Analytical classification of saddle-node vector fields.

DOI10.1016/S1631-073X(03)00134-1zbMath1257.37031OpenAlexW2088587329MaRDI QIDQ1417110

Loïc Teyssier

Publication date: 18 December 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00134-1

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (3)

Doubly-resonant saddle-nodes in (\protect \mathbb{C}^3,0) and the fixed singularity at infinity in Painlevé equations: analytic classification ⋮ Analytical classification of saddle-node vector fields. ⋮ Examples of non-conjugated holomorphic vector fields and foliations

Cites Work

• Problèmes de modules pour des équations différentielles non linéaires du premier ordre
• Analytic classification of typical degenerate elementary singular points of the germs of holomorphic vector fields on the complex plane
• Analytical classification of saddle-node vector fields.
• Summability of divergent series
• An analytic classification of saddle resonant singular points of holomorphic vector fields in the complex plane
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