Weakly mixing invariant tori of Hamiltonian systems
type: Item
instance of: scholarly article
title: Weakly mixing invariant tori of Hamiltonian systems
zbMATH Open document ID: 0945.37001
author: O. Knill
published in: Communications in Mathematical Physics
publication date: 1999-12-16T00:00:00Z
review text: The author proves the theorem: Given a real analytic Hamiltonian \(H\) for which there exists an invariant torus \(N\) on which the dynamics is quasi-periodic, there exists a Hamiltonian \(K\) arbitrarily close to \(H\) for which the same torus is still invariant and for which the dynamics on \(N\) is ergodic and weakly mixing.
Mathematics Subject Classification ID: 37A25
Mathematics Subject Classification ID: 37K05
Mathematics Subject Classification ID: 37J40
zbMATH DE Number: 1379920
zbMATH Keywords: invariant torus
zbMATH Keywords: weakly mixing
zbMATH Keywords: Hamiltonian
zbMATH Keywords: Shklover's theorem
reviewed by: L. M. Lerman
MaRDI profile type: Publication
full work available at URL: s002200050638
OpenAlex ID: W2021956210
DOI: 10.1007/S002200050638
description: scientific article; zbMATH DE number 1379920