CYCLICITY OF PERIOD ANNULUS OF A QUADRATIC REVERSIBLE SYSTEM WITH DEGENERATE CRITICAL POINT

DOI10.1142/S021812741350106XzbMath1272.34040MaRDI QIDQ2849232

Haihua Liang, Jianfeng Huang

Publication date: 17 September 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

limit cycleabelian integralquadratic reversible systemquadratic perturbations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (3)

Quadratic perturbations of a class of quadratic reversible center of genus one ⋮ Estimating the Number of Zeros for Abelian Integrals of Quadratic Reversible Centers with Orbits Formed by Higher-Order Curves ⋮ High-Order Analysis of Global Bifurcations in a Codimension-Three Takens–Bogdanov Singularity in Reversible Systems

Cites Work

• Quadratic perturbations of a class of quadratic reversible center of genus one
• Limit cycles bifurcated from a class of quadratic reversible center of genus one
• The cyclicity and period function of a class of quadratic reversible Lotka-Volterra system of genus one
• Bifurcation of limit cycles from quadratic isochrones
• A unified proof of the weakened Hilbert 16th problem for \(n=2\)
• Perturbations of quadratic centers of genus one
• Quadratic centers defining elliptic surfaces
• Quadratic perturbations of quadratic codimension-four centers
• Quadratic perturbations of a class of quadratic reversible systems with two centers
• Quadratic systems with center and their perturbations
• Perturbations of quadratic centers
• The cyclicity of the period annulus of the quadratic Hamiltonian triangle
• A Chebyshev criterion for Abelian integrals
• On the number of limit cycles in quadratic perturbations of quadratic codimension-four centres
• The cyclicity of period annulus of a quadratic reversible Lotka–Volterra system
• On the Number of Limit Cycles in Perturbations of Quadratic Hamiltonian Systems
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
• Bifurcations of limit cycles from quadratic non-Hamiltonian systems with two centres and two unbounded heteroclinic loops
• Abelian integrals and limit cycles

This page was built for publication: CYCLICITY OF PERIOD ANNULUS OF A QUADRATIC REVERSIBLE SYSTEM WITH DEGENERATE CRITICAL POINT