Global centers of a class of cubic polynomial differential systems

DOI10.1007/S12215-024-01034-2MaRDI QIDQ6597485

Jaume Llibre, Gabriel Rondón

Publication date: 3 September 2024

Published in: Rendiconti del Circolo Matematico di Palermo (Search for Journal in Brave)

zbMATH Keywords

global centerspolynomial differential equationsvertical blow-up

Mathematics Subject Classification ID

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

Cites Work

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• Computing integrability conditions for a cubic differential system
• Some properties of planar polynomial systems of even degree
• The centre conditions for a certain cubic system
• Détermination et intégration d'une certaine classe d'équations différentielles ayant pour point singulier un centre.
• 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
• Bounded Polynomial Vector Fields
• Algorithmic Derivation of Centre Conditions
• Mémoire sur les courbes définies par une équation différentielle.
• Reversible global centres with quintic homogeneous nonlinearities
• On the global center of planar polynomial differential systems and the related problems

Related Items (1)

Global nilpotent reversible centers with cubic nonlinearities symmetric with respect to the \(y\)-axis

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