Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 32, Issue 8, Pages 2997-3007Publisher
AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/dcds.2012.32.2997
Keywords
Random dynamical system; random differential equation; stationary measure; minimal forward invariant set
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Funding
- NIH-NIGMS [R01GM090207]
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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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