Finiteness theorems for limit cycles: a digest of the revised proof

DOI10.1070/IM8352zbMath1382.34032OpenAlexW2330001335MaRDI QIDQ2810937

Yulij S. Ilyashenko

Publication date: 6 June 2016

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8352

zbMATH Keywords

planar polynomial vector fieldtheorem for limit cycles

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (2)

On the number of limit cycles surrounding a unique singular point for polynomial differential systems of arbitrary degree ⋮ Convergence of formal Dulac series satisfying an algebraic ordinary differential equation

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