Composition of Lie transforms with rigorous estimates and applications to Hamiltonian perturbation theory
type: Item
instance of: scholarly article
title: Composition of Lie transforms with rigorous estimates and applications to Hamiltonian perturbation theory
zbMATH Open document ID: 0685.70014
DOI: 10.1007/BF00945008
author: Giancarlo Benettin
author: Francesco Fassò
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1989-01-01T00:00:00Z
Mathematics Subject Classification ID: 70H99
Mathematics Subject Classification ID: 22E70
Mathematics Subject Classification ID: 70K20
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 4123346
zbMATH Keywords: perturbation theory for nearly integrable Hamiltonian systems
zbMATH Keywords: Lie transforms
zbMATH Keywords: Diophantine frequencies
zbMATH Keywords: Nekhoroshev-like exponential estimates for the stability times
MaRDI profile type: Publication
cites work: Canonical transformations depending on a small parameter
cites work: Expansion formulae in canonical transformations depending on a small parameter
cites work: Perturbation method in the theory of nonlinear oscillations
cites work: On a perturbation theory using Lie transforms
cites work: Formal integrals for an autonomous Hamiltonian system near an equilibrium point
cites work: A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
cites work: Stability of motions near resonances in quasi-integrable Hamiltonian systems
cites work: Lie series and invariant functions for analytic symplectic maps
cites work: Note on sums containing small divisors
full work available at URL: https://doi.org/10.1007/bf00945008
OpenAlex ID: W2048367722
description: scientific article; zbMATH DE number 4123346