Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems
type: Item
instance of: scholarly article
title: Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems
zbMATH Open document ID: 0928.37017
author: Giancarlo Benettin
author: Francesco Fassò
author: Massimiliano Guzzo
published in: Communications in Mathematical Physics
publication date: 2000-01-16T00:00:00Z
review text: The paper is devoted to prove the Nekhoroshev conjecture [see \textit{N. N. Nekhoroshev}, Usp. Mat. Nauk 32, No. 6, 5-66 (1977; Zbl 0389.70028) (Sect.2.2)] about the exponential long time stability of elliptic equilibria of Hamiltonian systems without Diophantine assumptions on frequencies. These frequencies are assumed to be nonresonant up to the order 4 and some conditions on the higher order terms of the Hamiltonian which provide the convexity are also required. The singularity of the action-angle coordinates at the origin is overcome by working in Cartesian coordinates.
Mathematics Subject Classification ID: 37K45
Mathematics Subject Classification ID: 37K05
Mathematics Subject Classification ID: 70H05
zbMATH DE Number: 1294585
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: Nekhoroshev stability
zbMATH Keywords: Nekhoroshev conjecture
zbMATH Keywords: diophantine assumptions on frequencies
zbMATH Keywords: convexity
MaRDI profile type: Publication
full work available at URL: s002200050454
OpenAlex ID: W2065535861
DOI: 10.1007/S002200050454
description: scientific article; zbMATH DE number 1294585