Nonuniform dichotomy spectrum and reducibility for nonautonomous equations
Dynamical Systems
2014-02-11 v1
Abstract
For nonautonomous linear differential equations with nonuniform hyperbolicity, we introduce a definition for nonuniform dichotomy spectrum, which can be seen as a generalization of Sacker-Sell spectrum. We prove a spectral theorem and use the spectral theorem to prove a reducibility result.
Cite
@article{arxiv.1402.2067,
title = {Nonuniform dichotomy spectrum and reducibility for nonautonomous equations},
author = {Jifeng Chu and Fang-Fang Liao and Stefan Siegmund and Yonghui Xia and Weinian Zhang},
journal= {arXiv preprint arXiv:1402.2067},
year = {2014}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1402.1599