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Noise induced escape from different types of chaotic attractor

Research output: Contribution to journalJournal article

Published

<mark>Journal publication date</mark>2000
<mark>Journal</mark>AIP Conference Proceedings
Volume502
Number of pages6
Pages48-53
Early online date2/07/00
<mark>Original language</mark>English

Abstract

Noise-induced escape from a quasi-attractor, and from the Lorenz attractor with non-fractal boundaries, are compared through measurements of optimal paths. It has been found that, for both types of attractor, there exists a most probable (optimal) escape trajectory, the prehistory of the escape being defined by the structure of the chaotic attractor. For a quasi-attractor the escape process is realized via several steps, which include transitions between low-period saddle cycles co-existing in the system phase space. The prehistory of escape from the Lorenz attractor is defined by stable and unstable manifolds of the saddle center point, and the escape itself consists of crossing the saddle cycle surrounding one of the stable point-attractors.

Bibliographic note

Copyright 2000 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in AIP Conference Proceedings, 502, 48 (2000) and may be found at http://dx.doi.org/10.1063/1.1302365 Proceedings of the Conference on Stochastic and Chaotic Dynamics (STOCHAOS), Ambleside, August, 1999.