Limit cycles for the class of \(D\)-dimensional polynomial differential systems
type: Item
instance of: scholarly article
title: Limit cycles for the class of \(D\)-dimensional polynomial differential systems
zbMATH Open document ID: 1435.34034
DOI: 10.1155/2016/1868027
author: Zouhair Diab
author: Amar Makhlouf
published in: Journal of Applied Mathematics
publication date: 2019-03-18T00:00:00Z
review text: Summary: We perturb the differential system \(\dot{x}_1=-x_2(1+x_1)\), \(\dot{x}_2=x_1(1+x_1)\), and \(\dot{x}_k=0\) for \(k=3,\dots, d\) inside the class of all polynomial differential systems of degree \(n\) in \(\mathbb R^d\), and we prove that at most \(n^{d-1}\) limit cycles can be obtained for the perturbed system using the first-order averaging theory.
Mathematics Subject Classification ID: 34C07
zbMATH DE Number: 7037268
Wikidata QID: Q59125181
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/1868027
OpenAlex ID: W2295186892
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DBLP publication ID: journals/jam/DiabM16
description: scientific article; zbMATH DE number 7037268