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Fluctuational Transitions through a Fractal Basin Boundary.

Silchenko, A. N. and Beri, S. and Luchinsky, D. G. and McClintock, P. V. (2003) Fluctuational Transitions through a Fractal Basin Boundary. Physical Review Letters, 91 (17). 174104 / 4 pages.

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Abstract

Fluctuational transitions between two coexisting chaotic attractors, separated by a fractal basin boundary, are studied in a discrete dynamical system. It is shown that the transition mechanism is determined by a hierarchy of homoclinic points. The most probable escape path from a chaotic attractor to the fractal boundary is found using both statistical analyses of fluctuational trajectories and the Hamiltonian theory of fluctuations.

Item Type: Article
Journal or Publication Title: Physical Review Letters
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
ID Code: 10343
Deposited By: Mrs Yaling Zhang
Deposited On: 11 Jul 2008 09:27
Refereed?: Yes
Published?: Published
Last Modified: 17 Sep 2013 10:49
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/10343

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