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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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: Journal Article
Journal or Publication Title: Physical review letters
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qc
Departments: Faculty of Science and Technology > Physics
ID Code: 10343
Deposited By: Users 810 not found.
Deposited On: 11 Jul 2008 08:27
Refereed?: Yes
Published?: Published
Last Modified: 21 Feb 2020 00:59
URI: https://eprints.lancs.ac.uk/id/eprint/10343

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