Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 324273, 18 pages
doi:10.1155/2009/324273

On exponential dichotomy of variational difference equations

Abstract

We give very general characterizations for uniform exponential dichotomy of variational difference equations. We propose a new method in the study of exponential dichotomy based on the convergence of some associated series of nonlinear trajectories. The obtained results are applied to difference equations and also to linear skew-product flows.