Journal ArticleDOI
Intermittency, self-similarity and 1/f spectrum in dissipative dynamical systems
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TLDR
In this article, a systeme dynamique dissipatif discret qui presente une transition vers la turbulence par intermittence is described, and a model of dynamique deterministe is presented.Abstract:
Nous etudions un systeme dynamique dissipatif discret qui presente une transition vers la turbulence par intermittence. Au seuil d'instabilite, ce modele possede une structure d'homothetie interne analogue a celle des modeles de bruits de Mandelbrot. Le fait que l'on obtienne un spectre en 1/ f suggere que de tels spectres peuvent tirer leur origine d'une dynamique deterministe a court terme bien que non predictible a long terme, au cœur de notre comprehension actuelle de la transition vers la turbulence.read more
Citations
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Is walking a random walk? Evidence for long-range correlations in stride interval of human gait
TL;DR: It is demonstrated that conventional models of gait generation fail to reproduce the observed scaling behavior and a new type of central pattern generator model is introduced that successfully accounts for the experimentally observed long-range correlations.
Journal ArticleDOI
Random texts exhibit Zipf's-law-like word frequency distribution
TL;DR: It is shown that the distribution of word frequencies for randomly generated texts is very similar to Zipf's law observed in natural languages such as English.
Journal ArticleDOI
Scale invariance in biology: coincidence or footprint of a universal mechanism?
TL;DR: A self‐contained review of recent work on complex biological systems which exhibit no characteristic scale and the concepts of absence of characteristic scale (power‐law distributions, fractals and 1/f‐noise) and of critical phenomena are reviewed.
Journal ArticleDOI
Effects of Colored Noise on Stochastic Resonance in Sensory Neurons
TL;DR: In this article, it was shown that 1/f noise can be better than white noise for enhancing the response of a neuron to a weak signal, under certain circumstances, and the biological implications of 1 /f noise were discussed.
Journal ArticleDOI
Extreme events: dynamics, statistics and prediction
Michael Ghil,Michael Ghil,Pascal Yiou,Stephane Hallegatte,Bruce D. Malamud,Philippe Naveau,A. Soloviev,Petra Friederichs,Vladimir Keilis-Borok,Dmitri Kondrashov,Vladimir Kossobokov,Olivier Mestre,C. Nicolis,Henning W. Rust,Peter Shebalin,Mathieu Vrac,Annette Witt,Annette Witt,Ilya Zaliapin +18 more
TL;DR: Two important results refer to the complementarity of spectral analysis of a time series in terms of the continuous and the discrete part of its power spectrum and the need for coupled modeling of natural and socio-economic systems.
References
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Journal ArticleDOI
Successive Bifurcations Leading to Stochastic Behavior
TL;DR: In this paper, a model of interacting normal modes in a nonlinear, dissipative system is constructed in order to analyze speculations by Ruelle and Takens, and possible relevance of these phenomena for physical systems is discussed.
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