Cantorian Fractal Spacetime, Quantum-like Chaos and Scale Relativity in Atmospheric FlowsCantorian fractal spacetime fluctuations characterize quantumlike chaos in atmospheric flows. The macroscale atmospheric flow structure behaves as a unified whole quantum system, where, the…A. M. Selvam, Suvarna Fadnavis·Aug 13, 1998SaveLearn
A Matrix Element for Chaotic Tunnelling Rates and Scarring IntensitiesIt is shown that tunnelling splittings in ergodic double wells and resonant widths in ergodic metastable wells can be approximated as easily-calculated matrix elements involving the wavefunction in…Stephen C. Creagh, Niall D. Whelan·Aug 12, 1998SaveLearn
Marginal hyperchaos synchronization with a single driving variableFor the first time an example of marginal hyperchaos synchronization with a single driving variable within the replica approach is presented. It has been demonstrated that in some cases one can…E. M. Shahverdiev·Aug 12, 1998SaveLearn
Anomalous scaling regimes of a passive scalar advected by the synthetic velocity fieldThe field theoretic renormalization group (RG) is applied to the problem of a passive scalar advected by the Gaussian self-similar velocity field with finite correlation time and in the presence of…N. V. Antonov·Aug 11, 1998SaveLearn
Chaos in the Classical Analogue of the Hofstadter ProblemThe behaviour of an electron in a potential that resembles that of a bidimensional solid with a perpendicular magnetic field applied is studied from a classical point of view. This problem presents…M. del Mar Espinosa, Miguel A. Martin-Delgado, Alfonso Niella et al.·Aug 11, 1998SaveLearn
Boosting SonoluminescenceSingle bubble sonoluminescence has been experimentally produced through a novel approach of optimized sound excitation. A driving consisting of a first and second harmonic with selected amplitudes…Joachim Holzfuss, Matthias Ruggeberg, Robert Mettin·Aug 10, 1998SaveLearn
Cluster dynamics in systems with constant mean field couplingA procedure to predict the occurrence of periodic clusters in a system of globally coupled maps displaying a constant mean field is presented. The method employs the analogy between a system of…A. Parravano, M. G. Cosenza·Aug 7, 1998SaveLearn
Modular Transformations, Order-Chaos Transitions and Pseudo-Random Number GenerationSuccessive pairs of pseudo-random numbers generated by standard linear congruential transformations display ordered patterns of parallel lines. We study the ``ordered'' and…Antonio Bonelli, Stefano Ruffo·Aug 7, 1998SaveLearn
Delayed feedback control of periodic orbits in autonomous systemsFor controlling periodic orbits with delayed feedback methods the periodicity has to be known a priori. We propose a simple scheme, how to detect the period of orbits from properties of the control…Wolfram Just, Dirk Reckwerth, Johannes Möckel et al.·Aug 6, 1998SaveLearn
Extensive Scaling and Nonuniformity of the Karhunen-Loève Decomposition for the Spiral-Defect Chaos StateBy analyzing large-aspect-ratio spiral-defect-chaos (SDC) convection images, we show that the Karhunen-Loève decomposition (KLD) scales extensively for subsystem-sizes larger than 4d (d is the fluid…Scott M. Zoldi, Jun Liu, Kapil M. S. Bajaj et al.·Aug 5, 1998SaveLearn
A local fluctuation theoremA mechanism for the validity of a local version of the fluctuation theorem, uniform in the system size, is discussed for a reversible chain of weakly coupled Anosov systems.Giovanni Gallavotti·Aug 5, 1998SaveLearn
Chaotic Hypothesis and Universal Large Deviations PropertiesChaotic systems arise naturally in Statistical Mechanics and in Fluid Dynamics. A paradigm for their modelization are smooth hyperbolic systems. Are there consequences that can be drawn simply by…Giovanni Gallavotti·Aug 5, 1998SaveLearn
The Spectral Autocorrelation Function in Weakly Open Chaotic Systems: Indirect Photodissociation of MoleculesWe derive the statistical limit of the spectral autocorrelation function and of the survival probability for the indirect photodissociation of molecules in the regime of non-overlapping resonances.…Y. Alhassid, Yan V. Fyodorov·Aug 5, 1998SaveLearn
Intermittency in coupled mapsUsing a renormalization method, we study the critical behavior for intermittency in two coupled one-dimensional (1D) maps. We find two fixed maps of the renormalization transformation. They all have…Sang-Yoon Kim·Aug 2, 1998SaveLearn
Dissipation statistics of a passive scalar in a multidimensional smooth flowWe compute analytically the probability distribution function P(ε) of the dissipation field ε=(∇ θ)2 of a passive scalar θ advected by a d-dimensional random flow, in the limit…A. Gamba, I. V. Kolokolov·Jul 31, 1998SaveLearn
Uniform trace formulae for SU(2) and SO(3) symmetry breakingWe develop uniform approximations for the trace formula for non-integrable systems in which SU(2) symmetry is broken by a non-linear term of the Hamiltonian. As specific examples, we investigate…M. Brack, P. Meier, K. Tanaka·Jul 30, 1998SaveLearn
Transient Hamiltonian chaos in the cavity electrodynamicsWe consider the chaotic dynamics of the interaction between an ensemble of two-level atoms in a high-Q Fabry-Perot cavity with a single mode of self-consistent field and with an external…Kirill N. Alekseev, Gennady P. Berman·Jul 30, 1998SaveLearn
The power of surrogate data testing with respect to non-stationaritySurrogate data testing is a method frequently applied to evaluate the results of nonlinear time series analysis. Since the null hypothesis tested against is a linear, gaussian, stationary stochastic…J. Timmer·Jul 28, 1998SaveLearn
Scaling and interleaving of sub-system Lyapunov exponents for spatio-temporal systemsThe computation of the entire Lyapunov spectrum for extended dynamical systems is a very time consuming task. If the system is in a chaotic spatio-temporal regime it is possible to approximately…R. Carretero-González, S. Ørstavik, J. Huke et al.·Jul 28, 1998SaveLearn
Nonlinear dynamics of a solid-state laser with injectionWe analyze the dynamics of a solid-state laser driven by an injected sinusoidal field. For this type of laser, the cavity round-trip time is much shorter than its fluorescence time, yielding a…M. K. Stephen Yeung, Steven H. Strogatz·Jul 27, 1998SaveLearn
Renormalization analysis of intermittency in two coupled mapsThe critical behavior for intermittency is studied in two coupled one-dimensional (1D) maps. We find two fixed maps of an approximate renormalization operator in the space of coupled maps. Each fixed…Sang-Yoon Kim·Jul 27, 1998SaveLearn
Phase space embedding of electrocardiogramsWe study properties of the human electrocardiogram under the working hypothesis that fluctuations beyond the regular structure of single cardiac cycles are unpredictable. On this background we…Marcus Richter, Thomas Schreiber·Jul 27, 1998SaveLearn
Trace formulas for stochastic evolution operators: Weak noise perturbation theoryPeriodic orbit theory is an effective tool for the analysis of classical and quantum chaotic systems. In this paper we extend this approach to stochastic systems, in particular to mappings with…Predrag Cvitanovic', C. P. Dettmann, Ronnie Mainieri et al.·Jul 25, 1998SaveLearn
A note on shell models for MHD TurbulenceWe investigate the time evolution of two different (GOY-like) shell models which have been recently proposed to describe the gross features of MHD turbulence. We see that, even if they are formally…P. Giuliani, V. Carbone·Jul 23, 1998SaveLearn
Complexity spectrum of some discrete dynamical systemsWe first study birational mappings generated by the composition of the matrix inversion and of a permutation of the entries of 3 × 3 matrices. We introduce a semi-numerical analysis which…N. Abarenkova, J-. Ch. Anglès d'Auriac, S. Boukraa et al.·Jul 22, 1998SaveLearn