Two non algebraic limit cycles of a class of polynomial differential systems with non-elementary equilibrium point
type: Item
instance of: scholarly article
title: Two non algebraic limit cycles of a class of polynomial differential systems with non-elementary equilibrium point
zbMATH Open document ID: 1498.34087
author: Sabah Benadouane
author: Aziza Berbache
author: Ahmed Bendjeddou
published in: Tatra Mountains Mathematical Publications
publication date: 2022-01-20T00:00:00Z
review text: The paper deals with polynomial differential systems of degree \(6k+1\), \(k\in\mathbb{N}^\ast\), with a non-elementary singular point. For this class of systems, the authors obtain some conditions on the parameters of the system in order to prove the existence of either two algebraic limit cycles or two non-algebraic limit cycles. Classical techniques of the Darboux theory are applied to obtain the main result of the paper. The authors also present some examples.
reviewed by: Alex C. Rezende
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34A05
zbMATH DE Number: 7460175
zbMATH Keywords: algebraic and non-algebraic limit cycle
zbMATH Keywords: planar polynomial differential system
zbMATH Keywords: first integral
MaRDI profile type: Publication
full work available at URL: tmmp-2021-0018
OpenAlex ID: W4205469396
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DOI: 10.2478/TMMP-2021-0018
description: scientific article; zbMATH DE number 7460175