Bounded polynomial vector fields in \(\mathbb{R}^2\) and \(\mathbb{R}^n\)

DOI10.1016/J.JDE.2019.10.023zbMath1436.34024OpenAlexW2981936582MaRDI QIDQ2293689

Luis Barreira, Claudia Valls, Jaume Llibre

Publication date: 5 February 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2019.10.023

zbMATH Keywords

topological indexPoincaré compactificationbounded polynomial vector fields

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (2)

On the indices of singular points for planar bounded piecewise smooth polynomial vector field ⋮ Qualitative geometric analysis of traveling wave solutions of the modified equal width Burgers equation

Cites Work

• Weak focus, limit cycles, and bifurcations for bounded quadratic systems
• Local bifurcations and a survey of bounded quadratic systems
• On bounded vector fields
• Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems
• Totally bounded differential polynomial systems in \(\mathbb{R}^2\)
• Qualitative theory of planar differential systems
• A survey of quadratic systems
• Bounded quadratic systems in the plane
• Bounded Polynomial Vector Fields
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• Unnamed Item

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