Global topological properties of homogeneous vector fields in \(R^3\)

DOI10.1142/S0252959999000217zbMath0941.34019OpenAlexW2370851058MaRDI QIDQ1302279

Zhao Jun Liang, Lan-Sun Chen, Xin An Zhang

Publication date: 5 December 1999

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0252959999000217

zbMATH Keywords

flowunit spherehomogeneous polynomial vector fieldtangent vector fieldclassification of invariant cones

Mathematics Subject Classification ID

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) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Invariant parallels, invariant meridians and limit cycles of polynomial vector fields on some 2-dimensional algebraic tori in \(\mathbb R^3\) ⋮ Limit cycles, invariant meridians and parallels for polynomial vector fields on the torus ⋮ The global dynamics of a class of vector fields in \(\mathbb R^3\) ⋮ The closed orbits of a class of cubic vector fields in \(\mathbb{R}^3\) ⋮ Phase portraits for quadratic homogeneous polynomial vector fields on \(\mathbb S^{2}\)

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