KAM theory near multiplicity one resonant surfaces in perturbations of a-priori stable Hamiltonian systems
type: Item
instance of: scholarly article
title: KAM theory near multiplicity one resonant surfaces in perturbations of a-priori stable Hamiltonian systems
zbMATH Open document ID: 0876.58015
DOI: 10.1007/BF02677977
published in: Journal of Nonlinear Science
publication date: 1997-06-04T00:00:00Z
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 37G05
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37C55
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 70K30
zbMATH DE Number: 1016993
zbMATH Keywords: KAM theory
zbMATH Keywords: multiplicity-one resonance surface
zbMATH Keywords: whiskered tori
zbMATH Keywords: normal form
zbMATH Keywords: integrability on Cantor sets
author: Misha Rudnev
author: Stephen Wiggins
MaRDI profile type: Publication
cites work: PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
cites work: Q5508817
cites work: Q3972250
cites work: Q4285310
cites work: TWISTLESS KAM TORI, QUASI FLAT HOMOCLINIC INTERSECTIONS, AND OTHER CANCELLATIONS IN THE PERTURBATION SERIES OF CERTAIN COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS: A REVIEW
cites work: Q5461246
cites work: Q5829223
cites work: Q4514089
cites work: The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
cites work: Integrability of hamiltonian systems on cantor sets
cites work: On elliptic lower dimensional tori in Hamiltonian systems
cites work: Nekhoroshev estimates for quasi-convex Hamiltonian systems
cites work: THE MECHANISM OF DESTRUCTION OF RESONANCE TORI OF HAMILTONIAN SYSTEMS
full work available at URL: https://doi.org/10.1007/bf02677977
OpenAlex ID: W4246075860
description: scientific article; zbMATH DE number 1016993