Cubic Liénard equations with quadratic damping. II.

DOI10.1007/s102550200008zbMath1034.34035OpenAlexW1973069571MaRDI QIDQ1611086

Yuquan Wang, Zhu-jun Jing

Publication date: 15 September 2002

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s102550200008

zbMATH Keywords

limit cycleHopf bifurcationcubic Liénard equation

Mathematics Subject Classification ID

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

Related Items (2)

Quartic Liénard equations with linear damping ⋮ Number of location of limit cycles in a class of perturbed polynomial systems

Cites Work

• Dynamics retrospective: Great problems, attempts that failed
• Quadratic Liénard equations with quadratic damping
• Cubic Lienard equation with quadratic damping. I
• Mathematical problems for the next century
• Cubic Lienard equations with linear damping
• Proof of the uniqueness theorem of limit cycles of generalized liénard equations
• Small-amplitude limit cycles of certain Liénard systems
• On the uniqueness of limit cycles surrounding one or more singularities for Liénard equations
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