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

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Solution of the boundary value problem for optimal escape in continuous stochastic systems and maps. / Beri, S.; Mannella, R.; Luchinsky, Dmitry G. et al.
In: Physical Review E, Vol. 72, No. 3, 09.2005, p. 036131.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Beri, S, Mannella, R, Luchinsky, DG, Silchenko, AN & McClintock, PVE 2005, 'Solution of the boundary value problem for optimal escape in continuous stochastic systems and maps.', Physical Review E, vol. 72, no. 3, pp. 036131. https://doi.org/10.1103/PhysRevE.72.036131

APA

Beri, S., Mannella, R., Luchinsky, D. G., Silchenko, A. N., & McClintock, P. V. E. (2005). Solution of the boundary value problem for optimal escape in continuous stochastic systems and maps. Physical Review E, 72(3), 036131. https://doi.org/10.1103/PhysRevE.72.036131

Vancouver

Beri S, Mannella R, Luchinsky DG, Silchenko AN, McClintock PVE. Solution of the boundary value problem for optimal escape in continuous stochastic systems and maps. Physical Review E. 2005 Sept;72(3):036131. doi: 10.1103/PhysRevE.72.036131

Author

Beri, S. ; Mannella, R. ; Luchinsky, Dmitry G. et al. / Solution of the boundary value problem for optimal escape in continuous stochastic systems and maps. In: Physical Review E. 2005 ; Vol. 72, No. 3. pp. 036131.

Bibtex

@article{327aad65a6984c9690f27cc8982b90af,
title = "Solution of the boundary value problem for optimal escape in continuous stochastic systems and maps.",
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.",
keywords = "boundary-value problems, stochastic systems, topology",
author = "S. Beri and R. Mannella and Luchinsky, {Dmitry G.} and Silchenko, {A. N.} and McClintock, {Peter V. E.}",
year = "2005",
month = sep,
doi = "10.1103/PhysRevE.72.036131",
language = "English",
volume = "72",
pages = "036131",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "3",

}

RIS

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 -