On uniqueness of limit cycle for the equation \(\ddot x+f(x){\phi}(\dot x)\dot x+g(x)=0\)

DOI10.1016/S0022-247X(02)00384-0zbMath1087.34011OpenAlexW2086735442MaRDI QIDQ1406513

Jinjie Liu, Ji-Fa Jiang

Publication date: 4 September 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00384-0

zbMATH Keywords

Liénard equationLimit cycle

Mathematics Subject Classification ID

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

Cites Work

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• A necessary and sufficient condition for the existence of a unique nontrivial periodic solution to a class of equations of Lienards type
• Analysis of global bifurcation for a class of systems of degree five
• Sopra l'equazione di A. Lienard delle oscillazioni di rilassamento
• A general equation for relaxation oscillations
• Uniqueness of limit cycles in liénard-type equations
• Proof of the uniqueness theorem of limit cycles of generalized liénard equations

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