Hopf bifurcation for degenerate singular points of multiplicity \(2n - 1\) in dimension 3
type: Item
instance of: scholarly article
title: Hopf bifurcation for degenerate singular points of multiplicity \(2n - 1\) in dimension 3
zbMATH Open document ID: 1143.37041
author: Jaume Llibre
author: Hao Wu
published in: Bulletin des Sciences Mathématiques
publication date: 2008-05-15T00:00:00Z
review text: The authors study the Andronov-Hopf bifurcation for a class of degenerate singular points of multiplicity \(2n-1\) for a 3-dimensional system of differential equations of first order by averaging theory. It is proved that for a small bifurcation parameter (\(2n-1\)) limit cycles can bifurcate from the origin and under some additional restrictions even \((3n-1)\) ones.
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 37G10
Mathematics Subject Classification ID: 34C29
zbMATH DE Number: 5275731
zbMATH Keywords: limit cycles
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: averaging theory
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: j.bulsci.2007.01.003
OpenAlex ID: W2061031876
cites work: Q4728647
cites work: Q3308384
cites work: Averaging methods for finding periodic orbits via Brouwer degree.
cites work: Averaging methods in nonlinear dynamical systems
cites work: Q4714154
DOI: 10.1016/J.BULSCI.2007.01.003
description: scientific article; zbMATH DE number 5275731