Analytic normal forms for convergent saddle-node vector fields

DOI10.5802/AIF.2948zbMath1328.34091arXiv1307.2840OpenAlexW1896619691MaRDI QIDQ746896

Reinhard Schäfke, Loïc Teyssier

Publication date: 21 October 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2840

zbMATH Keywords

singularitiesnormal formsanalytic vector fieldseffective methods in differential equations

Mathematics Subject Classification ID

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) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (2)

Realization of analytic moduli for parabolic Dulac germs ⋮ Coalescing Complex Planar Stationary Points

Cites Work

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• Examples of non-conjugated holomorphic vector fields and foliations
• Homological equation and asymptotic cycles of a saddle-node singularity.
• Problèmes de modules pour des équations différentielles non linéaires du premier ordre
• Analytical classification of singular saddle-node vector fields
• Invariants of identity-tangent diffeomorphisms expanded as series of multitangents and multizetas
• [https://portal.mardi4nfdi.de/wiki/Publication:4950750 Sur l'int�gration des �quations diff�rentielles holomorphes r�duites en dimension deux]

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