On the center criterion of planar quasi-homogeneous polynomial differential systems

DOI10.1016/j.bulsci.2018.04.001zbMath1407.37079OpenAlexW2797478274WikidataQ129988200 ScholiaQ129988200MaRDI QIDQ1670377

Jiang Yu, Li-Wei Zhang

Publication date: 5 September 2018

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2018.04.001

zbMATH Keywords

centerpolynomial differential systemminimal weight vector

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Normal forms for dynamical systems (37G05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (2)

Global dynamics and bifurcation of planar piecewise smooth quadratic quasi-homogeneous differential systems ⋮ Quasi-homogeneous polynomial differential systems having a center at the origin

Cites Work

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• Planar quasi-homogeneous polynomial systems with a given weight degree
• Centers of quasi-homogeneous polynomial planar systems
• Cubic homogeneous polynomial centers
• Center of planar quintic quasi-homogeneous polynomial differential systems
• Structural stability of planar quasihomogeneous vector fields
• 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
• Geometric reasoning with logic and algebra
• Algebraic and topological classification of the homogeneous cubic vector fields in the plane
• Limit cycles bifurcating from the period annulus of quasi-homogeneous centers
• Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial
• Quadratic systems with center and their perturbations
• The classification of reversible cubic systems with center
• Recent advances on determining the number of real roots of parametric polynomials
• Cubic vector fields symmetric with respect to a center
• Planar quasi-homogeneous polynomial differential systems and their integrability
• Centers of quasi-homogeneous polynomial differential equations of degree three
• Algebraic Particular Integrals, Integrability and the Problem of the Center
• The Center and Cyclicity Problems
• Probleme General de la Stabilite du Mouvement. (AM-17)
• Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials

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