Van der Pol-Duffing系统的非共振Hopf分叉

摘要

用多尺度法求出了系统的一次近似平均方程和极坐标形成的分叉响应方程。研究了系统非共振情况下的平衡点性质和Hopf分叉，讨论了零解和极限环的稳定性%In this paper,the problem of nonresonant bifurcation in nonlinerar oscillation system is studied,the response equation of bifurcation of the system is derived and the stability of Limit cycle is analyzed respectively.