Polynomial Liénard systems with a nilpotent global center

DOI10.1007/s12215-022-00850-8zbMath1528.34032MaRDI QIDQ6054089

Isaac A. García, Jaume Llibre

Publication date: 24 October 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

periodic orbitscenternilpotent singularityglobal center

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) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Cites Work

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• Some properties of planar polynomial systems of even degree
• Reversibility and classification of nilpotent centers
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• Singularities of vector fields
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• Qualitative theory of planar differential systems
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• Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point
• Symétrie et forme normale des centres et foyers dégénérés
• Geometric Configurations of Singularities of Planar Polynomial Differential Systems
• Nilpotent Global Centers of Linear Systems with Cubic Homogeneous Nonlinearities
• The center-focus problem and reversibility

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