Time Delay in the Kuramoto Model of Coupled OscillatorsWe generalize the Kuramoto model of coupled oscillators to allow time-delayed interactions. New phenomena include bistability between synchronized and incoherent states, and unsteady solutions with…M. K. Stephen Yeung, Steven H. Strogatz·Jul 22, 1998SaveLearn
KAM Theorem and Quantum Field TheoryWe give a new proof of the KAM theorem for analytic Hamiltonians. The proof is inspired by a quantum field theory formulation of the problem and is based on a renormalization group argument treating…J. Bricmont, K. Gawedzki, A. Kupiainen·Jul 21, 1998SaveLearn
Intermittency and structure functions in channel flow turbulenceWe present a study of intermittency in a turbulent channel flow. Scaling exponents of longitudinal streamwise structure functions, ζp /ζ3, are used as quantitative indicators of intermittency. We…F. Toschi, G. Amati, S. Succi et al.·Jul 20, 1998SaveLearn
Spectral Correlations in the Crossover Transition from a Superposition of Harmonic Oscillators to the Gaussian Unitary EnsembleWe compute the spectral correlation functions for the transition from a harmonic oscillator towards the Gaussian Unitary Ensemble (GUE). We use a variant of the supersymmetry method to obtain…Thomas Guhr, Thomas Papenbrock·Jul 20, 1998SaveLearn
Pair dispersion in synthetic fully developed turbulenceThe Lagrangian statistics of relative dispersion in fully developed turbulence is numerically investigated. A scaling range spanning many decades is achieved by generating a synthetic velocity field…G. Boffetta, A. Celani, A. Crisanti et al.·Jul 20, 1998SaveLearn
Memory Effects and Scaling Laws in Slowly Driven SystemsThis article deals with dynamical systems depending on a slowly varying parameter. We present several physical examples illustrating memory effects, such as metastability and hysteresis, which…N. Berglund, H. Kunz·Jul 17, 1998SaveLearn
Indicators of Reconnection Processes and Transition to Global Chaos in Nontwist MapsReconnection processes of twin-chains are systematically studied in the quadratic twist map. By using the reversibility and symmetry of the mapping, the location of the indicator points is…Susumu Shinohara, Yoji Aizawa·Jul 16, 1998SaveLearn
A simple method of chaos controlA simple method to perform chaos control without the need of complex numerical and analytical calculations is proposed. The method works for dynamical systems with bounded solutions and in the…E. M. Shahverdiev·Jul 16, 1998SaveLearn
Spacing distributions for rhombus billiardsWe show that the spacing distributions of rational rhombus billiards fall in a family of universality classes distinctly different from the Wigner-Dyson family of random matrix theory and the Poisson…B. Gremaud, S. R. Jain·Jul 16, 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 gives a new solution of the the long standing problem of…R. E. Prange, R. Narevich, Oleg Zaitsev·Jul 15, 1998SaveLearn
Driven Morse Oscillator: Model for Multi-photon Dissociation of Nitrogen OxideWithin a one-dimensional semi-classical model with a Morse potential the possibility of infrared multi-photon dissociation of vibrationally excited nitrogen oxide was studied. The dissociation…Julian Juhi-Lian Ting·Jul 15, 1998SaveLearn
Simple deterministic dynamical systems with fractal diffusion coefficientsWe analyze a simple model of deterministic diffusion. The model consists of a one-dimensional periodic array of scatterers in which point particles move from cell to cell as defined by a piecewise…R. Klages, J. R. Dorfman·Jul 10, 1998SaveLearn
Spectral Statistics in Chaotic Systems with Two Identical Connected CellsChaotic systems that decompose into two cells connected only by a narrow channel exhibit characteristic deviations of their quantum spectral statistics from the canonical random-matrix ensembles. The…Thomas Dittrich, Gert Koboldt, Bernhard Mehlig et al.·Jul 9, 1998SaveLearn
Classical and quantum chaos in a circular billiard with a straight cutWe study classical and quantum dynamics of a particle in a circular billiard with a straight cut. This system can be integrable, nonintegrable with soft chaos, or nonintegrable with hard chaos, as we…Suhan Ree, L. E. Reichl·Jul 9, 1998SaveLearn
Finsler Geometric Local Indicator of Chaos for single orbits in the Henon-Heiles hamiltonianTranslating the dynamics of the Henon--Heiles hamiltonian as a geodesic flow on a Finsler manifold, we obtain a local and synthetic Geometric Indicator of Chaos (GIC) for two degrees of freedom…Piero Cipriani, Maria Di Bari·Jul 9, 1998SaveLearn
S-matrix poles for chaotic quantum systems as eigenvalues of complex symmetric random matrices: from isolated to overlapping resonancesWe study complex eigenvalues of large N× N symmetric random matrices of the form H=H-iΓ, where both H and Γ are real symmetric, H is random Gaussian…H. -J. Sommers, Yan V. Fyodorov, M. Titov·Jul 9, 1998SaveLearn
Rational dynamical zeta functions for birational transformationsWe propose a conjecture for the exact expression of the dynamical zeta function for a family of birational transformations of two variables, depending on two parameters. This conjectured function is…N. Abarenkova, J. -Ch. Anglès d'Auriac, S. Boukraa et al.·Jul 9, 1998SaveLearn
On the entropy devil's staircase in a family of gap-tent mapsWe analyze dynamical properties of a "gap-tent map" - a family of 1D maps with a symmetric gap, which mimics the presence of noise in physical realizations of chaotic systems. We demonstrate…Karol Zyczkowski, Erik M. Bollt·Jul 7, 1998SaveLearn
Nonlocal bottleneck effect in two-dimensional turbulenceThe bottleneck pileup in the energy spectrum is investigated for several two-dimensional (2D) turbulence systems by numerical simulation using high-order diffusion terms to amplify the effect, which…D. Biskamp, A. Celani, E. Schwarz·Jul 7, 1998SaveLearn
Field Driven Thermostated System : A Non-Linear Multi-Baker MapIn this paper, we discuss a simple model for a field driven, thermostated random walk that is constructed by a suitable generalization of a multi-baker map. The map is a usual multi-baker, but…T. Gilbert, C. D. Ferguson, J. R. Dorfman·Jul 6, 1998SaveLearn
Thermodynamic entropy and excess information loss in dynamical systems with time-dependent HamiltonianWe study a dynamical system with time dependent Hamiltonian by numerical experiments so as to find a relation between thermodynamics and chaotic nature of the system. Excess information loss, defined…S. Sasa, T. S. Komatsu·Jul 6, 1998SaveLearn
Fingerprints of Classical Instability in Open Quantum DynamicsThe dynamics near a hyperbolic point in phase space is modelled by an inverted harmonic oscillator. We investigate the effect of the classical instability on the open quantum dynamics of the…Paul A. Miller, Sarben Sarkar·Jul 3, 1998SaveLearn
Enhancement in Surface Atmospheric Pressure Variability Associated with a Major Geomagnetic StormObservational studies indicate that there is a close association between geomagnetic storm and meteorological parameters. Geomagnetic field lines follow closely the isobars of surface pressure . A…A. M. Selvam, S. Fadnavis, S. U. Athale et al.·Jul 3, 1998SaveLearn
Critical Attractor and Universality in a Renormalization Scheme for Three Frequency Hamiltonian SystemsWe study an approximate renormalization-group transformation to analyze the breakup of invariant tori for three degrees of freedom Hamiltonian systems. The scheme is implemented for the spiral mean…C. Chandre, H. R. Jauslin·Jul 2, 1998SaveLearn
The Dynamics Of Non-Linear Effects In Optical ProcessesA universal theory of chaos is presented which postulates the self-organized ordered growth of self-similar, scale invariant, eddy energy structures by space-time integration of inherent microscale…Mary Selvam Amujuri·Jul 1, 1998SaveLearn