Publication details
Periodic solutions of a generalized Van der Pol-Mathieu differential equation
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Applied Mathematics and Computation |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1016/j.amc.2014.01.161 |
| Field | General mathematics |
| Keywords | Van der Pol Mathieu equation; Periodic solutions; Quasiperiodic solutions; Averaging method; Method of complexification; Autonomous equations; Phase space analysis |
| Description | 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). |
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