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:

?? qc physics ??

Departments:

Faculty of Science and Technology > Physics

ID Code:

10342

Deposited By:

Users 810 not found.

Deposited On:

11 Jul 2008 08:12

Refereed?:

Published?:

Published

Last Modified:

26 Sep 2024 00:39

URI:

https://eprints.lancs.ac.uk/id/eprint/10342