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Chaotic Dynamics papers — page 27

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Constrained randomization of time series for hypothesis testing
We propose a general scheme to create time sequences that fulfill given constraints but are random otherwise. Significance levels for nonlinearity tests are as usually obtained by Monte Carlo…
Thomas Schreiber, Andreas SchmitzMay 13, 1998
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Collective Chaos
An algorithm to characterize collective motion is presented, with the introduction of ``collective Lyapunov exponent'', as the orbital instability at a macroscopic level. By applying the…
Tatsuo Shibata, Kunihiko KanekoMay 11, 1998
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Cross-spectral analysis of physiological tremor and muscle activity. II. Application to synchronized EMG
We investigate the relationship between synchronized muscle activity and tremor time series in (enhanced) physiological tremor by cross-spectral analysis. Special attention is directed to the phase…
J. Timmer, M. Lauk, W. Pfleger et al.May 8, 1998
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Cross-spectral analysis of physiological tremor and muscle activity. I. Theory and application to unsynchronized EMG
We investigate the relationship between the extensor electromyogram (EMG) and tremor time series in physiological hand tremor by cross-spectral analysis. Special attention is directed to the phase…
J. Timmer, M. Lauk, W. Pfleger et al.May 8, 1998
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Modeling noisy time series: Physiological tremor
Empirical time series often contain observational noise. We investigate the effect of this noise on the estimated parameters of models fitted to the data. For data of physiological tremor, i.e. a…
J. TimmerMay 8, 1998
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Multiplier phenomenology in random multiplicative cascade processes
We demonstrate that the correlations observed in conditioned multiplier distributions of the energy dissipation in fully developed turbulence can be understood as an unavoidable artefact of the…
Bruno Jouault, Peter Lipa, Martin GreinerMay 8, 1998
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A simplified model for red cell dynamics in small blood vessels
A simple mechanism for the confinement of red cells in the middle of narrow blood vessels is proposed. In the presence of a quadratic shear, red cells deform in such a way to loose fore-aft symmetry…
Piero OllaMay 7, 1998
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Algebraic entropy
For any discrete time dynamical system with a rational evolution, we define an entropy, which is a global index of complexity for the evolution map. We analyze its basic properties and its relations…
M. P. Bellon, C. -M. VialletMay 7, 1998
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Mode Fluctuation Distribution for Spectra of Superconducting Microwave Billiards
High resolution eigenvalue spectra of several two- and three-dimensional superconducting microwave cavities have been measured in the frequency range below 20 GHz and analyzed using a statistical…
H. Alt, C. Dembowski, H. -D. Graef et al.May 6, 1998
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Average Patterns of Spatiotemporal Chaos: A Boundary Effect
Chaotic pattern dynamics in many experimental systems show structured time averages. We suggest that simple universal boundary effects underly this phenomenon and exemplify them with the…
Victor M. Eguiluz, Preben Alstrom, Emilio Hernandez-Garcia et al.May 5, 1998
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Approximating the mapping between systems exhibiting generalized synchronization
We present methods for approximating the mapping that defines the invariant manifold for two systems exhibiting generalized synchronization. If the equations of motion are known then an analytic…
Reggie BrownMay 5, 1998
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Scaling and Exotic Regimes in Decaying Burgers Turbulence
We analyze the stochastic scaling laws arising in the invicid limit of the decaying solutions of the Burgers equation. The linear scaling of the velocity structure functions is shown to reflect the…
Denis Bernard, Krzysztof GawedzkiMay 4, 1998
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The Use of Generalized Information Dimension in Measuring Fractal Dimension of Time Series
An algorithm for calculating generalized fractal dimension of a time series using the general information function is presented. The algorithm is based on a strings sort technique and requires $O(N…
Yosef AshkenazyMay 3, 1998
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Macroscopic chaos in globally coupled maps
We study the coherent dynamics of globally coupled maps showing macroscopic chaos. With this term we indicate the hydrodynamical-like irregular behaviour of some global observables, with typical…
M. Cencini, M. Falcioni, D. Vergni et al.Apr 30, 1998
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Reminiscences on science at I.H.E.S. A problem on homoclinic theory and a brief review
On the occasion of the 40-th anniversary of IHES I present a few scientific reminiscences: most of my scientific life has been marked by my visits and I run through them concluding with the analysis…
Giovanni GallavottiApr 30, 1998
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Melnikov's approximation dominance. Some examples
We continue a previous paper to show that Mel'nikov's first order formula for part of the separatrix splitting of a pendulum under fast quasi periodic forcing holds, in special examples, as…
G. Gallavotti, G. Gentile, V. MastropietroApr 30, 1998
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Light Squeezing at the Transition to Quantum Chaos
We investigate theoretically the dynamics of squeezed state generation in nonlinear systems possessing a transition from regular to chaotic dynamics in the limit of a large number of photons. As an…
Kirill N. Alekseev, Jan PerinaApr 28, 1998
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Testing for nonlinearity in unevenly sampled time series
We generalize the method of surrogate data of testing for nonlinearity in time series to the case that the data are sampled with uneven time intervals. The null hypothesis will be that the data have…
Andreas Schmitz, Thomas SchreiberApr 28, 1998
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The Extraction of Anisotropic Contributions in Turbulent Flows
We analyze turbulent velocity signals measured by two probes in the atmosphere, both at the height of 35 meters but displaced by 40 cm nominally orthogonal to the mean wind. Choosing a suitable…
Itai Arad, Brindesh Dhruva, Susan Kurien et al.Apr 24, 1998
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Relevance of Chaos in Numerical Solutions of Quantum Billiards
In this paper we have tested several general numerical methods in solving the quantum billiards, such as the boundary integral method (BIM) and the plane wave decomposition method (PWDM). We…
Baowen Li, Marko Robnik, Bambi HuApr 24, 1998
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hbar expansion for the periodic orbit quantization by harmonic inversion
Semiclassical spectra beyond the Gutzwiller and Berry-Tabor approximation for chaotic and regular systems, respectively, are obtained by harmonic inversion of the hbar expansion of the periodic orbit…
J. Main, K. Weibert, G. WunnerApr 23, 1998
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Adiabatic geometric phases and response functions
Treating a many-body Fermi system in terms of a single particle in a deforming mean field. We relate adiabatic geometric phase to susceptibility for the noncyclic case, and to its derivative for the…
Sudhir R. Jain, Arun K. PatiApr 23, 1998
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Hamiltonian structure of the Sabra shell model of turbulence: exact calculation of an anomalous scaling exponent
We show that the Sabra shell model of turbulence, which was introduced recently, displays a Hamiltonian structure for given values of the parameters. As a consequence we compute exactly a…
Victor S. L'vov, Evgenii Podivilov, Itamar ProcacciaApr 23, 1998
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Multi-time, multi-scale correlation functions in turbulence and in turbulent models
A multifractal-like representation for multi-time multi-scale velocity correlation in turbulence and dynamical turbulent models is proposed. The importance of subleading contributions to time…
L. Biferale, G. Boffetta, A. Celani et al.Apr 22, 1998
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Comment on fractality of quantum mechanical energy spectra
The fractal properties of the energy spectra of quantum systems are discussed in connection with the paper by Sáiz and Martínez [Phys. Rev. E 54, 2431 (1996)]. It is shown that for discrete energy…
Andrzej Z. GorskiApr 21, 1998
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