NOISE-INDUCED STABILIZATION OF ONE-DIMENSIONAL DISCONTINUOUS MAPS

Authors
Citation
R. Wackerbauer, NOISE-INDUCED STABILIZATION OF ONE-DIMENSIONAL DISCONTINUOUS MAPS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(3), 1998, pp. 3036-3044
Citations number
24
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
58
Issue
3
Year of publication
1998
Part
A
Pages
3036 - 3044
Database
ISI
SICI code
1063-651X(1998)58:3<3036:NSOODM>2.0.ZU;2-8
Abstract
Dynamical noise yields a stabilization, or switching inertia, of the f lip-flop process in the Lorenz flow [R. Wackerbauer. Phys. Rev. E 52, 4745 (1995)]. In order to understand the corresponding stabilization m echanisms in general, a systematic analysis of the influence of dynami cal perturbations on the switching process of one-dimensional, discont inuous maps (a piecewise linear map, a Lorenz map, and a piecewise lin ear Lorenz approximation) is presented. It turns out that the dominant stabilization mechanism in all Lorenz-type maps under study is caused by a noise-induced unstable fixed point, resulting in a noise-induced escape of a typical trajectory into a less frequently visited part of the attractor.