How to estimate the number of limit cycles in Liénard systems with a small parameter

DOI10.1134/S001226611102008XzbMATH Open1270.34051OpenAlexW2003556204MaRDI QIDQ641965

O. N. Malysheva, Leonid Cherkas

Publication date: 25 October 2011

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

Full work available at URL: https://doi.org/10.1134/s001226611102008x

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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (2)

Dulac-Cherkas function in a neighborhood of a structurally unstable focus of an autonomous polynomial system on the plane ⋮ On the determination of exact number of limit cycles in Lienard Systems

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