The Hopf bifurcation with bounded noise

Details The Hopf bifurcation with bounded noise The Hopf bifurcation with bounded noise

2011-08-19

arxiv.org/abs/1108.4053v1

Mathematics

Dynamical Systems

Color figure version of a manuscript to appear in Discrete and Continuous Dynamics Systems - A

Scientific paper

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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