Stochastic Resonance in Deterministic Chaotic Systems

Details Stochastic Resonance in Deterministic Chaotic Systems Stochastic Resonance in Deterministic Chaotic Systems

1994-05-20

arxiv.org/abs/chao-dyn/9405012v1

Physics

Condensed Matter

9 Pages + 3 Figures, RevTeX 3.0, sub. J. Phys. A

Scientific paper

10.1088/0305-4470/27/17/001

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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