| A hyperbolic Lindstedt–Poincaré method for homoclinic motion of a kind of strongly nonlinear autonomous oscillators |
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| 作者姓名： | Y.Y.Chen S.H.Chen K.Y.Sze |
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| 作者单位： | Department of Applied Mechanics and Engineering Sun Yat-sen University;Department of Mechanical Engineering;The University of Hong Kong;Department of Applied Mechanics and Engineering;Sun Yat-sen University; |
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| 基金项目： | supported by the National Natural Science Foundation of China (10672193); Sun Yat-sen University (Fu Lan Scholarship); the University of Hong Kong (CRGC grant). |
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| 摘 要： | A hyperbolic Lindstedt-Poincare method is presented to determine the homoclinic solutions of a kind of nonlinear oscillators, in which critical value of the homoclinic bifurcation parameter can be determined. The generalized Lienard oscillator is studied in detail, and the present method＇s predictions are compared with those of Runge-Kutta method to illustrate its accuracy.
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| 关 键 词： | 非线性振荡器 庞加莱 强非线性 双曲 自治 分岔参数 临界值 |
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