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Proceedings Paper

Solution of the boundary value problem for nonlinear flows and maps
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Paper Abstract

Fluctuational escape via an unstable limit cycle is investigated in stochastic flows and maps. A new topological method is suggested for analysis of the corresponding boundary value problems when the action functional has multiple local minima along the escape trajectories and the search for the global minimum is otherwise impossible. The method is applied to the analysis of the escape problem in the inverted Van der Pol oscillator and in the Henon map. An application of this technique to solution of the escape problem in chaotic maps with fractal boundaries, and in maps with chaotic saddles embedded within the basin of attraction, is discussed.

Paper Details

Date Published: 7 May 2003
PDF: 11 pages
Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); doi: 10.1117/12.489017
Show Author Affiliations
Stefano Beri, Lancaster Univ. (United Kingdom)
Dmitrii G. Luchinsky, Lancaster Univ. (United Kingdom)
Alexandr Silchenko, Lancaster Univ. (United Kingdom)
Peter V.E. McClintock, Lancaster Univ. (United Kingdom)

Published in SPIE Proceedings Vol. 5114:
Noise in Complex Systems and Stochastic Dynamics
Lutz Schimansky-Geier; Derek Abbott; Alexander Neiman; Christian Van den Broeck, Editor(s)

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