Abstract
This is a nontechnical exposition of the theory on vanishing noise limit for random perturbations of dynamical systems admitting heteroclinic networks developed by the author [Y. Bakhtin, Noisy heteroclinic networks, Probability Theory Rel. Fields (2010) DOI: 10.1007/s00440-010-0264-0]. We avoid details on stochastic calculus and stress the main ideas.
Original language | English (US) |
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Pages (from-to) | 413-431 |
Number of pages | 19 |
Journal | Dynamical Systems |
Volume | 25 |
Issue number | 3 |
DOIs | |
State | Published - Sep 2010 |
Keywords
- exit distribution
- heteroclinic networks
- random perturbation
- small noise
ASJC Scopus subject areas
- General Mathematics
- Computer Science Applications