Exponentially long time stability for non-linearizable analytic germs of \(({\mathbb C}^n,0)\)..

DOI10.5802/aif.2040zbMath1063.37043arXivmath/0207006OpenAlexW1891099780MaRDI QIDQ1774052

Timoteo Carletti

Publication date: 29 April 2005

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

Full work available at URL: https://arxiv.org/abs/math/0207006

zbMATH Keywords

Gevrey classeffective stabilitySiegel center problemBruno conditionNekoroshev-like estimates

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (3)

TYZ expansion for the Kepler manifold ⋮ Simultaneous reduction to normal forms of commuting singular vector fields with linear parts having Jordan blocks ⋮ Linearization of holomorphic germs with quasi-Brjuno fixed points

Cites Work

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• Sur les dynamiques holomorphes non linéarisables et une conjecture de V. I. Arnold
• Linearization of analytic and non-analytic germs of diffeomorphisms of $({\mathbb C},0)$

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