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Solution of the boundary value problem for optimal escape in continuous stochastic systems and maps.

Beri, S. and Mannella, R. and Luchinsky, Dmitry G. and Silchenko, A. N. and McClintock, Peter V. E. (2005) Solution of the boundary value problem for optimal escape in continuous stochastic systems and maps. Physical Review E, 72 (3). 036131. ISSN 1539-3755

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Abstract

Topologies of invariant manifolds and optimal trajectories are investigated in stochastic continuous systems and maps. A topological method is introduced that simplifies the solution of boundary value problems: The activation energy is calculated as a function of a set of parameters characterizing the initial conditions of the escape path. The method is applied explicitly to compute the optimal escape path and the activation energy for a variety of dynamical systems and maps.

Item Type: Article
Journal or Publication Title: Physical Review E
Uncontrolled Keywords: boundary-value problems ; stochastic systems ; topology
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
ID Code: 9329
Deposited By: Ms Margaret Calder
Deposited On: 04 Jun 2008 15:17
Refereed?: Yes
Published?: Published
Last Modified: 26 Jul 2012 18:35
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/9329

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