Bifurcation of limit cycles for a quartic near-Hamiltonian system by perturbing a nilpotent center
type: Item
instance of: scholarly article
title: Bifurcation of limit cycles for a quartic near-Hamiltonian system by perturbing a nilpotent center
zbMATH Open document ID: 1274.34116
author: Jiao Jiang
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-02-19T00:00:00Z
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 37C27
Mathematics Subject Classification ID: 37G15
zbMATH DE Number: 5673288
zbMATH Keywords: near-Hamiltonian system
zbMATH Keywords: nilpotent center
zbMATH Keywords: Hopf bifurcation
zbMATH Keywords: limit cycle
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.10.051
OpenAlex ID: W2054871509
cites work: The cyclicity of period annuli of degenerate quadratic Hamiltonian systems with elliptic segment loops
cites work: Normal forms near a saddle-node and applications to finite cyclicity of graphics
cites work: Hilbert's 16th problem for quadratic systems and cyclicity of elementary graphics
cites work: Hilbert's 16th problem for quadratic vector fields
cites work: Elementary graphics of cyclicity 1 and 2
cites work: Bifurcations of cuspidal loops
cites work: Introduction to analyzable functions and constructive proof of the Dulac conjecture
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Cyclicity of planar homoclinic loops and quadratic integrable systems
cites work: On Hopf cyclicity of planar systems
cites work: On the number of limit cycles in double homoclinic bifurcations
cites work: Q5488695
cites work: On the stability of double homoclinic and heteroclinic cycles.
cites work: Q3930015
cites work: Finiteness theorems for limit cycles
cites work: Elements of applied bifurcation theory
cites work: HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
cites work: Q4548038
cites work: On the number of limit cycles for some perturbed Hamiltonian polynomial systems
cites work: Degenerate and non-trivial hyperbolic polycycles with two vertices
cites work: Q4310120
cites work: Hilbert's 16-th problem for quadratic vector fields and cyclicity of graphics
cites work: PP-graphics with a nilpotent elliptic singularity in quadratic systems and Hilbert's 16th problem.
cites work: Global bifurcations and chaos. Analytical methods
cites work: Finite cyclicity of graphics with a nilpotent singularity of saddle or elliptic type
DOI: 10.1016/J.JMAA.2009.10.051
description: scientific article; zbMATH DE number 5673288