Polynomial differential systems with even degree have no global centers

DOI10.1016/J.JMAA.2021.125281zbMath1480.34044OpenAlexW3158098994MaRDI QIDQ2038174

Jaume Llibre, Claudia Valls

Publication date: 9 July 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125281

zbMATH Keywords

Poincaré compactificationglobal centerspolynomial differential system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (4)

Global centers of the generalized polynomial Liénard differential systems ⋮ Polynomial Liénard systems with a nilpotent global center ⋮ Kukles systems of degree three with global centers ⋮ Reversible global centres with quintic homogeneous nonlinearities

Cites Work

• Unnamed Item
• Some properties of planar polynomial systems of even degree
• Classification and Analysis of two-dimensional real homogeneous quadratic differential equation systems
• Quadratic Hamiltonian vector fields
• New family of cubic Hamiltonian centers
• A correction to the paper ``Quadratic Hamiltonian vector fields
• Qualitative theory of planar differential systems
• Algebraic Particular Integrals, Integrability and the Problem of the Center

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