Under well-known conditions, a one-parameter family of two-dimensional, autonomous ordinary differential equations admits a supercritical Andronov-Hopf bifurcation. Let such a family be perturbed by a non-autonomous term. We analyze the sense in which and some conditions under which the Andronov-Hopf pattern persists under such a perturbation.

On the nonautonomous hopf bifurcation problem

Franca Matteo
Membro del Collaboration Group
;
2016

Abstract

Under well-known conditions, a one-parameter family of two-dimensional, autonomous ordinary differential equations admits a supercritical Andronov-Hopf bifurcation. Let such a family be perturbed by a non-autonomous term. We analyze the sense in which and some conditions under which the Andronov-Hopf pattern persists under such a perturbation.
Franca Matteo; Johnson Russell; Munõz-Villarragut Victor
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/721116
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