Bifurcation of limit cycles from a hyper-elliptic Hamiltonian system with a double heteroclinic loops
type: Item
instance of: scholarly article
title: Bifurcation of limit cycles from a hyper-elliptic Hamiltonian system with a double heteroclinic loops
zbMATH Open document ID: 1377.34040
DOI: 10.1186/1687-1847-2012-224
published in: Advances in Difference Equations
publication date: 2018-01-12T00:00:00Z
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C07
Mathematics Subject Classification ID: 34C08
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 6825855
zbMATH Keywords: limit cycle
zbMATH Keywords: Liénard system
zbMATH Keywords: Chebyshev system
zbMATH Keywords: heteroclinic loops
zbMATH Keywords: bifurcation
Wikidata QID: Q59290123
author: Xianbo Sun
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1847-2012-224
OpenAlex ID: W2116229684
cites work: Abelian integrals and limit cycles
cites work: HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
cites work: Limit cycles of differential equations
cites work: Lower bounds for the Hilbert number of polynomial systems
cites work: Cubic Lienard equations with linear damping
cites work: Small-amplitude limit cycles in polynomial Liénard systems
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: Perturbations of symmetric elliptic Hamiltonians of degree four
cites work: On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems with one nilpotent saddle
cites work: Bifurcations of limit cycles from quintic Hamiltonian systems with an eye-figure loop
cites work: Limit cycle bifurcations of some Liénard systems
cites work: LIMIT CYCLE BIFURCATIONS OF SOME LIÉNARD SYSTEMS WITH A NILPOTENT CUSP
cites work: Computation of expansion coefficients of Melnikov functions near a nilpotent center
cites work: Bifurcations of limit cycles for a quintic Hamiltonian system with a double cuspidal loop
cites work: A Chebyshev criterion for Abelian integrals
cites work: Limit cycles of some polynomial Liénard systems
cites work: On the zeros of the Abelian integrals for a class of Liénard systems
cites work: Bifurcations of limit cycles from quintic Hamiltonian systems with an eye-figure loop. II
cites work: Q4399938
cites work: A criterion for determining the monotonicity of the ratio of two Abelian integrals
description: scientific article; zbMATH DE number 6825855