Transition to Turbulence in Coupled Maps on Hierarchical LatticesGeneral hierarchical lattices of coupled maps are considered as dynamical systems. These models may describe many processes occurring in heterogeneous media with tree-like structures. The transition…M. G. Cosenza, K. Tucci·Jul 20, 1999SaveLearn
Mel'nikov Analysis of Homoclinic Chaos in a Perturbed sine-Gordon EquationWe describe and characterize rigorously the chaotic behavior of the sine-Gordon equation. The existence of invariant manifolds and the persistence of homoclinic orbits for a perturbed sine--Gordon…Vassilios M. Rothos·Jul 20, 1999SaveLearn
The multifractal structure of chaotically advected chemical fieldsThe structure of the concentration field of a decaying substance produced by chemical sources and advected by a smooth incompressible two-dimensional flow is investigated. We focus our attention on…Zoltan Neufeld, Cristobal Lopez, Emilio Hernandez-Garcia et al.·Jul 16, 1999SaveLearn
Anderson Localization in a String of Microwave CavitiesThe field distributions and eigenfrequencies of a microwave resonator which is composed of 20 identical cells have been measured. With external screws the periodicity of the cavity can be perturbed…C. Dembowski, H. -D. Graef, R. Hofferbert et al.·Jul 16, 1999SaveLearn
Synchronization of chaotic oscillations in doped fiber ring lasersWe investigate synchronization and subsequently communication using chaotic rare-earth-doped fiber ring lasers, represented by a physically realistic model. The lasers are coupled by transmitting a…Clifford Tureman Lewis, Henry D. I. Abarbanel, Matthew B. Kennel et al.·Jul 15, 1999SaveLearn
Identifying and modelling delay feedback systemsSystems with delayed feedback can possess chaotic attractors with extremely high dimension, even if only a few physical degrees of freedom are involved. We propose a state space reconstruction from…Rainer Hegger, Martin J. Bünner, Holger Kantz et al.·Jul 13, 1999SaveLearn
Identification and characterization of systems with delayed feedback: (I) Theory and toolsHigh-dimensional chaos displayed by multi-component systems with a single time-delayed feedback is shown to be accessible to time series analysis of a scalar variable only. The mapping of the…Martin J. Bünner, Marco Ciofini, Antonino Giaquinta et al.·Jul 13, 1999SaveLearn
Anomalous scaling of a passive scalar advected by the synthetic compressible flowThe field theoretic renormalization group and operator product expansion are applied to the problem of a passive scalar advected by the Gaussian nonsolenoidal velocity field with finite correlation…N. V. Antonov·Jul 13, 1999SaveLearn
Anomalous Scaling in the Anisotropic Sectors of the Kriachnan Model of Passive Scalar AdvectionKraichnan's model of passive scalar advection is studied as a case model for understanding the anomalous scaling in the anisotropic sectors. We show here that the solutions of the Kraichnan…Itai Arad Victor S. L'vov, Evgenii Podivilov, Itamar Procaccia·Jul 12, 1999SaveLearn
Symbolic Dynamics of the Diamagnetic Kepler Problem Without Involving BouncesWithout involving bounce events, a Poincaré section associated with the axes is found to give a map on the annulus for the diamagnetic Kepler problem. Symbolic dynamics is then established based on…Zuo-Bing Wu, Wei-Mou Zheng·Jul 10, 1999SaveLearn
Dynamic Stabilization in The Double-Well Duffing OscillatorBifurcations associated with stability of the saddle fixed point of the Poincaré map, arising from the unstable equilibrium point of the potential, are investigated in a forced Duffing oscillator…Sang-Yoon Kim, Youngtae Kim·Jul 9, 1999SaveLearn
On a conjecture for the critical behaviour of KAM toriAt the light of recent results in literature we review a conjecture formulated in Math. Phys. Electron. J. 1 (1995), paper 5, 1--13, about the mechanism of breakdown of invariant sets in KAM problems…F. Bonetto, G. Gentile·Jul 7, 1999SaveLearn
Learning Driver-Response Relationships from Synchronization PatternsWe test recent claims that causal (driver/response) relationships can be deduced from interdependencies between simultaneously measured time series. We apply two recently proposed interdependence…R. Quian Quiroga, J. Arnhold, P. Grassberger·Jul 6, 1999SaveLearn
Universality of Probability Distributions Among Two-Dimensional Turbulent FlowsWe study statistical properties of two-dimensional turbulent flows. Three systems are considered: the Navier-Stokes equation, surface quasi-geostrophic flow, and a model equation for thermal…Norbert Schorghofer·Jul 6, 1999SaveLearn
A Robust Method for Detecting Interdependences: Application to Intracranially Recorded EEGWe present a measure for characterizing statistical relationships between two time sequences. In contrast to commonly used measures like cross-correlations, coherence and mutual information, the…J. Arnhold, P. Grassberger, K. Lehnertz et al.·Jul 6, 1999SaveLearn
Critical states of transient chaosOne-dimensional maps exhibiting transient chaos and defined on two preimages of the unit interval [0,1] are investigated. It is shown that such maps have continuously many conditionally invariant…Z. Kaufmann, A. Németh, P. Szépfalusy·Jul 1, 1999SaveLearn
The identification of continuous, spatiotemporal systemsWe present a method for the identification of continuous, spatiotemporal dynamics from experimental data. We use a model in the form of a partial differential equation and formulate an optimization…H. Voss, M. J. Bünner, M. Abel·Jun 30, 1999SaveLearn
Recovery of the Time-Evolution Equation of Time-Delay Systems from Time SeriesWe present a method for time series analysis of both, scalar and nonscalar time-delay systems. If the dynamics of the system investigated is governed by a time-delay induced instability, the method…M. J. Bünner, Th. Meyer, A. Kittel et al.·Jun 30, 1999SaveLearn
Ghost orbits in the diamagnetic hydrogen spectrum using harmonic inversionThe harmonic inversion method is applied in the case of the hydrogen atom in a magnetic field to extract classical information from the quantum photo-ionization cross-section. The study is made close…Benoit Gremaud, Dominique Delande·Jun 30, 1999SaveLearn
Dispersion management in optical fiber links: Integrability in leading nonlinear orderWe show that an integro-differential equation model for pulse propagation in optical transmission lines with dispersion management, is integrable at the leading nonlinear order. This equation…Yuri V. Lvov, Ildar R. Gabitov·Jun 29, 1999SaveLearn
The quantum three-dimensional Sinai billiard - a semiclassical analysisWe present a comprehensive semiclassical investigation of the three-dimensional Sinai billiard, addressing a few outstanding problems in "quantum chaos". We were mainly concerned with the…Harel Primack, Uzy Smilansky·Jun 29, 1999SaveLearn
Noise-driven Synchronization in Coupled Map LatticesSynchronization is shown to occur in spatially extended systems under the effect of additive spatio-temporal noise. In analogy to low dimensional systems, synchronized states are observable only if…L. Baroni, R. Livi, A. Torcini·Jun 29, 1999SaveLearn
Quasi periodic motions from Hipparchus to KolmogorovThe evolution of the conception of motion as composed by circular uniform motions is analyzed, stressing its continuity from antiquity to our days.Giovanni Gallavotti·Jun 28, 1999SaveLearn
Comment on "Simple Measure of Complexity"We critique the measure of complexity introduced by Shiner, Davison, and Landsberg in Ref. [1]. In particular, we point out that it is over-universal, in the sense that it has the same dependence on…James P. Crutchfield, David P. Feldman, Cosma Rohilla Shalizi·Jun 26, 1999SaveLearn
Nonlinear Dynamics of the Perceived Pitch of Complex SoundsWe apply results from nonlinear dynamics to an old problem in acoustical physics: the mechanism of the perception of the pitch of sounds, especially the sounds known as complex tones that are…Julyan H. E. Cartwright, Diego L. Gonzalez, Oreste Piro·Jun 26, 1999SaveLearn