Noise-Induced Escape From an Attractor

Zeev Schuss*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

The analysis of the exit problem, as defined in Section 6.4 and analyzed in Chapter 6, was based on explicit integral representations of solutions to the one-dimensional Andronov–Vitt–Pontryagin boundary value problems (6.33) for the exit distribution and for the MFPT. Such representations are in general unavailable in higher dimensions so that there is no obvious generalization of these methods for the exit problem in higher dimensions. Another approach, that is based on constructing an asymptotic solution to the boundary value problems by the methods of singular perturbations, can be generalized to higher dimensions (see Section 10.2).

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages339-398
Number of pages60
DOIs
StatePublished - 2010

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume170
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

Keywords

  • Boundary Layer
  • Boundary Layer Equation
  • Eikonal Equation
  • Exit Point
  • Saddle Point

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