A class of quadratic reversible systems with a center of genus one

DOI10.1016/j.chaos.2018.06.037zbMath1415.34061OpenAlexW2883248996MaRDI QIDQ2000316

Yanqin Xiong, Tonghua Zhang

Publication date: 28 June 2019

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2018.06.037

zbMATH Keywords

bifurcationhomoclinic loopphase portrait

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (2)

The Number of Limit Cycles Bifurcating from a Quadratic Reversible Center ⋮ Limit cycle bifurcations by perturbing a class of planar quintic vector fields

Cites Work

• Unnamed Item
• Unnamed Item
• A unified proof of the weakened Hilbert 16th problem for \(n=2\)
• The number and distributions of limit cycles for a class of cubic near-Hamiltonian systems
• Perturbations of quadratic centers of genus one
• The cyclicity of period annuli of some classes of reversible quadratic systems
• Quadratic systems with center and their perturbations
• Unfolding of a quadratic integrable system with two centers and two unbounded heteroclinic loops
• Perturbations of quadratic centers
• The cyclicity of quadratic reversible systems with a center of genus one and non-Morsean point
• On the number of limit cycles near a homoclinic loop with a nilpotent singular point
• Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields
• The number and distributions of limit cycles for a class of quintic near-Hamiltonian systems
• A Chebyshev criterion for Abelian integrals
• Algebraic Particular Integrals, Integrability and the Problem of the Center
• FOUR LIMIT CYCLES FROM PERTURBING QUADRATIC INTEGRABLE SYSTEMS BY QUADRATIC POLYNOMIALS

This page was built for publication: A class of quadratic reversible systems with a center of genus one