Studying of behavior at infinity of vector fields on Poincaré's sphere: revisited

DOI10.1007/s12346-015-0176-6zbMath1343.34076OpenAlexW2277790927MaRDI QIDQ290307

Shakhzod Suvanov, Asliddin Tilavov, Abdulla A. Azamov

Publication date: 1 June 2016

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-015-0176-6

zbMATH Keywords

vector fieldprojective spacecomplete integrabilityPfaffianbehavior at infinityLefschetz's equationPoincaré circlepolynomial dynamical system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Geometric methods in ordinary differential equations (34A26) Ordinary differential equations and systems on manifolds (34C40)

Related Items (3)

Dynamics of the cubic Darboux systems ⋮ Poincaré compactification for non-polynomial vector fields ⋮ An existence theorem and an approximate solution method for a Pfaff equation with continuous coefficients

Cites Work

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