An estimate on the number of limit cycles via critical points of conditional extremum

DOI10.1023/B:DIEQ.0000017914.51618.21zbMath1076.34033OpenAlexW2087648066MaRDI QIDQ1778247

Leonid Cherkas

Publication date: 17 June 2005

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

Full work available at URL: https://doi.org/10.1023/b:dieq.0000017914.51618.21

zbMATH Keywords

polynomial systemnumber of limit cycles

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) 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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Reduction to transversality of curves in the construction of a Dulac function ⋮ The limit cycles of a second-order system of differential equations: the method of small forms

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