Invariant tori in Hamiltonian systems with two degrees of freedom in a neighborhood of a resonance
type: Item
instance of: scholarly article
title: Invariant tori in Hamiltonian systems with two degrees of freedom in a neighborhood of a resonance
zbMATH Open document ID: 0942.37042
published in: Regular and Chaotic Dynamics
publication date: 1999-09-22T00:00:00Z
review text: The paper deals with a question on invariant tori in Hamiltonian systems with two degrees of freedom in a neighborhood of a resonance. First an upper estimate is obtained for the difference of the frequencies on two invariant curves, bounding a resonance zone of an area-preserving close to integrable map. Analogous results for such Hamiltonian systems are presented. The authors also state the conjecture, that generically the lower estimate is of the same order.
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 37J35
zbMATH DE Number: 1340945
zbMATH Keywords: invariant tori
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: resonance zone
author: D. Treschev
author: Oleg Zubelevich
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
DOI: 10.1070/RD1998V003N03ABEH000081
description: scientific article; zbMATH DE number 1340945