Formulas for the Lyapunov exponents of a family of endomorphisms of a metric vector bundle
type: Item
instance of: scholarly article
title: Formulas for the Lyapunov exponents of a family of endomorphisms of a metric vector bundle
zbMATH Open document ID: 0627.34058
DOI: 10.1007/BF01647627
author: V. M. Millionshchikov
published in: Mathematical Notes
publication date: 1986-01-01T00:00:00Z
review text: The Lyapunov exponent of a linear differential system is a rather complicated function of the system itself. This function is investigated by using simpler functions of the system, which is allowed to have unbounded coefficients. So that the results could be applied also to difference equations, nonlinear differential systems and differentiable transformations of Riemannian manifolds, the author considers a family of endomorphisms of a metrized vector bundle. Formulae are proved by the aid of which the Lyapunov exponents can be studied as functions of the points of the bases.
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 37C75
zbMATH DE Number: 4019525
zbMATH Keywords: Lyapunov exponent
zbMATH Keywords: unbounded coefficients
zbMATH Keywords: difference equations
zbMATH Keywords: Riemannian manifolds
zbMATH Keywords: Lyapunov exponents
MaRDI profile type: Publication
cites work: Q5587026
cites work: Lyapunov exponents of a family of endomorphisms of a metrizable vector bundle
cites work: Normal bases of a family of endomorphisms of a metrized vector bundle
description: scientific article; zbMATH DE number 4019525