Steering most probable escape paths by varying relative noise intensities.

Journal Article

We demonstrate the possibility to systematically steer the most probable escape paths (MPEPs) by adjusting relative noise intensities in dynamical systems that exhibit noise-induced escape from a metastable point via a saddle point. With the use of a geometric minimum action approach, an asymptotic theory is developed that is broadly applicable to fast-slow systems and shows the important role played by the nullcline associated with the fast variable in locating the MPEPs. A two-dimensional quadratic system is presented which permits analytical determination of both the MPEPs and associated action values. Analytical predictions agree with computed MPEPs, and both are numerically confirmed by constructing prehistory distributions directly from the underlying stochastic differential equation.

Full Text

Duke Authors

Cited Authors

  • Dannenberg, PH; Neu, JC; Teitsworth, SW

Published Date

  • July 7, 2014

Published In

Volume / Issue

  • 113 / 2

Start / End Page

  • 020601 -

PubMed ID

  • 25062157

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/physrevlett.113.020601

Language

  • eng