A Grobman-Hartman theorem for general nonuniform exponential dichotomies
The Gronman-Hartman theorem is generalized to perturbations of a nonautonomous dynamics with discrete time. The authors construct topological conjugacies between the dynamics of a sequence of sufficiently small Lipschitz perturbations and the linear dynamics of the operator. Moreover, they show that all conjugacies are Hölder continuous.
scientific article; zbMATH DE number 5604507
scientific article