Bifurcations of random differential equations with bounded noise on surfaces

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.