https://doi.org/10.1140/epjst/e2014-02179-9
Regular Article
Noise can reduce disorder in chaotic dynamics
1 Institute of Continuous Media Mechanics, UB RAS, Perm 614013, Russia
2 Department of Mathematics, University of Leicester, Leicester LE1 7RH, UK
a e-mail: Denis.Goldobin@gmail.com
Received: 17 February 2014
Revised: 4 April 2014
Published online: 13 May 2014
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.
© EDP Sciences, Springer-Verlag, 2014
