1. bookVolume 79 (2021): Edition 2 (December 2021)
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12 Nov 2012
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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

Publié en ligne: 01 Jan 2022
Volume & Edition: Volume 79 (2021) - Edition 2 (December 2021)
Pages: 47 - 58
Reçu: 01 Sep 2020
Détails du magazine
License
Format
Magazine
eISSN
1338-9750
Première parution
12 Nov 2012
Périodicité
3 fois par an
Langues
Anglais
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.

Keywords

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