Morse decompositions and spectra on flag bundles
type: Item
instance of: scholarly article
title: Morse decompositions and spectra on flag bundles
zbMATH Open document ID: 1037.37009
DOI: 10.1023/A:1020756125179
author: Wolfgang Kliemann
author: Fritz Colonius
published in: Journal of Dynamics and Differential Equations
publication date: 2003-03-11T00:00:00Z
review text: Linear flows on vector bundles arise in linear differential equations with almost-periodic coefficients, linearized autonomous differential equations, and bilinear and linear control systems. For such flows, chain recurrent components of the induced flows on flag bundles and the corresponding Morse spectrum are constructed. The methods used for the chain recurrent components of linear flows in projective bundles and the Morse spectrum are generalized to a higher-dimension case, based on a classification of chain recurrent components for the induced flows on flag and Grassmann bundles giving the finest Morse decomposition.
reviewed by: Kazuyuki Yagasaki
Mathematics Subject Classification ID: 37C10
Mathematics Subject Classification ID: 34D99
zbMATH DE Number: 1879629
zbMATH Keywords: Morse spectrum
zbMATH Keywords: linear flow
zbMATH Keywords: chain recurrence
zbMATH Keywords: flag
MaRDI profile type: Publication
full work available at URL: a:1020756125179
OpenAlex ID: W90685446
description: scientific article; zbMATH DE number 1879629