Invariants of polynomial vector fields

DOI10.1016/j.jde.2023.05.024zbMath1526.34002MaRDI QIDQ6155303

Claudia Valls, Jaume Llibre

Publication date: 12 June 2023

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

zbMATH Keywords

invariantsinvolutionspolynomial systemsfirst integrals

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Cites Work

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• An improvement to Darboux integrability theorem for systems having a center
• Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity
• Qualitative theory of planar differential systems
• Elementary First Integrals of Differential Equations
• Liouvillian First Integrals of Differential Equations
• Invariant algebraic curves and conditions for a centre
• Proximity inequalities and bounds for the degree of invariant curves by foliations of ℙ_{ℂ}²

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