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Noise-Induced Escape From an Attractor

  • Zeev Schuss
Chapter
Part of the Applied Mathematical Sciences book series (AMS, volume 170)

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).

Keywords

Boundary Layer Saddle Point Exit Point Boundary Layer Equation Eikonal Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Zeev Schuss
    • 1
  1. 1.Department of Applied MathematicsSchool of Mathematical Science Tel Aviv UniversityTel AvivIsrael

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