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

[thumbnail of spiescapePostPrint]
PDF (spiescapePostPrint)
spiescapePostPrint.pdf - Accepted Version

Download (571kB)


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.
Uncontrolled Keywords:
?? qc physics ??
ID Code:
Deposited By:
Users 810 not found.
Deposited On:
11 Jul 2008 08:12
Last Modified:
31 Dec 2023 00:33