Two-dimensional invariant tori in the neighborhood of an elliptic equilibrium of Hamiltonian systems
type: Item
instance of: scholarly article
title: Two-dimensional invariant tori in the neighborhood of an elliptic equilibrium of Hamiltonian systems
zbMATH Open document ID: 1175.37064
author: Jiangong You
author: Hui Lu
publication date: 2009-09-03T00:00:00Z
review text: Hamiltonian systems in \(\mathbb{R}^{2n}\) are shown to possess, in the neighbourhood of an elliptic equilibrium, either a four-dimensional invariant disc or an invariant Cantor set with a positive \((n+2)\)-dimensional Lebesgue measure. The assumptions are related to small divisors conditions.
reviewed by: Jan Andres
Mathematics Subject Classification ID: 37J40
zbMATH DE Number: 5601629
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: planar invariant tori
zbMATH Keywords: elliptic equilibrium
zbMATH Keywords: small divisors
MaRDI profile type: Publication
full work available at URL: s10114-009-7053-7
OpenAlex ID: W2038078312
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DOI: 10.1007/S10114-009-7053-7
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 5601629