Generalized symmetry of the Liénard system

DOI10.1134/S0012266119020046zbMath1423.34033OpenAlexW2933453736MaRDI QIDQ2002674

Alexander Rudenok

Publication date: 12 July 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266119020046

zbMATH Keywords

Liénard systemcenterisochronicitygeneralized symmetry

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) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (3)

Rational Liénard systems with a center and an isochronous center ⋮ Centers and isochronous centers of Liénard systems ⋮ Algebraic criterion for the existence of a center at a monodromic singular point of a polynomial Liénard system

Cites Work

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• Strong isochronicity of the Liénard system
• The center conditions for a Liénard system
• Solution of the center-focus problem for a cubic system reducible to a Liénard system
• Isochronous Centers in Planar Polynomial Systems
• Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials
• Centers and foci for a class of cubic systems
• Isochronicity via normal form

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