On the non-autonomous Hopf bifurcation problem: systems with rapidly varying coefficients.

We consider a $2$-dimensional ordinary differential equation (ODE) depending on a parameter $\epsilon$. If the ODE is autonomous the supercritical Andronov–Hopf bifurcation theory gives sufficient conditions for the genesis of a repeller–attractor pair, made up by a critical point and a stable limit...

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Bibliographic Details
Main Authors: Matteo Franca, Russell Johnson
Format: Article
Language:English
Published: University of Szeged 2019-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6712