Centers and isochronous centers of Liénard systems

DOI10.1134/S0012266119030017zbMath1440.34028OpenAlexW2942084358MaRDI QIDQ2313323

V. V. Amel'kin, Alexander Rudenok

Publication date: 19 July 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266119030017

zbMATH Keywords

isochronous centercenterholomorphic Liénard system

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) Nonlinear ordinary differential equations and systems (34A34)

Related Items (4)

Rational Liénard systems with a center and an isochronous center ⋮ RESEARCH ON THE COMPOSITION CENTER OF A CLASS OF RIGID DIFFERENTIAL SYSTEMS ⋮ Centers and isochronous centers of Newton systems with force function quadratic in velocities ⋮ Algebraic criterion for the existence of a center at a monodromic singular point of a polynomial Liénard system

Cites Work

• On the order of strong isochronicity of plane dynamical systems
• An algebraic approach to the classification of centers in polynomial Liénard systems
• On period functions of Liénard systems
• On one conjecture in the theory of isochronous Liénard systems
• On the classification of Liénard systems with amplitude-independent periods
• Generalized symmetry of the Liénard system
• Strong isochronicity of the Liénard system
• Isochronicity via normal form
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