On the Center of the Generalized Liénard System

DOI10.1023/B:CMAJ.0000027236.52900.55zbMath1021.34023MaRDI QIDQ4800808

Qimin He, Cheng-Dong Zhao

Publication date: 3 April 2003

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30747

zbMATH Keywords

global centergeneralized Liénard systemlocal centerthe differential inequality theoremthe first approximation

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)

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Bifurcations of Critical Periods for a Class of Quintic Liénard Equation, A simple method for constructing non-liouvillian first integrals of autonomous planar systems

Cites Work

• On the center of the Liénard equation
• On the conditions of a center of the Liénard equation
• On periodic solutions of the system \(\dot x = y - F(x),\dot y = - g(x)\)
• The global centre for the Liénard system
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