Explicit Non Algebraic Limit Cycle for a Discontinuous Piecewise Differential Systems Separated by One Straight Line and Formed by Linear Center and Linear System Without Equilibria

Aziza Berbache

doi:10.2478/tmmp-2021-0019

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Explicit Non Algebraic Limit Cycle for a Discontinuous Piecewise Differential Systems Separated by One Straight Line and Formed by Linear Center and Linear System Without Equilibria

Tatra Mountains Mathematical Publications

Volume 79 (2021): Issue 2 (December 2021)

By: Aziza Berbache

Open Access

|Jan 2022

Abstract

In this paper, we deal with the discontinuous piecewise differential linear systems formed by two differential systems separated by a straight line when one of these two differential systems is a linear without equilibria and the other is a linear center. We are going to show that the maximum number of crossing limit cycles is one, and if exists, it is non algebraic and analytically given.

References

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2021-0019 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 47 - 58

Submitted on: Sep 1, 2020

Published on: Jan 1, 2022

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

limit cycle,

first integral,

discontinuous piecewise linear differential system

Related subjects:

Mathematics,

General mathematics

© 2022 Aziza Berbache, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 79 (2021): Issue 2 (December 2021)