The nilpotent part and distinguished form of resonant vector fields or diffeomorphisms

DOI10.5802/aif.1379zbMath0816.30005OpenAlexW2322111688MaRDI QIDQ1337589

Dana Schlomiuk, Jean Écalle

Publication date: 10 November 1994

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1993__43_5_1407_0

zbMATH Keywords

singularitiesnormal formsresurgent functions

Mathematics Subject Classification ID

Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Singularities of holomorphic vector fields and foliations (32S65) Local analytic geometry (32B99) Local complex singularities (32S05) Deformations of analytic structures (32G99) Asymptotic representations in the complex plane (30E15) Series expansions of functions of one complex variable (30B99)

Related Items

Isochronous centers of polynomial Hamiltonian systems and a conjecture of Jarque and Villadelprat, Normal forms and the problem of the center, Mould calculus

Cites Work

• Singularities that are inaccessible by geometry
• Algebraic Particular Integrals, Integrability and the Problem of the Center
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