Noise Reduces Disorder in Chaotic Dynamics

Details Noise Reduces Disorder in Chaotic Dynamics Noise Reduces Disorder in Chaotic Dynamics

2010-07-31

arxiv.org/abs/1008.0073v2

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 figures

Scientific paper

We evoke the idea of representation of the chaotic attractor by the set of unstable periodic orbits and disclose a novel noise-induced ordering phenomenon. For long unstable periodic orbits forming the strange attractor the weights (or natural measure) is generally highly inhomogeneous over the set, either diminishing or enhancing the contribution of these orbits into system dynamics. We show analytically and numerically a weak noise to reduce this inhomogeneity and, additionally to obvious perturbing impact, make a regularizing influence on the chaotic dynamics. This universal effect is rooted into the nature of deterministic chaos.

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