Twin polynomial vector fields of arbitrary degree

DOI10.1007/S00574-021-00259-4zbMath1495.34054OpenAlexW3160976874MaRDI QIDQ2115186

Jaume Llibre, Claudia Valls

Publication date: 15 March 2022

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-021-00259-4

zbMATH Keywords

singular pointspolynomial differential systemsEuler-Jacobi formula

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) Stability of solutions to ordinary differential equations (34D20)

Cites Work

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• Fibers of the Baum-Bott map for foliations of degree two on \(\mathbb P^2\)
• Twin vector fields and independence of spectra for quadratic vector fields
• A fixed-point theorem for endomorphisms of the projective space with applications to algebraic foliations
• Cayley-Bacharach theorems and conjectures

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