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
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.
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