Holomorphic normal form of nonlinear perturbations of nilpotent vector fields

DOI10.1134/S1560354716040031zbMath1358.34098arXiv1606.07242MaRDI QIDQ327551

Freek Verstringe, Laurent Stolovitch

Publication date: 19 October 2016

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07242

zbMATH Keywords

fixed pointnormal formNewton methodcomplete integrabilityholomorphic vector fieldsmall divisorsanalytic invariant manifold

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Invariant manifolds for ordinary differential equations (34C45)

Related Items (3)

Vector potential normal form classification for completely integrable solenoidal nilpotent singularities ⋮ Analytic properties of the complete formal normal form for the Bogdanov–Takens singularity ^* ⋮ Equivariant decomposition of polynomial vector fields

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