<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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...

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

Published Online: Jan 01, 2022

Page range: 47 - 58

Received: Sep 01, 2020

DOI: https://doi.org/10.2478/tmmp-2021-0019

Keywords
limit cycle, first integral, discontinuous piecewise linear differential system

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Jan 01, 2022

Page range: 47 - 58

Received: Sep 01, 2020

DOI: https://doi.org/10.2478/tmmp-2021-0019

Keywordslimit cycle, first integral, discontinuous piecewise linear differential system

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
limit cycle, first integral, discontinuous piecewise linear differential system