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: /dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 10342
Deposited By: Users 810 not found.
Deposited On: 11 Jul 2008 08:12
Refereed?: No
Published?: Published
Last Modified: 21 Aug 2019 01:35
URI: https://eprints.lancs.ac.uk/id/eprint/10342

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