Lancaster EPrints

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

[img]
Preview
PDF (PRE2005BoundaryValue.pdf) - Published Version
Download (507Kb) | Preview

    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: 14 Apr 2015 09:28
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/9329

    Actions (login required)

    View Item