Normal-size limit cycles of quadratic systems with a structurally unstable focus

DOI10.1023/B:DIEQ.0000049831.36933.b7zbMath1084.34039OpenAlexW1993851113MaRDI QIDQ2387992

I. L. Shevtsov, Leonid Cherkas

Publication date: 5 September 2005

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

Full work available at URL: https://doi.org/10.1023/b:dieq.0000049831.36933.b7

zbMATH Keywords

limit cyclequadratic systemweak focus

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) 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)

Quadratic systems with maximum number of limit cycles ⋮ Dulac-Cherkas function in a neighborhood of a structurally unstable focus of an autonomous polynomial system on the plane

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