Global centers of the generalized polynomial Liénard differential systems

DOI10.1016/j.jde.2022.05.013zbMath1501.34031OpenAlexW4281572888MaRDI QIDQ2143958

Jaume Llibre, Claudia Valls

Publication date: 31 May 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2022.05.013

zbMATH Keywords

global centerLiénard differential 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 (2)

Dynamics of polynomial Rayleigh-Duffing system near infinity and its global phase portraits with a center ⋮ Nilpotent center conditions in cubic switching polynomial Liénard systems by higher-order analysis

Cites Work

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• Some properties of planar polynomial systems of even degree
• An algebraic approach to the classification of centers in polynomial Liénard systems
• Polynomial differential systems with even degree have no global centers
• Qualitative theory of planar differential systems
• Linear type global centers of linear systems with cubic homogeneous nonlinearities
• A SURVEY ON THE BLOW UP TECHNIQUE
• Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities

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