Periodic solutions of a generalized Van der Pol-Mathieu differential equation

The generalized Van der Pol-Mathieu equation with a small parameter ε is studied. The existence of periodic and quasiperiodic solutions is proved using the averaging method, the method of complexification and phase space analysis of a derived autonomous equation. The results extend and generalize those of Momeni et al. (2007), Veerman and Verhulst (2009) and Kadeřábek (2012).