Periodic solutions of a generalized Van der Pol–Mathieu differential equation
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摘要
The generalized Van der Pol–Mathieu equation with a small parameter 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).
论文关键词：Van der Pol–Mathieu equation,Periodic solutions,Quasiperiodic solutions,Averaging method,Method of complexification,Autonomous equations,Phase space analysis
论文评审过程：Available online 9 March 2014.
论文官网地址：https://doi.org/10.1016/j.amc.2014.01.161
