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| Period solutions of Mathieu-Duffing oscillator by the homotopy analysis method |
| Received:August 19, 2015 Revised:November 28, 2015 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201701016 |
| KeyWord:the homotopy analysis method Mathieu-Duffing oscillator period motion floquet theory |
| Author | Institution |
| 李云东 |
四川理工学院 理学院, 自贡 |
| 杨翊仁 |
西南交通大学 力学与工程学院, 成都 |
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| Abstract: |
| In this paper,the period motion of the Mathieu-Duffing oscillator is investigated by the homo-topy analysis method.The procedures of the solution of the period-1 and period-2 are presented.The period solutions are obtained by solving the nonlinear algebraic equations.Stability of the period motion is judged by the Floquet theory.The phase portraits of period solution obtained by the homotopy analysis method agree well with those obtained by the numerical time-integration method. |