The Hopf bifurcation with bounded noise

Published 19 Aug 2011 in math.DS | (1108.4053v1)

Abstract: 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 Hopf bifurcation is subjected to bounded noise then the bifurcation that occurs involves a discontinuous change in the Minimal Forward Invariant set.

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