Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle–focus type

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成果类型：

期刊论文

作者：

Wang, Jiafu*;Huang, Chuangxia;Huang, Lihong*

通讯作者：

Wang, Jiafu;Huang, Lihong

作者机构：

[Huang, Lihong; Wang, Jiafu; Wang, JF; Huang, LH; Huang, Chuangxia] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.

[Wang, Jiafu] Cent South Univ Forestry & Technol, Inst Math & Phys, Changsha 410004, Hunan, Peoples R China.

通讯机构：

[Wang, JF; Huang, LH] C

Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.

语种：

英文

关键词：

Planar piecewise linear system;Limit cycle;Lienard-like canonical form;Stability;Discontinuity

期刊：

Nonlinear Analysis-Hybrid Systems

ISSN：

1751-570X

年：

2019

卷：

页码：

162-178

DOI：

10.1016/j.nahs.2019.03.004

基金类别：

National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11771059, 11301551]; Natural Science Foundation of Hunan Province, ChinaNatural Science Foundation of Hunan Province [2017JJ3525]; Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, China [2017TP1017]

机构署名：

本校为其他机构

院系归属：

理学院

摘要：

The aim of this paper is to deal with the problem of limit cycles for a general planar piecewise linear differential system of saddle-focus type. By using the Lienard-like canonical form with five parameters and dividing the total parameter space into several regions, the number of limit cycles is discussed in detail. In particular, we give parameter regions where there are at least two limit cycles. Moreover, we investigate the existence and stability of exactly two nested limit cycles in some pa...

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Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle–focus type

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