Normal forms with exponentially small remainder and Gevrey normalization for vector fields with a nilpotent linear part

DOI10.5802/aif.2747zbMath1278.37044arXiv1110.3810OpenAlexW2964255589MaRDI QIDQ1948154

Patrick Bonckaert, Freek Verstringe

Publication date: 2 May 2013

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

Full work available at URL: https://arxiv.org/abs/1110.3810

zbMATH Keywords

normal formsrepresentation theoryGevrey normalizationnilpotent linear part

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05) Dynamics induced by flows and semiflows (37C10)

Related Items (2)

Holomorphic normal form of nonlinear perturbations of nilpotent vector fields ⋮ Analytic properties of the complete formal normal form for the Bogdanov–Takens singularity ^*

Cites Work

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• A simple global characterization for normal forms of singular vector fields
• The analytic and formal normal form for the nilpotent singularity
• Polynomial normal forms with exponentially small remainder for analytic vector fields
• Singularities of vector fields
• Divergence and summability of normal forms of systems of differential equations with nilpotent linear part
• A preparation theorem for codimension-one foliations
• Multidimensional formal Takens normal form
• Normal forms of analytic perturbations of quasihomogeneous vector fields: Rigidity, invariant analytic sets and exponentially small approximation
• Stanley Decomposition for Coupled Takens–Bogdanov Systems
• Normal Forms and Unfoldings for Local Dynamical Systems

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