Center Problem for Quasi-Homogeneous Polynomial Systems with a Given Weight Degree

DOI10.1142/S0218127418501742zbMath1412.34115OpenAlexW2910066915MaRDI QIDQ4611186

Yanqin Xiong, Shimin Li, Jingzheng Li, Jianqiang Hu

Publication date: 24 January 2019

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

Full work available at URL: https://doi.org/10.1142/s0218127418501742

zbMATH Keywords

centerquasi-homogeneous polynomial systemweight degree

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)

Related Items (2)

Quasi-homogeneous polynomial differential systems having a center at the origin ⋮ Number of Limit Cycles from a Class of Perturbed Piecewise Polynomial Systems

Cites Work

• Planar quasi-homogeneous polynomial systems with a given weight degree
• Center of planar quintic quasi-homogeneous polynomial differential systems
• Limit cycles bifurcating from planar polynomial quasi-homogeneous centers
• Classification of global phase portraits of planar quartic quasi-homogeneous polynomial differential systems
• On the centers of the weight-homogeneous polynomial vector fields on the plane
• Algebraic and topological classification of the homogeneous cubic vector fields in the plane
• Estimating the number of limit cycles in polynomial systems
• Limit cycles bifurcating from the period annulus of quasi-homogeneous centers
• On the cyclicity of weight-homogeneous centers
• Perturbation from an elliptic Hamiltonian of degree four. IV: Figure eight-loop.
• New lower bounds for the Hilbert number of polynomial systems of Liénard type
• Planar quasi-homogeneous polynomial differential systems and their integrability
• Centers of quasi-homogeneous polynomial differential equations of degree three
• Equivalence of the Melnikov function method and the averaging method
• Center Problems and Limit Cycle Bifurcations in a Class of Quasi-Homogeneous Systems

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