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Noise-induced escape through a fractal basin boundary.

Silchenko, A. N. and Luchinsky, D. G. and McClintock, Peter V. E. (2003) Noise-induced escape through a fractal basin boundary. Physica A: Statistical Mechanics and its Applications, 327 (3-4). pp. 371-377. ISSN 0378-4371

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Abstract

We study noise-induced escape within a discrete dynamical system that has two co-existing chaotic attractors in phase space separated by a locally disconnected fractal basin boundary. It is shown that escape occurs via a unique accessible point on the fractal boundary. The structure of escape paths is determined by the original saddles forming the homoclinic structure of the system and by their hierarchical interrelations.

Item Type: Article
Journal or Publication Title: Physica A: Statistical Mechanics and its Applications
Uncontrolled Keywords: Fractal basin boundary ; Noise-induced escape ; Saddle cycles ; Hierarchy
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
ID Code: 10344
Deposited By: Mrs Yaling Zhang
Deposited On: 11 Jul 2008 09:52
Refereed?: Yes
Published?: Published
Last Modified: 17 Sep 2013 10:49
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/10344

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