Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system
type: Item
instance of: scholarly article
title: Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system
zbMATH Open document ID: 1477.37061
author: Sara Kassa
author: Jaume Llibre
author: Amar Makhlouf
published in: São Paulo Journal of Mathematical Sciences
publication date: 2021-07-28T00:00:00Z
full work available at URL: https://ddd.uab.cat/record/239769
review text: In this paper, necessary and sufficient conditions for the existence of two or one limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional Lypschizian differential systems are provided. The authors prove that these limit cycles persist when the differential system has no equilibria. Additionally, they provide an estimation of the size of the bifurcating small limit cycles and characterize their kind of stability or instability.
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 34C29
Mathematics Subject Classification ID: 37C75
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C07
zbMATH DE Number: 7375696
zbMATH Keywords: continuous differential system
zbMATH Keywords: periodic orbit
zbMATH Keywords: limit cycle
zbMATH Keywords: averaging theory
zbMATH Keywords: zero-Hopf bifurcation
zbMATH Keywords: zero-Hopf equilibrium
reviewed by: Valery A. Gaiko
MaRDI profile type: Publication
OpenAlex ID: W3130258069
Wikidata QID: Q107169757
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DOI: 10.1007/S40863-021-00212-9
description: scientific article; zbMATH DE number 7375696