The completeness of a polynomial vector field is determined by a transcendental trajectory

DOI10.1016/J.JDE.2005.10.004zbMath1108.32012OpenAlexW2080550780MaRDI QIDQ2497921

Alvaro Bustinduy

Publication date: 4 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.jde.2005.10.004

zbMATH Keywords

polynomial vector fieldscomplete vector fieldsentire flowtranscendental trajectories

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Related Items (2)

Proper trajectories of type \({\mathbb{C}^{\ast}}\) of a polynomial vector field on \({\mathbb{C}^2}\) ⋮ Completeness is determined by any non-algebraic trajectory

Cites Work

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• Problèmes de modules pour des équations différentielles non linéaires du premier ordre
• On proper integral curves of polynomial vector fields
• A remark on parabolic projective foliations
• Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
• Limits of complete holomorphic vector fields
• Fonctions entières qui se reduisent à certains polynômes. I
• Sur les opérations holomorphes du groupe additif complexe sur l'espace de deux variables complexes
• On the entire solutions of a polynomial vector field on C^2

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