Differential Equations and Dynamics Seminar
Bifurcations of planar random differential equations with bounded noise, Todd Young, Ohio University Department of Math
| What |
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|---|---|
| When |
Oct 19, 2009 from 04:10 pm to 05:00 pm |
| Where | Morton 322 |
| Contact Name | Todd Young |
| Contact Email | young@math.ohiou.edu |
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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 under generic conditions. We find in 1 dimension that
there is only 1 codimension-one bifurcation, which is an analog of the saddle-node
bifurcation. In 2 dimensions we show that there are 3 distinct codimension-one
bifurcations.
This is joint work with Ale Jan Homburg (KdV Institute, University of Amsterdam)
