期刊论文

Wang, Jiafu;Huang, Lihong

英文

Nonlinear Analysis-Hybrid Systems

1751-570X

2019

33

162-178

10.1016/j.nahs.2019.03.004

This work is supported by the National Natural Science Foundation of China, (Grant Nos. 11771059, 11301551), the Natural Science Foundation of Hunan Province, China (Grant No. 2017JJ3525) and Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, China (Grant No. 2017TP1017).

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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 Liénard-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 l...