<正> A hyperbolic Lindstedt-Poincare method ispresented to determine the homoclinic solutions of a kindof nonlinear oscillators, in which critical value of the homo-clinicbifurcation parameter can be determined. The generalizedLienard oscillator is studied in detail, and the presentmethod's predictions are compared with those of Runge-Kuttamethod to illustrate its accuracy.
【英文摘要】
A hyperbolic Lindstedt-Poincare method is presented to determine the homoclinic solutions of a kind of nonlinear oscillators, in which critical value of the homo-clinic 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.
【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).
【更新日期】
2010-09-13
【分类号】
TN752
【正文快照】
1 IntroduetionIn the last few deeades,many new teehniques have beenPresented for obtaining Periodie solution of the nonlinearoseillator equation in the form ofj+g(x)=叮.(x,戈),(l)whereg(x)andf(x,戈)are nonlinearfonctionsoftheirargu-ments and￡15 a small P
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