Stochastic Resonance in Deterministic Chaotic Systems
chao-dyn
2009-10-22 v1 Condensed Matter
Chaotic Dynamics
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.
Cite
@article{arxiv.chao-dyn/9405012,
title = {Stochastic Resonance in Deterministic Chaotic Systems},
author = {A. Crisanti and M. Falcioni and G. Paladin and A. Vulpiani},
journal= {arXiv preprint arXiv:chao-dyn/9405012},
year = {2009}
}
Comments
9 Pages + 3 Figures, RevTeX 3.0, sub. J. Phys. A