Global phase portraits of a degenerate Bogdanov-Takens system with symmetry. II
type: Item
instance of: scholarly article
title: Global phase portraits of a degenerate Bogdanov-Takens system with symmetry. II
zbMATH Open document ID: 1405.34023
author: Hebai Chen
author: Xingwu Chen
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2018-12-27T00:00:00Z
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C37
zbMATH DE Number: 6996869
zbMATH Keywords: bifurcation
zbMATH Keywords: degenerate Bogdanov-Takens system
zbMATH Keywords: figure-eight loop
zbMATH Keywords: global phase portrait
zbMATH Keywords: limit cycle
MaRDI profile type: Publication
full work available at URL: dcdsb.2018130
OpenAlex ID: W2587889626
cites work: Multiparametric Bifurcation Analysis of a Basic Two-Stage Population Model
cites work: Applications of centre manifold theory
cites work: Global Dynamics of a Plant-Herbivore Model with Toxin-Determined Functional Response
cites work: Global phase portrait of a degenerate Bogdanov-Takens system with symmetry
cites work: Q4305607
cites work: On the uniqueness of limit cycles surrounding one or more singularities for Liénard equations
cites work: Quadratic Liénard equations with quadratic damping
cites work: Perturbations from an elliptic Hamiltonian of degree four. I: Saddle loop and two saddle cycles
cites work: Perturbations from an elliptic Hamiltonian of degree four. II: Cuspidal loop
cites work: Perturbation from an elliptic Hamiltonian of degree four. III: global centre.
cites work: Perturbation from an elliptic Hamiltonian of degree four. IV: Figure eight-loop.
cites work: Qualitative theory of planar differential systems
cites work: Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals
cites work: Cubic Lienard equations with linear damping
cites work: A proof of Perko's conjectures for the Bogdanov-Takens system
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Q3871201
cites work: Phase portraits and bifurcations of the non-linear oscillator: \(x''+(\alpha+\gamma x^ 2)x'+\beta x+\delta x^ 3=0\)
cites work: Global study of a family of cubic Liénard equations
cites work: Elements of applied bifurcation theory
cites work: PRACTICAL COMPUTATION OF NORMAL FORMS ON CENTER MANIFOLDS AT DEGENERATE BOGDANOV–TAKENS BIFURCATIONS
cites work: Uniqueness of limit cycles for Liénard differential equations of degree four
cites work: Q4135884
cites work: A Global Analysis of the Bogdanov–Takens System
cites work: Asymptotic expansion of the heteroclinic bifurcation for the planar normal form of the 1:2 resonance
cites work: Global analysis in a predator-prey system with nonmonotonic functional response
cites work: Q5335550
cites work: Q4004269
DOI: 10.3934/DCDSB.2018130
description: scientific article; zbMATH DE number 6996869