Global dynamics of a generalized arbitrary order Van der Pol-Duffing Oscillator☆

被引：0
|
作者：
Zhou, Jueliang [2 ]
Zou, Lan [1 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[2] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2025年 / 140卷
关键词：
Bifurcation diagram; Phase portrait; Limit cycle; Heteroclinic loop; SYSTEM;
D O I：
10.1016/j.cnsns.2024.108445
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the global bifurcation diagram and corresponding global phase portraits in the Poincar & eacute; disc for a generalized van der Pol-Duffing oscillator, which has four nonlinear terms with arbitrary orders. This nonlinear oscillator possesses more diverse and complicated dynamical behaviours, including the heteroclinic bifurcation, generalized Hopf bifurcation and pitchfork bifurcation. Moreover, theoretical results are exhibited via numerical simulations.
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页数：15
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