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math.DS2011★ 1 cited
The Hopf bifurcation with bounded noise
Ryan Botts, Ale Jan Homburg, Todd Young
We study Hopf-Andronov bifurcations in a class of random differential equations (RDEs) with bounded noise. We observe that when an ordinary differential equation that undergoes a H…
math.DS2011★ 1 cited
Circle diffeomorphisms forced by expanding circle maps
Ale Jan Homburg
We discuss dynamics of skew product maps defined by circle diffeomorphisms forced by expanding circle maps. We construct an open class of such systems that are robust topologically…