The focus case of a nonsmooth Rayleigh-Duffing oscillator
The focus case of a nonsmooth Rayleigh-Duffing oscillator
复制标题
非光滑瑞利-杜芬振荡器的焦点情况
DOI：
10.1007/s11071-021-07007-9
复制
发表时间：
2022
影响因子：
5.6
通讯作者：
Tang Yilei
中科院分区：
文献类型：
--
作者：
Wang Zhaoxia;Chen Hebai;Tang Yilei
In this paper, we study the global dynamics of a nonsmooth Rayleigh–Duffing equationfor the case, i.e., the focus case. The global dynamics of this nonsmooth Rayleigh–Duffing oscillator for the case, i.e., the saddle case, has been studied in the companion volume (Wang and Chen in Int J Non-Linear Mech 129: 103657, 2021). The research for the focus case is more complex than the saddle case, such as the appearance of five limit cycles and the gluing bifurcation which means that two double limit cycle bifurcation curves and one homoclinic bifurcation curve are very adjacent. We present bifurcation diagram, including one pitchfork bifurcation curve, two Hopf bifurcation curves, two double limit cycle bifurcation curves and one homoclinic bifurcation curve. Finally, numerical phase portraits illustrate our theoretical results.
