Separating the regular and irregular energy levels and their statistics in Hamiltonian system with mixed classical dynamicsWe look at the high-lying eigenstates (from the 10,001st to the 13,000th) in the Robnik billiard (defined as a quadratic conformal map of the unit disk) with the shape parameter λ=0.15. All the…Baowen Li, Marko·Feb 1, 1995SaveLearn
Geometry of high-lying eigenfunctions in a plane billiard system having mixed type classical dynamicsIn this work we study the geometrical properties of the high-lying eigenfunctions (200,000 and above) which are deep in the semiclassical regime. The system we are analyzing is the billiard system…Baowen Li, Marko Robnik·Feb 1, 1995SaveLearn
Parametric Spectral Correlations of Disordered Systems in the Fourier DomainA Fourier analysis of parametric level dynamics for random matrices periodically depending on a phase is developed. We demonstrate both theoretically and numerically that under very general…I. Guarneri, K. Zyczkowski, J. Zakrzewski et al.·Jan 31, 1995SaveLearn
Time Delay Correlations in Chaotic Scattering: Random Matrix ApproachWe study the correlations of time delays in a model of chaotic resonance scattering based on the random matrix approach. Analytical formulae which are valid for arbitrary number of open channels and…N. Lehmann, D. V. Savin, V. V. Sokolov et al.·Jan 30, 1995SaveLearn
Random walk on Sierpinski-type multifractalsA method is established which allows the calculation of the walk dimension for Sierpinski-type multifractals. The multifractal scaling behaviour of the average time needed to cover a distance in the…U . Bernert, K. Koepernik·Jan 30, 1995SaveLearn
Statistical properties of energy levels of chaotic systems: Wigner or non-WignerFor systems whose classical dynamics is chaotic, it is generally believed that the local statistical properties of the quantum energy levels are well described by Random Matrix Theory. We present…Jakub Zakrzewski, Karine Dupret, Dominique Delande·Jan 29, 1995SaveLearn
Dynamical ensembles in stationary statesWe propose as a generalization of an idea of Ruelle to describe turbulent fluid flow a chaotic hypothesis for reversible dissipative many particle systems in nonequilibrium stationary states in…G. Gallavotti, E. G. D. Cohen·Jan 28, 1995SaveLearn
On "Universal" Correlations in Disordered and Chaotic SystemsNumerical study of the parametric motion of energy levels in a model system built on Random Matrix Theory is presented. The correlation function of levels' slopes (the so called velocity…Jakub Zakrzewski·Jan 27, 1995SaveLearn
Fractal Spectrum of a Quasiperiodically Driven Spin SystemWe numerically perform a spectral analysis of a quasi-periodically driven spin 1/2 system, the spectrum of which is Singular Continuous. We compute fractal dimensions of spectral measures and discuss…I. Guarneri, M. DiMeo·Jan 27, 1995SaveLearn
Global Large Time Self-similarity of a Thermal-Diffusive Combustion System with Critical NonlinearityWe study the initial value problem of the thermal-diffusive combustion system: u1,t = u1,x,x - u1 u22, u2,t = d u2,xx + u1 u22, x ∈ R1, for non-negative spatially decaying…J. Bricmont, A. Kupiainen, J. Xin·Jan 25, 1995SaveLearn
Reversible Anosov diffeomorphisms and large deviationsThe volume contraction obeys a large deviation rule.Giovanni Gallavotti·Jan 21, 1995SaveLearn
Integrability and Ergodicity of Classical Billiards in a Magnetic FieldWe consider classical billiards in plane, connected, but not necessarily bounded domains. The charged billiard ball is immersed in a homogeneous, stationary magnetic field perpendicular to the plane.…N. Berglund, H. Kunz·Jan 18, 1995SaveLearn
Controlling Chaos using an Exponential ControlWe demonstrate that chaos can be controlled using a multiplicative exponential feedback control. All three types of unstable orbits - unstable fixed points, limit cycles and chaotic trajectories can…Sangeeta D. Gadre, V. S. Varma·Jan 18, 1995SaveLearn
A new analysis of the tippe top: Asymptotic states and Liapunov stabilityAsymptotic behaviour of a tippe top, under the action of gliding friction. Liapunov stability analysis of the asymptotics of states with arbitrary initial conditions.Stefan Ebenfeld, Florian Scheck·Jan 18, 1995SaveLearn
Formation of Dynamic Domains in Strongly Driven FerromagnetsBased on the dissipative Landau-Lifshitz equation, the spatiotemporal structure formation problem is investigated in the region far above the transverse ferromagnetic resonance instability. Apart…Timm Plefka·Jan 10, 1995SaveLearn
Turbulent spectrum of the Earth's ozone fieldThe Total Ozone Mapping Spectrometer (TOMS) database is subjected to an analysis in terms of the Karhunen-Loeve (KL) empirical eigenfunctions. The concentration variance spectrum is transformed into…L. Sirovich, R. Everson, D. Manin·Jan 10, 1995SaveLearn
Semiclassical quantization using Bogomolny's quantum surface of sectionThe efficacy and accuracy of Bogomolny's method of the quantum surface of section is evaluated by applying it to the quantization of the motion of a particle in a smooth 2-D potential. This…M. R. Haggerty·Jan 4, 1995SaveLearn
Chaotic Properties of the Elliptical StadiumThe elliptical stadium is a curve constructed by joining two half-ellipses, with half axes a>1 and b=1, by two straight segments of equal length 2h. In this work we find bounds on h, for a close to…Roberto Markarian, Sylvie Oliffson Kamphorst, Sonia Pinto de Carvalho·Jan 4, 1995SaveLearn
Statistical properties of high-lying chaotic eigenstatesWe study the statistical properties of the high-lying chaotic eigenstates (200,000 and above) which are deep in the semiclassical regime. The system we are analyzing is the billiard system inside the…Baowen Li, Marko Robnik·Jan 2, 1995SaveLearn
Dynamics of homogeneous magnetizations in strong transverse driving fieldsSpatially homogeneous solutions of the Landau--Lifshitz--Gilbert equation are analysed. The conservative as well as the dissipative case is considered explicitly. For the linearly polarized driven…Thomas Traexler, Wolfram Just, Herwig Sauermann·Jan 2, 1995SaveLearn
Lyapunov exponents and anomalous diffusion of a Lorentz gas with infinite horizon using approximate zeta functionsWe compute the Lyapunov exponent, generalized Lyapunov exponents and the diffusion constant for a Lorentz gas on a square lattice, thus having infinite horizon. Approximate zeta functions, written in…Per Dahlqvist·Jan 2, 1995SaveLearn
Mean Field Theory for Lyapunov Exponents and KS Entropy in Lorentz Lattice GasesCellular automata lattice gases are useful systems for systematically exploring the connections between non-equilibrium statisitcal mechanics and dynamical systems theory. Here the chaotic properties…M. H. Ernst, J. R. Dorfman, R. Nix et al.·Dec 26, 1994SaveLearn
Lyapunov Exponents and KS Entropy for the Lorentz Gas at Low DensitiesThe Lyapunov exponents and the KS entropy for a two dimensional Lorentz gas at low densities are defined for general non-equilibrium states and calculated with the use of a Lorentz-Boltzmann type…Henk van Beijeren, J. R. Dorfman·Dec 26, 1994SaveLearn
The Crucial Formula for Determination of the Occurrence of the Non-Chaotic States in the rf-biased Nonlinear OscillatorsThe crucial formulas to determine the non-chaotic states in the rf-biased nonlinear oscillators are derived from the numerical experiments. The nature of these formulas, which depends on symmetrical…T. H. Yang, C. S. Wang, J. C. Huang et al.·Dec 17, 1994SaveLearn
When are vector fields Hamiltonian?Dynamical systems can be quantised only if they are Hamiltonian. This prompts the question from which our talk gets its title. We show how the simple predator-prey equation and the damped harmonic…P. Crehan·Dec 17, 1994SaveLearn