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Chaotic Dynamics papers — page 40

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Anomalies of Transport in Reflectionally Noninvariant Turbulence
We consider the transport of passive admixture in locally homogeneous isotropic reflectionally noninvariant turbulence of incompressible fluid. It is shown that anomalous convective flow appears…
A. V. Chechkin, A. V. Tur, V. V. YanovskyJun 6, 1997
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Resonant Collisions in Four Dimensional Reversible Maps: A Description of Scenarios
We define a resonant collision of order k(geq 1) in a family of four-dimensional reversible maps. For any specified k, the bifurcation secnario is the collection of the different possible types of…
A. Lahiri, A. Bhowal, T. K. RoyJun 6, 1997
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A KAM type theorem for systems with round-off errors
Perturbations due to round-off errors in computer modeling are discontinuous and therefore one cannot use results like KAM theory about smooth perturbations of twist maps. We elaborate a special…
M. Blank, T. Kruger, L. Pustyl'nikovJun 4, 1997
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Entropy potential and Lyapunov exponents
According to a previous conjecture, spatial and temporal Lyapunov exponents of chaotic extended systems can be obtained from derivatives of a suitable function: the entropy potential. The validity…
Stefano Lepri, Antonio Politi, Alessandro TorciniJun 3, 1997
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Structure and convergence of Poincare-like normal forms
The general term of the Poincare normalizing series is explicitly constructed for non-resonant systems of ODE's in a large class of equations. In the resonant case, a non-local transformation is…
S. Louies, L. BrenigJun 3, 1997
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Diffusion Process in a Flow
We establish circumstances under which the dispersion of passive contaminants in a forced, deterministic or random, flow can be consistently interpreted as a Markovian diffusion process. In case of…
P. GarbaczewskiJun 2, 1997
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Quadratic Volume Preserving Maps
We study quadratic, volume preserving diffeomorphisms whose inverse is also quadratic. Such maps generalize the Henon area preserving map and the family of symplectic quadratic maps studied by Moser.…
H. E. Lomeli, J. D. MeissMay 30, 1997
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Communication with Chaos over Band-Limited Channels
Methods of communications using chaotic signals use an ability of a chaos generator (encoder) and matched response system (decoder) to behave identically despite the instability of chaotic…
Nikolai F. Rulkov, Lev S. TsimringMay 28, 1997
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Ultrametric structure of multiscale energy correlations in turbulent models
Ultrametric structure of the energy cascade process in a dynamical model of turbulence is studied. The tree model we use can be viewed as an approximated one-dimensional truncation of the wavelets…
R. Benzi, L. Biferale, E. TrovatoreMay 23, 1997
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Exact Result for the 3rd Order Correlations of Velocity in Turbulence with Helicity
All statistical models of turbulence take into account Kolmogorov's exact result known as the "4/5 law" which stems from energy conservation. This law states that the energy flux…
Victor S. L'vov, Evgenii Podivilov, Itamar ProcacciaMay 22, 1997
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Active control of ionized boundary layers
The challenging problems, in the field of control of chaos or of transition to chaos, lie in the domain of infinite-dimensional systems. Access to all variables being impossible in this case and the…
R. Vilela MendesMay 22, 1997
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Quantum mechanical time-delay matrix in chaotic scattering
We calculate the probability distribution of the matrix Q = -i S-1 dS/dE for a chaotic system with scattering matrix S at energy E. The eigenvalues τj of Q are the so-called proper delay…
P. W. Brouwer, K. M. Frahm, C. W. J. BeenakkerMay 20, 1997
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Criteria for the onset of chaos in finite Fermi systems
The paper in its present form has been withdrawn.
V. V. Flambaum, G. F. Gribakin, O. P. SushkovMay 17, 1997
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Unpredictability, information, and chaos
A source of unpredictability is equivalent to a source of information: unpredictability means not knowing which of a set of alternatives is the actual one; determining the actual alternative yields…
Carlton M. Caves, Ruediger SchackMay 15, 1997
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Random Quantum Billiards
We present a random matrix model suitable for the quantum mechanical description of a particle confined to move inside a two-dimensional domain. Here, the ensemble average corresponds to an average…
Henrik J. Pedersen, A. D. JacksonMay 13, 1997
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Chaos properties and localization in Lorentz lattice gases
The thermodynamic formalism of Ruelle, Sinai, and Bowen, in which chaotic properties of dynamical systems are expressed in terms of a free energy-type function - called the topological pressure - is…
C. Appert, M. H. ErnstMay 12, 1997
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Low-Dimensional Modelling of Dynamical Systems
Consider briefly the equations of fluid dynamics-they describe the enormous wealth of detail in all the interacting physical elements of a fluid flow-whereas in applications we want to deal with a…
A. J. RobertsMay 9, 1997
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New Universality of Lyapunov Spectra in Hamiltonian Systems
A new universality of Lyapunov spectra λi is shown for Hamiltonian systems. The universality appears in middle energy regime and is different from another universality which can be reproduced by…
Yoshiyuki Y. YamaguchiMay 6, 1997
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Distribution of the wave function inside chaotic partially open systems
We demonstrate both theoretically and experimentally that the distribution of the wavefunction inside a partially open chaotic timereversal symmetric system displays significant deviations from the…
P. Seba, F. Haake, M. Kus et al.May 6, 1997
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Numerical study of scars in a chaotic billiard
We study numerically the scaling properties of scars in stadium billiard. Using the semiclassical criterion, we have searched systematically the scars of the same type through a very wide range, from…
Baowen LiMay 1, 1997
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Singularities in droplet pinching with vanishing viscosity
A slender-jet model for the pinching of a liquid column is considered in the limit of vanishing viscosity. We find the model to develop a singularity in the gradients of the local radius and the…
Jens EggersApr 30, 1997
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On the number of limit cycles of the Lienard equation
In this paper, we study a Lienard system of the form dotx=y-F(x), doty=-x, where F(x) is an odd polynomial. We introduce a method that gives a sequence of algebraic approximations to the equation…
H. Giacomini, S. NeukirchApr 30, 1997
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Pseudochaos in Statistical Physics
A new generic dynamical phenomenon of pseudochaos and its relevance to the statistical physics both modern as well as traditional one are considered and explained in some detail. The pseudochaos is…
Boris ChirikovApr 30, 1997
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Linear and Nonlinear Dynamical Chaos
Interrelations between dynamical and statistical laws in physics, on the one hand, and between the classical and quantum mechanics, on the other hand, are discussed with emphasis on the new…
Boris ChirikovApr 30, 1997
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On the low-dimensional modelling of Stratonovich stochastic differential equations
We develop further ideas on how to construct low-dimensional models of stochastic dynamical systems. The aim is to derive a consistent and accurate model from the originally high-dimensional system.…
Chao Xu, A. J. RobertsApr 30, 1997
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