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 ??
Deposited By:
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Deposited On:
11 Jul 2008 08:12
Last Modified:
30 Jul 2024 23:36