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Chaotic Dynamics papers — page 29

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Semiclassics for a Dissipative Quantum Map
We present a semiclassical analysis for a dissipative quantum map with an area-nonpreserving classical limit. We show that in the limit of Planck's constant to 0 the trace of an arbitrary natural…
Daniel Braun, Petr A. Braun, Fritz HaakeApr 3, 1998
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In-out intermittency in PDE and ODE models of axisymmetric mean-field dynamos
Employing some recent results in dynamics of systems with invariant subspaces we find evidence in both truncated and full axisymmetric mean-field dynamo models of a recently discovered type of…
Eurico Covas, Reza Tavakol, Peter Ashwin et al.Apr 3, 1998
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Entropy computing via integration over fractal measures
We discuss the properties of invariant measures corresponding to iterated function systems (IFSs) with place-dependent probabilities and compute their Renyi entropies, generalized dimensions, and…
Wojciech Slomczynski, Jaroslaw Kwapien, Karol ZyczkowskiApr 2, 1998
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Use of synchronization and adaptive control in parameter estimation from a time series
A technique is introduced for estimating unknown parameters when time series of only one variable from a multivariate nonlinear dynamical system is given. The technique employs a combination of two…
Anil Maybhate, R. E. AmritkarMar 31, 1998
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Helicity advection in Turbulent Models
Helicity transfer in a shell model of turbulence is investigated. In particular, we study the scaling behavior of helicity transfer in a dynamical model of turbulence lacking inversion symmetry. We…
L. Biferale, D. Pierotti, F. ToschiMar 30, 1998
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Resonant enhanced diffusion in time dependent flow
Explicit examples of scalar enhanced diffusion due to resonances between different transport mechanisms are presented. Their signature is provided by the sharp and narrow peaks observed in the…
P. Castiglione, A. Crisanti, A. Mazzino et al.Mar 27, 1998
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Statistical Distance For Chaotic Maps
The purpose of this letter is to define a distance on the underlying phase space of a chaotic map, based on natural invariant density of the map. It is observed that for logistic map this distance is…
Ramandeep S. JohalMar 27, 1998
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Non-Equilibrium Statistical Mechanics of Anharmonic Chains Coupled to Two Heat Baths at Different Temperatures
We study the statistical mechanics of a finite-dimensional non-linear Hamiltonian system (a chain of anharmonic oscillators) coupled to two heat baths (described by wave equations). Assuming that the…
Jean-Pierre Eckmann, Claude-Alain Pillet, Luc Rey-BelletMar 27, 1998
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Intermittency of Passive Advection
The paper reviews some of the recent progress in the understanding of anomalous scaling and intermittency in a simple hydrodynamical model. It is directed to a non-specialized audience.
Krzysztof GawedzkiMar 27, 1998
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Squeezed state dynamics of kicked quantum systems
We study kicked quantum systems by using the squeezed state approach. Taking the kicked quantum harmonic oscillator as an example, we demonstrate that chaos in an underlying classical system can be…
Bambi Hu, Baowen Li, Jie Liu et al.Mar 26, 1998
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Intermittency, synthetic turbulence and wavelet structure functions
Some techniques for the study of intermittency by means of wavelet transforms, are presented on an example of synthetic turbulent signal. Several features of the turbulent field, that cannot be…
Piero Olla, Paolo ParadisiMar 26, 1998
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Burgers Turbulence with Large-scale Forcing
Burgers turbulence supported by white-in-time random forcing at low wavenumbers is studied analytically and by computer simulation. It is concluded that the probability density Q of velocity gradient…
Toshiyuki Gotoh, Robert H. KraichnanMar 26, 1998
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Coherent solitary-wave of mixing layer turbulence in the physical-plus-eddy space
A six-dimensional Navier-Stokes equation derived by one of the authors(ST) is solved for a turbulent mixing layer to demonstrate that it has a solitary wave solution. Turbulence intensities and…
Shunichi Tsuge, Burtsitsig BaiMar 26, 1998
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Bursts and Shocks in a Continuum Shell Model
We study a "burst" event, i. e. the evolution of an initial condition having support only in a finite interval of k-space, in the continuum shell model due to Parisi. We show that the…
K. H. Andersen, T. Bohr, M. H. Jensen et al.Mar 26, 1998
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Turbulence and Bifurcation in the Motion of an Hydrocyclone
The hydrocyclone is a tool used in different fields but mostly in mining industries to separate minerals. The minerals are put in a liquid or in a stable suspension of a chosen density which must be…
Maria Morandi Cecchi, Luca SalasnichMar 25, 1998
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A Diffusion Equation for Quantum Adiabatic Systems
For ergodic adiabatic quantum systems, we study the evolution of energy distribution as the system evolves in time. Starting from the von Neumann equation for the density operator, we obtain the…
Sudhir R. JainMar 25, 1998
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Deterministic SR in a Piecewise Linear Chaotic Map
The phenomenon of Stochastic Resonance (SR) is observed in a completely deterministic setting - with thermal noise being replaced by one-dimensional chaos. The piecewise linear map investigated in…
Sitabhra Sinha, Bikas K. ChakrabartiMar 24, 1998
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Probing Physics of Magnetohydrodynamic Turbulence Using Direct Numerical Simulation
The energy spectrum and the nolinear cascade rates of MHD turbulence is not clearly understood. We have addressed this problem using direct numerical simulation and analytical calculations. Our…
Mahendra K. Verma, Gaurav DarMar 21, 1998
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Bogomolny's semiclassical transfer operator for rotationally invariant integrable systems
The transfer operator due to Bogomolny provides a convenient method for obtaining a semiclassical approximation to the energy eigenvalues of a quantum system, no matter what the nature of the…
D. A. Goodings, N. D. WhelanMar 19, 1998
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Relative dispersion in fully developed turbulence: from Eulerian to Lagrangian statistics in synthetic flows
The effect of Eulerian intermittency on the Lagrangian statistics of relative dispersion in fully developed turbulence is investigated. A scaling range spanning many decades is achieved by generating…
G. Boffetta, A. Celani, A. Crisanti et al.Mar 19, 1998
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Statistics of Dissipation and Enstrophy Induced by a Set of Burgers Vortices
Dissipation and enstropy statistics are calculated for an ensemble of modified Burgers vortices in equilibrium under uniform straining. Different best-fit, finite-range scaling exponents are found…
Guowei He, Shiyi Chen, Robert. H. Kraichnan et al.Mar 19, 1998
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Chaos, Order Statistics and Unstable Periodic Orbits
We present a new method for locating unstable periodic points of one dimensional chaotic maps. This method is based on order statistics. The densities of various maxima of the iterates are…
M. C. Valsakumar, S. V. M. Satyanarayana, S. KanmaniMar 19, 1998
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Analytic estimation of Lyapunov exponent in a mean-field model undergoing a phase transition
The parametric instability contribution to the largest Lyapunov exponent (LLE) is derived for a mean-field Hamiltonian model, with attractive long-range interactions. This uses a recent Riemannian…
M. C. FirpoMar 19, 1998
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Chaos-Assisted Light Squeezing
We investigate theoretically the dynamics of squeezed state generation in the nonlinear systems possessing the transition from regular to chaotic dynamics in the limit of a large number of photons.…
Kirill N. Alekseev, Jan PerinaMar 18, 1998
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An optimal shell model of turbulence
We introduce a new shell model of turbulence which exhibits improved properties in comparison to the standard (and very popular) GOY model. The nonlinear coupling is chosen to minimize correlations…
Victor S. L'vov, Evgenii Podivilov, Anna Pomyalov et al.Mar 18, 1998
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