LIMIT CYCLES OF THE DISCONTINUOUS PIECEWISE DIFFERENTIAL SYSTEMS ON THE CYLINDER

Jie Li; Jaume Llibre

doi:10.11948/20220031

2022 Volume 12 Issue 3

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Jie Li, Jaume Llibre. LIMIT CYCLES OF THE DISCONTINUOUS PIECEWISE DIFFERENTIAL SYSTEMS ON THE CYLINDER[J]. Journal of Applied Analysis & Computation, 2022, 12(3): 952-963. doi: 10.11948/20220031

Citation:

Jie Li, Jaume Llibre. LIMIT CYCLES OF THE DISCONTINUOUS PIECEWISE DIFFERENTIAL SYSTEMS ON THE CYLINDER[J]. Journal of Applied Analysis & Computation, 2022, 12(3): 952-963. doi: 10.11948/20220031

LIMIT CYCLES OF THE DISCONTINUOUS PIECEWISE DIFFERENTIAL SYSTEMS ON THE CYLINDER

Jie Li¹,
Jaume Llibre^2, ,

1.
Department of Mathematics, Sichuan University, 610064 Chengdu, Sichuan, China
2.
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain

Dedicated to Professor Jibin Li on the occasion of his 80th birthday.
Corresponding author: Email: jllibre@mat.uab.cat(J. Li)
Fund Project: The first author is partially supported by the China Scholarship Council (CSC) (No. 202006240222). The second author is partially supported by the Agencia Estatal de Investigación (No. PID2019-104658GB-I00), and the H2020 European Research Council (No. MSCA-RISE-2017-777911)

Abstract

Abstract

In order to understand the dynamics of the differential systems the limit cycles play a main role, but in general their study is not easy. These last years an increasing interest appeared for studying the limit cycles of some classes of discontinuous piecewise differential systems, due to the rich applications of this kind of differential systems.

Very few papers studied the limit cycles of the discontinuous piecewise differential systems in spaces different from the plane $\mathbb{R}^2$. Here we study the limit cycles of a class of discontinuous piecewise differential systems on the cylinder.
- Limit cycles /
- discontinuous piecewise smooth system /
- differential systems on the cylinder
MSC: 34C05, 37G15

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References

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