A family of planar differential systems with hyperbolic algebraic limit cycles

In this paper, we characterize a family of planar polynomial differential systems of degree greater or equal than n + 1 , by presenting polynomial curves of degree n , which generally contain closed components. These systems admit precisely the bounded components of the curve as hyperbolic limit cyc...

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Bibliographic Details
Published inElectronic journal of qualitative theory of differential equations Vol. 2025; no. 28; pp. 1 - 8
Main Authors Ghelmi, Maroua, Berbache, Aziza
Format Journal Article
LanguageEnglish
Published University of Szeged 01.01.2025
Subjects
algebraic limit cycle
hyperbolic limit cycle
invariant curve
periodic solution
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Summary:In this paper, we characterize a family of planar polynomial differential systems of degree greater or equal than n + 1 , by presenting polynomial curves of degree n , which generally contain closed components. These systems admit precisely the bounded components of the curve as hyperbolic limit cycles.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2025.1.28