On the number of limit cycles of planar quadratic vector fields

DOI10.1134/S1064562409050251zbMath1192.34042OpenAlexW1998110975MaRDI QIDQ1048553

A. Yu. Fishkin

Publication date: 12 January 2010

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

Full work available at URL: https://doi.org/10.1134/s1064562409050251

zbMATH Keywords

limit cyclesingular pointquadratic vector fieldKapteyn normal formrestricted Hilbert's 16th problem

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

• Unnamed Item
• Hilbert's 16th problem for quadratic vector fields
• Bifurcation of planar vector fields and Hilbert's sixteenth problem
• Counting real zeros of analytic functions satisfying linear ordinary differential equations
• A survey of quadratic systems
• Centennial History of Hilbert's 16th Problem

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