Bursting oscillations induced by multiple coexisting attractors in a modified 3D van der Pol-Duffing system

被引：9
作者：
Zhang, Bin [1 ]
Zhang, Xiaofang [1 ]
Jiang, Wenan [1 ]
Ding, Hu [2 ]
Chen, Liqun [2 ]
Bi, Qinsheng [1 ]
机构：
[1] Jiangsu Univ, Fac Civil Engn & Mech, Zhenjiang 212013, Peoples R China
[2] Shanghai Univ, Sch Mech & Engn Sci, Shanghai 200072, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2023年 / 116卷
基金：
中国国家自然科学基金;
关键词：
Bursting oscillations; Coexisting attractors; Multiple stability; Domain of attraction; CHAOTIC SYSTEM; CIRCUIT; DYNAMICS; ANTIMONOTONICITY; PERIOD;
D O I：
10.1016/j.cnsns.2022.106806
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a novel three-dimensional modified van der Pol-Duffing circuit with a quintic nonlinear resistor is proposed, and the multiple stable attractors are observed. The complex bursting patterns are investigated, various patterns of bursting oscillations are obtained under slowly changing frequency, and the transition mechanism of which can be revealed via the modified slow-fast analysis as well as the transformed phase portrait. It can be found that for the system with mono-stability, only one bursting pattern exists, while for the case with multi-stability, the trajectory can enter into different attraction areas in the transition region, leading to complex forms of bursting oscillations. Furthermore, the multi-valued characteristic of the system are observed by the domain of attraction. (C) 2022 Elsevier B.V. All rights reserved.
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页数：20
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