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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Solution of the boundary value problem for optimal escape in continuous stochastic systems and maps.
AU - Beri, S.
AU - Mannella, R.
AU - Luchinsky, Dmitry G.
AU - Silchenko, A. N.
AU - McClintock, Peter V. E.
PY - 2005/9
Y1 - 2005/9
N2 - 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.
AB - 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.
KW - boundary-value problems
KW - stochastic systems
KW - topology
U2 - 10.1103/PhysRevE.72.036131
DO - 10.1103/PhysRevE.72.036131
M3 - Journal article
VL - 72
SP - 036131
JO - Physical Review E
JF - Physical Review E
SN - 1539-3755
IS - 3
ER -