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A precise estimate on the number of limit cycles of autonomous systems on the plane

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Publication:1778206
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DOI10.1023/B:DIEQ.0000008407.53356.78zbMath1071.34031OpenAlexW2089820378MaRDI QIDQ1778206

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.0000008407.53356.78


zbMATH Keywords

constructive methoddiscontinuous Dulac function


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 (2)

Reduction to transversality of curves in the construction of a Dulac function ⋮ On an estimate of the number of limit cycles in a quadratic system







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