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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
Detaily:
Rok, strany: 47 - 58
Jazyk: eng
Kľúčové slová:
limit cycle, first integral, discontinuous piecewise linear differential system
Typ článku: Mathematics
Typ dokumentu: scientific paper
O článku:
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.
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 0. 0. 0
Verejná licencia:
https://creativecommons.org/licenses/by-nc-nd/4.0/