Algebraic and topological classification of homogeneous quartic vector fields in the plane

DOI10.1007/S10231-021-01106-5zbMath1497.37029OpenAlexW3156015756MaRDI QIDQ2118005

Claudio Vidal, Jaume Llibre, Y. Paulina Martínez

Publication date: 22 March 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-021-01106-5

zbMATH Keywords

phase portraitshomogeneous polynomial vector fieldsquartic homogeneous polynomial differential systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10)

Cites Work

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• Cofactors and equilibria for polynomial vector fields
• Classification of Continuous Flows on 2-Manifolds
• Generic Properties of Polynomial Vector Fields at Infinity
• Global Structure of Ordinary Differential Equations in the Plane

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