Topological Conjugacy of Non-hyperbolic Linear Flows
Dynamical Systems
2017-03-14 v1 Classical Analysis and ODEs
Abstract
The topological equivalence classification for linear flows on had been completely solved by Kuiper and independently Ladis in 1973. However, Ladis' proof was published in a Russian journal which isn't easily available, Kuiper's proof is more topological and a little bit subtle. Aiming at topological conjugacy classification, mainly based on the ideas of Kuiper, we introduce other techniques and try to present an elementary and self-contained proof just using linear algebra and elementary topology.
Keywords
Cite
@article{arxiv.1703.04413,
title = {Topological Conjugacy of Non-hyperbolic Linear Flows},
author = {Tongmu He},
journal= {arXiv preprint arXiv:1703.04413},
year = {2017}
}