The limit cycles of a second-order system of differential equations: the method of small forms

DOI10.3103/S1066369X09080106zbMath1192.34043MaRDI QIDQ1037082

M. T. Teryokhin

Publication date: 13 November 2009

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

zbMATH Keywords

limit cyclepolynomialequilibrium pointsimple rootscontraction operatorroots of even and odd multiplicity

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)

Cites Work

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