Wave-function entropy and dynamical-symmetry breaking in the interacting boson modelThe degree of chaos in the Interacting Boson Model (IBM-1) is compared with what we call the "dynamical-symmetry content" of the system. The latter is represented by the information entropy…Pavel Cejnar, Jan Jolie·Feb 25, 1998SaveLearn
Universality for the breakup of invariant tori in Hamiltonian flowsIn this article, we describe a new renormalization-group scheme for analyzing the breakup of invariant tori for Hamiltonian systems with two degrees of freedom. The transformation, which acts on…C. Chandre, M. Govin, H. R. Jauslin et al.·Feb 25, 1998SaveLearn
Kolmogorov-Arnold-Moser Renormalization-Group Approach to the Breakup of Invariant Tori in Hamiltonian SystemsWe analyze the breakup of invariant tori in Hamiltonian systems with two degrees of freedom using a combination of KAM theory and renormalization-group techniques. We consider a class of Hamiltonians…C. Chandre, M. Govin, H. R. Jauslin·Feb 25, 1998SaveLearn
Kolmogorov-Arnold-Moser--Renormalization-Group Analysis of Stability in Hamiltonian FlowsWe study the stability and breakup of invariant tori in Hamiltonian flows using a combination of Kolmogorov-Arnold-Moser (KAM) theory and renormalization-group techniques. We implement the scheme…M. Govin, C. Chandre, H. R. Jauslin·Feb 25, 1998SaveLearn
Intermittency and eddy-viscosities in dynamical models of turbulenceThe dependence of intermittent inertial properties on ultraviolet eddy viscosity closures is examined within the framework of shell-models of turbulent flows. Inertial intermittent exponents turn out…R. Benzi, L. Biferale, S. Succi et al.·Feb 24, 1998SaveLearn
Quasiclassical Surface of Section Perturbation TheoryPerturbation theory, the quasiclassical approximation and the quantum surface of section method are combined for the first time. This solves the long standing problem of quantizing the resonances and…R. E. Prange, R. Narevich, Oleg Zaitsev·Feb 24, 1998SaveLearn
On the Tongue-Like Bifurcation Structures of the Mean-Field Dynamics in a Network of Chaotic ElementsCollective behavior is studied in globally coupled maps. Several coherent motions exist, even in fully desynchronized state. To characterize the collective behavior, we introduce scaling…Tatsuo Shibata, Kunihiko Kaneko·Feb 21, 1998SaveLearn
Asymmetric Cellular Automaton Modeling EarthquakesWe propose an asymmetric modification of the sand-pile-like cellular automaton for earthquake modeling. The cumulative event distribution is shown to be dependent on the asymmetry parameter.P. G. Akishin, M. V. Altaisky, A. D. Budnik et al.·Feb 20, 1998SaveLearn
On the Strength of Attractors in a High-dimensional System: Milnor Attractor Network, Robust Global Attraction, and Noise-induced SelectionStrength of attractor is studied by the return rate to itself after perturbations, for a multi-attractor state of a globally coupled map. It is found that fragile (Milnor) attractors have a large…Kunihiko Kaneko·Feb 20, 1998SaveLearn
Bifurcations and Transitions to Chaos in An Inverted PendulumWe consider a parametrically forced pendulum with a vertically oscillating suspension point. It is well known that, as the amplitude of the vertical oscillation is increased, its inverted state…Sang-Yoon Kim, Bambi Hu·Feb 17, 1998SaveLearn
Computing periodic orbits using the anti-integrable limitChaotic dynamics can be effectively studied by continuation from an anti-integrable limit. Using the Henon map as an example, we obtain a simple analytical bound on the domain of existence of the…D. G. Sterling, J. D. Meiss·Feb 13, 1998SaveLearn
Transverse instability for non-normal parametersWe consider the behaviour of attractors near invariant subspaces on varying a parameter that does not preserve the dynamics in the invariant subspace but is otherwise generic, in a smooth dynamical…Peter Ashwin, Eurico Covas, Reza Tavakol·Feb 12, 1998SaveLearn
Mecanique statistique hors equilibre: l'heritage de BoltzmannOn place quelques applications récentes de la théorie du Chaos en perspective avec la théorie classique de Boltzmann.G. Gallavotti·Feb 12, 1998SaveLearn
Quantum fluctuations: Enhancement or suppression of chaos?We have studied the effects of quantum fluctuations on dynamical behavior by using squeezed state approach. Our numerical results of the kicked harmonic oscillator demonstrate qualitatively and…Bambi Hu, Baowen Li, Jie Liu et al.·Feb 12, 1998SaveLearn
Energy transport and correlation between two attractors connected by Fermi-Pasta-Ulam chainWe study numerically time evolution of a system which consists of two attractors connected by Fermi-Pasta-Ulam (FPU) chain. It is found that after sufficiently long time there exits self-consistent…Alexander Fillipov, Bambi Hu, Baowen Li et al.·Feb 12, 1998SaveLearn
Exploring the Collective Behavior on the One-dimensional Quartic MapIn this work we study numerically a lattice composed of two parameter single quartic maps with local diffusive coupling. We find large regions over the parameter space where the single quartic map is…L G Brunnet, J A C Gallas·Feb 11, 1998SaveLearn
Phase Coherence in Chaotic Oscillatory MediaCollective oscillations of lattices of locally-coupled chaotic Roessler oscillators are studied with regard to the dynamical scaling of their phase interfaces. Using analogies with the complex…L G Brunnet, H Chate·Feb 10, 1998SaveLearn
Extensive Properties of the Complex Ginzburg-Landau EquationWe study the set of solutions of the complex Ginzburg-Landau equation in d, d<3. We consider the global attracting set (i.e., the forward map of the set of bounded initial data), and restrict…Pierre Collet, Jean-Pierre Eckmann·Feb 6, 1998SaveLearn
Unstable Periodic Orbit Analysis of Histograms of Chaotic Time SeriesUsing the Lorenz equations, we have investigated whether unstable periodic orbits (UPOs) associated with a strange attractor may predict the occurrence of the robust sharp peaks in histograms of some…Scott M. Zoldi·Feb 5, 1998SaveLearn
Noise rectification in quasigeostrophic forced turbulenceWe study the appearance of large scale mean motion sustained by stochastic forcing on a rotating fluid (in the quasigeostrophic approximation) flowing over topography. As in other noise rectification…Alberto Alvarez, Emilio Hernandez-Garcia, Joaquin Tintore·Feb 4, 1998SaveLearn
Photo-ionization of the helium atom close to the double ionization threshold: towards the Ericson regimeWe calculate the photo-ionization cross-section from the ground state of the helium atom, using the complex rotation method and diagonalization of sparse matrices. This produces directly the…Benoit Gremaud, Dominique Delande·Feb 4, 1998SaveLearn
Coiling and Supercoiling of Vortex Filaments in Oscillatory MediaWe study the behavior of vortex filaments subject to a uniform density of phase twist in oscillatory media described by the complex Ginzburg-Landau equation. The first instability is a supercritical…Guillaume Rousseau, Hugues Chaté, Raymond Kapral·Feb 3, 1998SaveLearn
Master-Slave scheme and controlling chaos in the Braiman and Goldhirsch methodThis brief report presents a master-slave scheme to demonstrate how control chaos in the Braiman and Goldhirsch method for the one- dimensional map system. The scheme also naturally explain why the…Han-Tzong Su, Yaw-Hwang Chen, Rue-Ron Hsu·Jan 31, 1998SaveLearn
Renormalization Group, Operator Product Expansion, and Anomalous Scaling in a Model of Advected Passive ScalarField theoretical renormalization group methods are applied to the Obukhov--Kraichnan model of a passive scalar advected by the Gaussian velocity field with the covariance $< v(t, x)…Loran Ts. Adzhemyan, Nikolaj V. Antonov, Alexander N. Vasil'ev·Jan 27, 1998SaveLearn
Localization in discontinuous quantum systemsClassical and quantum properties of a discontinuous perturbed twist map are investigated. Different classical diffusive regimes, quasilinear and slow respectively, are observed. The regime of slow…Fausto Borgonovi·Jan 26, 1998SaveLearn