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Noise can reduce disorder in chaotic dynamics

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Abstract

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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Authors and Affiliations

  1. Institute of Continuous Media Mechanics, UB RAS, Perm, 614013, Russia

    Denis S. Goldobin

  2. Department of Mathematics, University of Leicester, Leicester LE1 7RH, Leicester, UK

    Denis S. Goldobin

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  1. Denis S. Goldobin
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Correspondence to Denis S. Goldobin.

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Goldobin, D. Noise can reduce disorder in chaotic dynamics. Eur. Phys. J. Spec. Top. 223, 1699–1709 (2014). https://doi.org/10.1140/epjst/e2014-02179-9

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  • DOI: https://doi.org/10.1140/epjst/e2014-02179-9

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