On some open problems in planar differential systems and Hilbert's 16th problem

DOI10.1016/j.chaos.2005.10.057zbMath1149.34023OpenAlexW1978707469MaRDI QIDQ2482593

Jaume Giné

Publication date: 17 April 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.10.057

zbMATH Keywords

isochronous centerlimit cycleinvariant algebraic curveHilbert's 16th problemcenter-focus problemplanar differential 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) Dynamics induced by flows and semiflows (37C10)

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