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

作　　者：Y.Y.Chen S.H.Chen K.Y.Sze 

机构地区：[1]Department of Applied Mechanics and Engineering Sun Yat-sen University [2]Department of Mechanical Engineering,The University of Hong Kong [3]Department of Applied Mechanics and Engineering,Sun Yat-sen University

出　　处：《Acta Mechanica Sinica》2009年第5期721-729,共9页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (10672193);Sun Yat-sen University (Fu Lan Scholarship);the University of Hong Kong (CRGC grant).

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.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.

关 键 词：Lindstedt-Poincare method Hyperbolic function Nonlinear autonomous oscillator - Homoclinic orbit 

分 类 号：TN752[电子电信—电路与系统]