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The Hopf bifurcation with bounded noise

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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.
    Mathematics Subject Classification: Primary: 37H20; Secondary: 37G10, 34F20.

    Citation:

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