Bifurcations of random differential equations with bounded noise on surfaces

A.J. Homburg, T.R. Young

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

In random differential equations with bounded noise minimal forward
invariant (MFI) sets play a central role since they support stationary
measures. We study the stability and possible bifurcations of MFI sets.
In dimensions 1 and 2 we classify all minimal forward
invariant sets and their codimension one bifurcations in bounded noise
random differential equations.
Original languageEnglish
Pages (from-to)77-98
Number of pages21
JournalTopological methods in nonlinear analysis
Volume35
Issue number1
Publication statusPublished - Mar 2010

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