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Polynomial and rational first integrals for planar homogeneous polynomial differential systems

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Publication:482175
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DOI10.5565/PUBLMAT_Extra14_14zbMath1310.34003OpenAlexW2143046461MaRDI QIDQ482175

Jaume Llibre, Jaume Giné, Maite Grau

Publication date: 19 December 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5565/publmat_extra14_14


zbMATH Keywords

first integralintegrability problempolynomial differential equations


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05)


Related Items (1)

Algebraic integrability of planar polynomial vector fields by extension to Hirzebruch surfaces






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