Escape from a chaotic attractor with fractal basin boundaries

Silchenko, Alexander N. and Beri, S. and Luchinsky, D. G. and McClintock, Peter V. E. (2003) Escape from a chaotic attractor with fractal basin boundaries. Proceedings of SPIE, 5114. pp. 102-107. ISSN 0277-786X

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Abstract

We study fluctuational transitions in a discrete dynamical system between two co-existing chaotic attractors separated by a fractal basin boundary. It is shown that there is a generic mechanism of fluctuational transition through a fractal boundary determined by a hierarchy of homoclinic original saddles. The most probable escape path from a chaotic attractors to the fractal boundary is found using both statistical analysis of fluctuational trajectories and Hamiltonian theory of fluctuations.

Item Type:
Journal Article
Journal or Publication Title:
Proceedings of SPIE
Additional Information:
Copyright 2003 Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited. http://dx.doi.org/10.1117/12.491007
Uncontrolled Keywords:
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Subjects:
ID Code:
10342
Deposited By:
Users 810 not found.
Deposited On:
11 Jul 2008 08:12
Refereed?:
No
Published?:
Published
Last Modified:
29 May 2020 02:05