Topological Methods in Nonlinear Analysis

Bifurcations of random differential equations with bounded noise on surfaces

Ale Jan Homburg and Todd R. Young

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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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Topol. Methods Nonlinear Anal., Volume 35, Number 1 (2010), 77-97.

First available in Project Euclid: 21 April 2016

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Homburg, Ale Jan; Young, Todd R. Bifurcations of random differential equations with bounded noise on surfaces. Topol. Methods Nonlinear Anal. 35 (2010), no. 1, 77--97.

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