Bifurcations of random differential equations with bounded noise on surfaces

Authors

  • Ale Jan Homburg
  • Todd R. Young

Keywords

Minimal Forward invariant set, invariant control set, bifurcation of stationary measure

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.

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Published

2010-04-23

How to Cite

1.
HOMBURG, Ale Jan and YOUNG, Todd R. Bifurcations of random differential equations with bounded noise on surfaces. Topological Methods in Nonlinear Analysis. Online. 23 April 2010. Vol. 35, no. 1, pp. 77 - 97. [Accessed 7 July 2025].

Issue

Vol 35, No 1 (March 2010)

Section

Articles

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