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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

In: Tatra Mountains Mathematical Publications, vol. 79, no. 2
Aziza Berbache

Details:

Year, pages: 47 - 58
Language: eng
Keywords:
limit cycle, first integral, discontinuous piecewise linear differential system
Article type: Mathematics
Document type: scientific paper
About article:
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.
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 0. 0. 0
Rights:
https://creativecommons.org/licenses/by-nc-nd/4.0/