Limit cycles of a class of cubic Liénard equations

DOI10.1007/s12346-011-0045-xzbMath1272.34038OpenAlexW1975702973MaRDI QIDQ1936522

Shuliang Shui, Huatao Jin

Publication date: 5 February 2013

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-011-0045-x

zbMATH Keywords

limit cycleHopf bifurcationLiénard equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) 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 (1)

Hopf bifurcation for a \(\varphi \)-Laplacian Liénard system

Cites Work

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• A general equation for relaxation oscillations
• The number of small-amplitude limit cycles of Liénard equations
• Small-amplitude limit cycles of certain Liénard systems
• Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces

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