On Poincaré's fourth and fifth examples of limit cycles at infinity

DOI10.1216/RMJM/1181069943zbMath1056.34045OpenAlexW2019340699MaRDI QIDQ1430437

Roland K. W. Roeder

Publication date: 27 May 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069943

zbMATH Keywords

limit cyclepolynomial dynamical system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (3)

Critical points at infinity and blow up of solutions of autonomous polynomial differential systems via compactification ⋮ Sufficient and necessary center conditions for the Poincaré systems \(P(2, 2n) (n \leq 5)\) ⋮ The Lorenz System has a Global Repeller at Infinity

Cites Work

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