Chaos analysis for a class of impulse Duffing-van der Pol system

被引：1
|
作者：
Li, Shuqun [1 ,2 ]
Zhou, Liangqiang [1 ,2 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Sch Math, Nanjing 210016, Peoples R China
[2] MIIT, Key Lab Math Modelling & High Performance Comp Air, Nanjing 211106, Peoples R China
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2023年 / 78卷 / 05期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
chaos; Duffing-van der Pol system; homoclinic orbit; Melnikov method; BEHAVIOR;
D O I：
10.1515/zna-2023-0005
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
Chaotic dynamics of an impulse Duffing-van der Pol system is studied in this paper. With the Melnikov method, the existence condition of transversal homoclinic point is obtained, and chaos threshold is presented. In addition, numerical simulations including phase portraits and time histories are carried out to verify the analytical results. Bifurcation diagrams are also given, from which it can be seen that the system may undergo chaotic motions through period doubling bifurcations.
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页码：395 / 403
页数：9
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