REMARKS ON THE ORBITAL ANALYTIC CLASSIFICATION OF GERMS OF VECTOR FIELDS

DOI10.1070/SM1984v049n01ABEH002700zbMath0541.32003MaRDI QIDQ3328818

P. M. Elizarov, Yulij S. Ilyashenko

Publication date: 1984

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

zbMATH Keywords

phase curvesmonodromy transformationsgerms of a vector fieldorbital analytic classification of germs of vector fieldsorbitally equivalent differential equations

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Germs of analytic sets, local parametrization (32B10) Ordinary differential equations in the complex domain (34M99) Other generalizations of function theory of one complex variable (32A30)

Related Items

Real-formal orbital rigidity for germs of real analytic vector fields on the real plane, A note on integrability and finite orbits for subgroups of \(\mathrm{Diff}(\mathbb C^n,0)\), Holonomy and equivalence of analytic foliations, On the linearization of certain singularities of Nijenhuis operators, Analytic classification of foliations induced by germs of holomorphic vector fields in \((\mathbb {C}^{n},0)\) with non-isolated singularities, Classification analytique des équations différentielles non linéaires résonnantes du premier ordre, Equivalence and semi-completude of foliations, On first integrals for holomorphic vector fields, Pairs of foliations and Mattei-Moussu's theorem, On the resolution of singularities of one-dimensional foliations on three-manifolds