On the 16th Hilbert problem for algebraic limit cycles

DOI10.1016/j.jde.2009.11.023zbMath1204.34038OpenAlexW2046126146MaRDI QIDQ2379272

Natalia Sadovskaia, Jaume Llibre, Rafael O. Ramírez

Publication date: 19 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.jde.2009.11.023

zbMATH Keywords

limit cyclespolynomial vector fields16th Hilbert problemalgebraic limit cycles

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

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