Rational Liénard systems with a center and an isochronous center

DOI10.1134/S0012266120010085zbMath1446.34054MaRDI QIDQ2188054

Alexander Rudenok

Publication date: 3 June 2020

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

zbMATH Keywords

isochronous centercenterrational Liénard systems

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)

Related Items (1)

Algebraic criterion for the existence of a center at a monodromic singular point of a polynomial Liénard system

Cites Work

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• Analytical theory of nonlinear oscillations. VII: The periods of the periodic solutions of the equation \(\ddot x+g(x)=0\)
• An algebraic approach to the classification of centers in polynomial Liénard systems
• On the classification of Liénard systems with amplitude-independent periods
• Generalized symmetry of the Liénard system
• Centers and isochronous centers of Liénard systems
• The center conditions for a Liénard system
• Isochronous Centers in Planar Polynomial Systems
• Sur les périodes des solutions de l'équation différentielle x + g(x) = 0
• Isochronicity via normal form

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