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Proceedings Paper

Escape from a chaotic attractor with fractal basin boundaries
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Paper 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.

Paper Details

Date Published: 7 May 2003
PDF: 6 pages
Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); doi: 10.1117/12.491007
Show Author Affiliations
Alexander N Silchenko, Lancaster Univ. (United Kingdom)
Stefano Beri, Lancaster Univ. (United Kingdom)
Dmitry G. Luchinsky, Lancaster Univ. (United Kingdom)
Peter V.E. McClintock, Lancaster Univ. (United Kingdom)

Published in SPIE Proceedings Vol. 5114:
Noise in Complex Systems and Stochastic Dynamics
Lutz Schimansky-Geier; Derek Abbott; Alexander Neiman; Christian Van den Broeck, Editor(s)

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