically and with perturbative methods. For random coupling the intruder does…
J. Flores, H. Hernandez-Saldaña, F. Leyvraz et al.Mar 17, 1997
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Fluctuation patterns and conditional reversibility in nonequilibrium systems
Fluctuations of observables as functions of time, or "fluctuation patterns", are studied in a chaotic microscopically reversible system that has irreversibly reached a nonequilibrium…
G. GallavottiMar 16, 1997
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Supersymmetric quantum mechanics based on higher excited states II: a few examples of isospectral partner potentials
We apply the generalized formalism and the techniques of the supersymmetric (susy) quantum mechanics to the cases where the superpotential is generated/defined by higher excited eigenstates (Robnik…
Marko Robnik, Junxian LiuMar 14, 1997
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Boundary contributions to the semiclassical traces of the baker's map
We evaluate the leading asymptotic contributions to the traces of the quantum baker's map propagator. Besides the usual Gutzwiller periodic orbit contribution, we identify boundary paths giving…
F. Toscano, R. O. Vallejos, M. SaracenoMar 5, 1997
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Testing the Markov condition in ion channel recordings
A statistical test is presented to decide whether data are adequately described by probabilistic functions of finite state Markov chains (''hidden Markov models'') as applied in the…
J. Timmer, S. KleinMar 4, 1997
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Semiclassical interference of bifurcations
In semiclassical studies of systems with mixed phase space, the neighbourhood of bifurcations of co-dimension two is felt strongly even though such bifurcations are ungeneric in classical mechanics.…
Henning SchomerusMar 3, 1997
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Correlations between resonances in a statistical scattering model
The distortion of the regular motion in a quantum system by its coupling to the continuum of decay channels is investigated. The regular motion is described by means of a Poissonian ensemble. We…
T. Gorin, F. --M. Dittes, M. Müller et al.Feb 28, 1997
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Scattering matrices with block symmetries
Scattering matrices with block symmetry, which corresponds to scattering process on cavities with geometrical symmetry, are analyzed. The distribution of transmission coefficient is computed for…
Karol ŻyczkowskiFeb 28, 1997
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Integrals of motion and the shape of the attractor for the Lorenz model
In this paper, we consider three-dimensional dynamical systems, as for example the Lorenz model. For these systems, we introduce a method for obtaining families of two-dimensional surfaces such that…
Hector Giacomini, Sebastien NeukirchFeb 25, 1997
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Spatially Periodic Orbits in Coupled Sine Circle Maps
We study spatially periodic orbits for a coupled map lattice of sine circle maps with nearest neighbour coupling and periodic boundary conditions. The stability analysis for an arbitrary spatial…
Nandini Chatterjee, Neelima GupteFeb 23, 1997
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Structures and intermittency in a passive scalar model
A one-dimensional white-in-time passive scalar model is introduced. Strong and persistent structures are shown to be present. A perturbative expansion for the scaling exponents is performed around a…
M. Vergassola, A. MazzinoFeb 20, 1997
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Classical and quantum decay of one dimensional finite wells with oscillating walls
To study the time decay laws (tdl) of quasibounded hamiltonian systems we have considered two finite potential wells with oscillating walls filled by non interacting particles. We show that the tdl…
A. J. Fendrik, D. A. WisniackiFeb 18, 1997
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How long does the quantum chaos last?
The main purpose of this Comment is to point out that besides the short time scale of quantum chaos, confirmed once more in recent paper by Alicki et al, there is generally another time scale tR,…
Gulio Casati, B. V. Chirikov, O. V. ZhirovFeb 18, 1997
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Geometry of dynamics, Lyapunov exponents and phase transitions
The Hamiltonian dynamics of classical planar Heisenberg model is numerically investigated in two and three dimensions. By considering the dynamics as a geodesic flow on a suitable Riemannian…
Lando Caiani, Lapo Casetti, Cecilia Clementi et al.Feb 17, 1997
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Scale Dependence of Intermittency Exponents in Developed Hydrodynamic Turbulence
The scale dependent intermittency exponents in developed hydrodynamic turbulence are calculated assuming a natural hierarchy of correlations in the turbulence. The major correlations are taken into…
V. M. MalkinFeb 16, 1997
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Spectral Properties of Three-Dimensional Quantum Billiards with a Pointlike Scatterer
We examine the spectral properties of three-dimensional quantum billiards with a single pointlike scatterer inside. It is found that the spectrum shows chaotic (random-matrix-like) characteristics…
T. Shigehara, Taksu CheonFeb 14, 1997
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Universal spectral properties of spatially periodic quantum systems with chaotic classical dynamics
We consider a quasi one-dimensional chain of N chaotic scattering elements with periodic boundary conditions. The classical dynamics of this system is dominated by diffusion. The quantum theory, on…
T. Dittrich, B. Mehlig, H. Schanz et al.Feb 12, 1997
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