On a class of complete polynomial vector fields in the plane

DOI10.1016/0022-0396(86)90113-0zbMath0589.58020OpenAlexW2111317070MaRDI QIDQ1074203

Carmen C. Chicone, Jorge Sotomayor

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90113-0

zbMATH Keywords

Poincaré spherecomplete polynomial fieldorbits with limitpoints on the equator

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Dynamics induced by flows and semiflows (37C10) Ordinary differential equations and systems on manifolds (34C40) Vector distributions (subbundles of the tangent bundles) (58A30)

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Global asymptotic stability on Euclidean spaces, Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones, HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS, On completeness of quadratic systems, The bifurcation of the equatorial periodic orbit of the planar polynomial vector fields, Unnamed Item, Coherent Structures in a Population Model for Mussel-Algae Interaction

Cites Work

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• Polynomial flows in the plane
• Morse Theory. (AM-51)
• A Note on the Number of Limit Cycles in Certain Two-Dimensional Systems
• Generic Properties of Polynomial Vector Fields at Infinity
• Invariant manifolds