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:
Journal Article
Journal or Publication Title:
Physical review letters
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
ID Code:
10343
Deposited By:
Users 810 not found.
Deposited On:
11 Jul 2008 08:27
Refereed?:
Yes
Published?:
Published
Last Modified:
08 Aug 2020 01:14