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Steering most probable escape paths by varying relative noise intensities.

Publication ,  Journal Article
Dannenberg, PH; Neu, JC; Teitsworth, SW
Published in: Physical review letters
July 2014

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.

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Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

July 2014

Volume

113

Issue

2

Start / End Page

020601

Related Subject Headings

  • Stochastic Processes
  • Models, Theoretical
  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Dannenberg, P. H., Neu, J. C., & Teitsworth, S. W. (2014). Steering most probable escape paths by varying relative noise intensities. Physical Review Letters, 113(2), 020601. https://doi.org/10.1103/physrevlett.113.020601
Dannenberg, Paul H., John C. Neu, and Stephen W. Teitsworth. “Steering most probable escape paths by varying relative noise intensities.Physical Review Letters 113, no. 2 (July 2014): 020601. https://doi.org/10.1103/physrevlett.113.020601.
Dannenberg PH, Neu JC, Teitsworth SW. Steering most probable escape paths by varying relative noise intensities. Physical review letters. 2014 Jul;113(2):020601.
Dannenberg, Paul H., et al. “Steering most probable escape paths by varying relative noise intensities.Physical Review Letters, vol. 113, no. 2, July 2014, p. 020601. Epmc, doi:10.1103/physrevlett.113.020601.
Dannenberg PH, Neu JC, Teitsworth SW. Steering most probable escape paths by varying relative noise intensities. Physical review letters. 2014 Jul;113(2):020601.

Published In

Physical review letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

July 2014

Volume

113

Issue

2

Start / End Page

020601

Related Subject Headings

  • Stochastic Processes
  • Models, Theoretical
  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences