Some problems of the linear theory of systems of ordinary differential equations
type: Item
instance of: scholarly article
title: Some problems of the linear theory of systems of ordinary differential equations
zbMATH Open document ID: 1251.34017
published in: Ukrainian Mathematical Journal
publication date: 2012-03-19T00:00:00Z
full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/166353
review text: The paper addresses the characterization of invariant hyperplanes for systems of linear ordinary differential equations. The notion of equivalence between such systems of different orders is introduced and a new formula for the Floquet form is proposed. Finally, given a periodic trajectory of a dynamical system it is suggested the introduction of suitable amplitude-phase coordinates reducing the system to a simpler form.
reviewed by: Tihomir Gyulov
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34C45
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34C41
zbMATH DE Number: 6015581
zbMATH Keywords: linear systems of ordinary differential equations
zbMATH Keywords: invariant hyperplanes
zbMATH Keywords: Floquet theory
zbMATH Keywords: amplitude-phase coordinates
author: A. M. Samojlenko
MaRDI profile type: Publication
OpenAlex ID: W2086675126
cites work: Q3013768
cites work: Q3994613
cites work: Conditions for Synchronization of One Oscillation System
DOI: 10.1007/S11253-011-0504-1
description: scientific article; zbMATH DE number 6015581