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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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Published in: | Applied mathematics and computation 2014-05, Vol.234, p.192-202 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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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). |
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ISSN: | 0096-3003 1873-5649 |
DOI: | 10.1016/j.amc.2014.01.161 |