DYNAMICAL BEHAVIORS OF VAN DER POL-DUFFING SYSTEMS WITH INDEFINITE DEGREE

被引：6

作者：

Chen, Hebai ^{[1
]}

Feng, Zhaosheng ^{[2
]}

Li, Zhijie ^{[1
]}

Wang, Zhaoxia ^{[3
]}

机构：

[1] Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China

[2] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA

[3] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2024年 / 44卷 / 01期

关键词：

Van der Pol-Duffing oscillator; indefinite degree; bifurcation; global; phase portrait; Poincare disc; limit cycle; figure-eight loop; LIENARD EQUATIONS; OSCILLATOR;

D O I：

10.3934/dcds.2023104

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study dynamical behaviors of van der Pol-Duffing oscillator systems with indefinite degree. Under certain conditions, we show some novel and rich complex dynamics, including abundant nonlinear phenomena such as three limit cycles, figure-eight loop, global phase portraits, and infinitely many heteroclinic bifurcation surfaces.

引用

页码：281 / 317

页数：37

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