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Algebraical limit cycles of polynomial vector fields on the plane

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Publication:1874752
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DOI10.1023/A:1012582809822zbMath1028.34032OpenAlexW53508079MaRDI QIDQ1874752

M. V. Dolov

Publication date: 25 May 2003

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

Full work available at URL: https://doi.org/10.1023/a:1012582809822


zbMATH Keywords

polynomial vector fieldalgebraic limit cycle


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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)








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