Doubly-resonant saddle-nodes in (\protect \mathbb{C}^3,0) and the fixed singularity at infinity in Painlevé equations: analytic classification

DOI10.5802/aif.3197zbMath1406.34106arXiv1709.10333OpenAlexW2902069902MaRDI QIDQ4610355

Amaury Bittmann

Publication date: 15 January 2019

Published in: Annales de l’institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.10333

zbMATH Keywords

Painlevé equationsirregular singularityanalytic classificationsingular vector fieldresonant singularityStokes diffeomorphisms

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

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