Displaying similar documents to “Generalized Hopf bifurcations and applications to planar quadratic systems”

Bautin bifurgation of a modified generalized Van der Pol-Mathieu equation

Zdeněk Kadeřábek (2016)

Archivum Mathematicum

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The modified generalized Van der Pol-Mathieu equation is generalization of the equation that is investigated by authors Momeni et al. (2007), Veerman and Verhulst (2009) and Kadeřábek (2012). In this article the Bautin bifurcation of the autonomous system associated with the modified generalized Van der Pol-Mathieu equation has been proved. The existence of limit cycles is studied and the Lyapunov quantities of the autonomous system associated with the modified Van der Pol-Mathieu equation...