Article ID Journal Published Year Pages File Type
6421132 Applied Mathematics and Computation 2014 11 Pages PDF
Abstract

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).

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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