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Chaotic Dynamics papers — page 8

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Thermostating by deterministic scattering: the periodic Lorentz gas
We present a novel mechanism for thermalizing a system of particles in equilibrium and nonequilibrium situations, based on specifically modeling energy transfer at the boundaries via a microscopic…
K. Rateitschak, R. Klages, G. NicolisAug 6, 1999
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Stationary determinism in Observed Time Series: the earth's surface temperature
In this work we address the feasibility of estimating and isolating the stationary and deterministic content of observational time series, Ots, which in general have very limited…
Rafael M. GutierrezAug 6, 1999
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A Trace Formula for Products of Diagonal Matrix Elements in Chaotic Systems
We derive a trace formula for Σn AnnBnn...δ(E-En), where Ann is the diagonal matrix element of the operator A in the energy basis of a chaotic system. The result takes the form of…
Sanjay Hortikar, Mark SrednickiAug 5, 1999
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Evolution of the vorticity-area density during the formation of coherent structures in two-dimensional flows
It is shown: 1) that in two-dimensional, incompressible, viscous flows the vorticity-area distribution evolves according to an advection-diffusion equation with a negative, time dependent diffusion…
H. W. Capel, R. A. PasmanterAug 4, 1999
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Chaotic advection and relative dispersion in a convective flow
Lagrangian chaos is experimentally investigated in a convective flow by means of Particle Tracking Velocimetry. The Finite Size Lyapunov Exponent analysis is applied to quantify dispersion properties…
G. Boffetta, M. Cencini, S. Espa et al.Aug 2, 1999
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Dynamics of a Limit Cycle Oscillator under Time Delayed Linear and Nonlinear Feedbacks
We study the effects of time delayed linear and nonlinear feedbacks on the dynamics of a single Hopf bifurcation oscillator. Our numerical and analytic investigations reveal a host of complex…
D. V. Ramana Reddy, A. Sen, G. L. JohnstonAug 1, 1999
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Dynamics of Finger Formation in Laplacian Growth without Surface Tension
We study the dynamics of "finger" formation in Laplacian growth without surface tension in a channel geometry (the Saffman-Taylor problem). Carefully determining the role of boundary…
Mitchell J. Feigenbaum, Itamar Procaccia, Benny DavidovichAug 1, 1999
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Free Decay of Turbulence and Breakdown of Self-Similarity
It has been generally assumed, since the work of von Karman and Howarth in 1938, that free decay of fully-developed turbulence is self-similar. We present here a simple phenomenological model of the…
Gregory L. Eyink, David J. ThomsonJul 30, 1999
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Estimation of Lyapunov spectra from space-time data
A method to estimate Lyapunov spectra from spatio-temporal data is presented, which is well-suited to be applied to experimental situations. It allows to characterize the high-dimensional chaotic…
Martin J. Bünner, R. HeggerJul 30, 1999
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Synchronisation of time--delay systems
We present the linear-stability analysis of synchronised states in coupled time-delay systems. There exists a synchronisation threshold, for which we derive upper bounds, which does not depend on the…
Martin J. Bünner, Wolfram JustJul 30, 1999
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Some results on the Navier-Stokes equations in thin 3D domains
We consider the Navier-Stokes equations on thin 3D domains, supplemented mainly with purely periodic boundary conditions or with periodic boundary conditions in the thin direction and homogeneous…
Dragos Iftimie, Genevieve RaugelJul 30, 1999
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Fractional Langevin equation to describe anomalous diffusion
A Langevin equation with a special type of additive random source is considered. This random force presents a fractional order derivative of white noise, and leads to a power-law time behavior of the…
V. Kobelev, E. RomanovJul 30, 1999
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Topological fluid mechanics of point vortex motions
Topological techniques are used to study the motions of systems of point vortices in the infinite plane, in singly-periodic arrays, and in doubly-periodic lattices. The reduction of each system using…
Philip Boyland, Mark Stremler, Hassan ArefJul 29, 1999
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Order and chaos in galactic maps
We investigate the properties of motion in a map model derived from a galactic Hamiltonian made up of perturbed elliptic oscillators. The phase space portrait is obtained in all three different cases…
N. D. Caranicolas, Ch. L. VozikisJul 27, 1999
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Imperfect fractal repellers and irregular families of periodic orbits in a 3-D model potential
A model, plane symmetric, 3-D potential, which preserves some features of galactic problems,is used in order to examine the phase space structure through the study of the properties of orbits…
B. Barbanis, H. Varvoglis, Ch. L. VozikisJul 27, 1999
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Quantum Localization near Bifurcations in Classically Chaotic Systems
We show that strongly localized wave functions occur around classical bifurcations. Near a saddle node bifurcation the scaling of the inverse participation ratio on Planck's constant and the…
I. Varga, P. Pollner, B. EckhardtJul 27, 1999
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On geometric properties of passive random advection
We study geometric properties of a random Gaussian short-time correlated velocity field by considering statistics of a passively advected metric tensor. That describes universal properties of…
S. Boldyrev, A. SchekochihinJul 27, 1999
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Quantum Resonances of Kicked Rotor and SU(q) group
The quantum kicked rotor (QKR) map is embedded into a continuous unitary transformation generated by a time-independent quasi-Hamiltonian. In some vicinity of a quantum resonance of order q, we…
V. V. Sokolov, O. V. Zhirov, D. Alonso et al.Jul 26, 1999
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A model of dispersion in the unsteady separated shear flow past complex geometries
Separated flows past complex geometries are modelled by discrete vortex techniques. The flows are assumed to be rotational and inviscid, and a new technique is described to determine the…
P. Franzese, L. ZannettiJul 23, 1999
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Entropy Production and Heat Generation in Computational Processes
To make clear several issues relating with the thermodynamics of computations, we perform a simulation of a binary device using a Langevin equation. Based on our numerical results, we consider how to…
Nobuko Fuchikami, Hijiri Iwata, Shunya IshiokaJul 22, 1999
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Non-universality of chaotic classical dynamics: implications for quantum chaos
It might be anticipated that there is statistical universality in the long-time classical dynamics of chaotic systems, corresponding to the universal correspondence of their quantum spectral…
M. Wilkinson, B. MehligJul 22, 1999
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From template analysis to generating partitions II: Characterization of the symbolic encodings
We give numerical evidence of the validity of a previously described algorithm for constructing symbolic encodings of chaotic attractors from a template analysis. We verify that the different…
Jerome Plumecoq, Marc LefrancJul 22, 1999
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From template analysis to generating partitions I: Periodic orbits, knots and symbolic encodings
We present a detailed algorithm to construct symbolic encodings for chaotic attractors of three-dimensional flows. It is based on a topological analysis of unstable periodic orbits embedded in the…
Jerome Plumecoq, Marc LefrancJul 22, 1999
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Comment on "The dead zone for string players"
Short comment for a recent paper, suggesting for some directions related to previous studies in chaotic dynamics.
TING, Juhi-Lian JulianJul 22, 1999
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Inhomogeneous turbulence in the vicinity of a large scale coherent vortex
We study the statistics of turbulent velocity fluctuations in the neighbourhood of a strong large scale vortex at very large Reynolds number. At each distance from the vortex core, we observe that…
C. Simand, F. Chilla, J. -F. PintonJul 21, 1999
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