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.
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页码：281 / 317
页数：37
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