Hopping probabilities in a chaotic attractor

P. Etchegoin

Physica A: Statistical Mechanics and its Applications, 2001, vol. 301, issue 1, 97-104

Abstract: The residence time around different parts of a chaotic attractor is studied experimentally for nonlinear dynamical system with a double-scroll. It is shown that the dynamics of jumping from one scroll of the attractor to the other produces a distinct low-frequency peak in the otherwise featureless noise-like background produced by the chaotic dynamics. This peak can be interpreted as a distribution of residence times and follows a lognormal distribution. A few similarities with the phenomenon of stochastic resonances are also highlighted.

Keywords: Nonlinear dynamics; Nonlinear dynamical systems (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:301:y:2001:i:1:p:97-104

DOI: 10.1016/S0378-4371(01)00376-4

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