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Stochastic Resonance in Deterministic Chaotic Systems

Authors
  • Crisanti, A.
  • Falcioni, M.
  • Paladin, G.
  • Vulpiani, A.
Type
Preprint
Publication Date
May 20, 1994
Submission Date
May 20, 1994
Identifiers
DOI: 10.1088/0305-4470/27/17/001
arXiv ID: chao-dyn/9405012
Source
arXiv
License
Unknown
External links

Abstract

We propose a mechanism which produces periodic variations of the degree of predictability in dynamical systems. It is shown that even in the absence of noise when the control parameter changes periodically in time, below and above the threshold for the onset of chaos, stochastic resonance effects appears. As a result one has an alternation of chaotic and regular, i.e. predictable, evolutions in an almost periodic way, so that the Lyapunov exponent is positive but some time correlations do not decay.

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