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; Johnson, Russell; Munõz Villarragut, Victor. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - STAMPA. - 9:4(2016), pp. 1119-1148. [10.3934/dcdss.2016045]
On the nonautonomous hopf bifurcation problem
FRANCA, Matteo;
2016-01-01
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.File in questo prodotto:
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