Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations
Dynamical Systems
2014-02-10 v1
Abstract
For nonautonomous linear difference equations, we introduce the notion of the so-called nonuniform dichotomy spectrum and prove a spectral theorem. Moreover, we introduce the notion of weak kinematical similarity and prove a reducibility result by the spectral theorem.
Cite
@article{arxiv.1402.1599,
title = {Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations},
author = {Jifeng Chu and Hailong Zhu and Stefan Siegmund and Yonghui Xia},
journal= {arXiv preprint arXiv:1402.1599},
year = {2014}
}