Periodic solutions of Liénard-Mathieu differential equation with a small parameter
| Authors | |
|---|---|
| Year of publication | 2017 |
| Type | Article in Periodical |
| Magazine / Source | Georgian Mathematical Journal |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1515/gmj-2017-0001 |
| Field | General mathematics |
| Keywords | Liénard–Mathieu equation; periodic solutions; quasiperiodic solutions; averaging method; method of complexification; phase space analysis |
| Description | The Liénard–Mathieu equation with a small parameter is examined. The existence of periodic and quasiperiodic solutions is proved using the averaging method, the method of complexification and the phase space analysis of an associated autonomous equation. The results extend and generalize those of Kalas and Kadeřábek (2014). |
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