Lyapunov-type numbers and torus breakdown: Numerical aspects and a case study
type: Item
instance of: scholarly article
title: Lyapunov-type numbers and torus breakdown: Numerical aspects and a case study
zbMATH Open document ID: 0885.65079
DOI: 10.1023/A:1019100627272
author: Luca Dieci
author: Jens Lorenz
published in: Numerical Algorithms
publication date: 1997-10-26T00:00:00Z
review text: The authors give some general results on Lyapunov-type numbers defined by \textit{N. Fenichel} [Math. J., Indiana Univ. 21, 193-226 (1971; Zbl 0246.58015)] and their calculation. As example they examine the breakdown mechanism for a 2-torus associated to a system of coupled oscillators.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34D08
Mathematics Subject Classification ID: 37-XX
zbMATH DE Number: 1078368
zbMATH Keywords: invariant tori
zbMATH Keywords: Lyapunov-type numbers
zbMATH Keywords: system of coupled oscillators
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: a:1019100627272
OpenAlex ID: W1520543828
description: scientific article; zbMATH DE number 1078368