Formulas for the Lyapunov exponents of a family of endomorphisms of a metric vector bundle
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.
scientific article; zbMATH DE number 4019525