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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 th...

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Bibliographic Details
Published in:Applied mathematics and computation 2014-05, Vol.234, p.192-202
Main Authors: Kalas, J., Kadeřábek, Z.
Format: Article
Language:English
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Summary: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).
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.01.161