摘要
本文利用广义KB平均摄动法研究二次分叉问题.对于两个具有Van der Pol Duffing型耦合的非线性振子,二次分叉一般会导致稳定的拟周期运动.然而,对于某些特殊的调谐参数数值,二次分叉会导致周期多样性.
The problem of secondary bifurcation is studied in this paper by means of the generalized KB averaging perturbation method. Generally, a stable quasiperiodic motion can be caused by the secondary bifurcation in two coupled Van der Pol-Duffing nonlinear oscillators. Nevertheless, for some special values of detuning parameters periodic variety may occur due to the secondary bifurcation.
出处
《力学学报》
EI
CSCD
北大核心
1989年第1期95-100,共6页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金
关键词
分叉
非线性振动
周期
平均摄动法
Nonlinear oscillation, Bifurcation, Perturbation
