Solution of the boundary value problem for optimal escape in continuous stochastic systems and maps.
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.
Beri
S
S
Department of Physics, Lancaster University, Lancaster LA1 4YB, United Kingdom.
Mannella
R
R
Luchinsky
D G
DG
Silchenko
A N
AN
McClintock
P V E
PV