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, M., Johnson, R., Munõz-Villarragut, V. (2016). On the nonautonomous hopf bifurcation problem. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, 9(4), 1119-1148 [10.3934/dcdss.2016045].
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.File in questo prodotto:
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