A hyperbolic Lindstedt-Poincare method for homoclinic motion of a kind of strongly nonlinear autonomous oscillators

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 predictio...

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Bibliographic Details
Published in:Acta mechanica Sinica 2009-10, Vol.25 (5), p.721-729
Main Authors: Chen, Y. Y., Chen, S. H., Sze, K. Y.
Format: Article
Language:English
Subjects:
Autonomous
Bifurcations
Classical and Continuum Physics
Computational Intelligence
Engineering
Engineering Fluid Dynamics
Nonlinearity
Oscillators
Research Paper
Runge-Kutta method
Theoretical and Applied Mechanics
临界值
分岔参数
庞加莱
强非线性
非线性振荡器
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Summary: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.
ISSN:0567-7718
1614-3116
DOI:10.1007/s10409-009-0276-0