An ergodic classification of bidimensional linear systems
type: Item
instance of: scholarly article
title: An ergodic classification of bidimensional linear systems
zbMATH Open document ID: 0869.28009
DOI: 10.1007/BF02218760
author: Sylvia Novo
author: Rafael Obaya
published in: Journal of Dynamics and Differential Equations
publication date: 1997-08-24T00:00:00Z
review text: The ergodic structure of the projective flow induced by a family of bidimensional linear systems is studied. The authors show that the existence of a continuous invariant measure guarantees the existence of another measure, called linear, which provides substantial information upon the properties of the complex bundle. Some examples are given to illustrate the applicability of these results.
Mathematics Subject Classification ID: 28D05
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 34C11
zbMATH DE Number: 946880
zbMATH Keywords: ergodic structure
zbMATH Keywords: projective flow
zbMATH Keywords: bidimensional linear systems
reviewed by: Sophia L. Kalpazidou
MaRDI profile type: Publication
cites work: Q5589084
cites work: Strict Ergodicity and Transformation of the Torus
cites work: Q5570501
cites work: Two-Dimensional, Almost Periodic Linear Systems with Proximal and Recurrent Behavior
cites work: Ergodic theory and linear differential equations
cites work: Measurable subbundles in linear skew-product flows
cites work: On a Floquet theory for almost-periodic, two-dimensional linear systems
cites work: Q3264374
cites work: On the construction of smooth ergodic skew-products
cites work: Directional differentiability of the rotation number for the almost- periodic Schrödinger equation
cites work: Lifting properties in skew-product flows with applications to differential equations
cites work: Q4061241
description: scientific article; zbMATH DE number 946880