Jordan decomposition and the recurrent set of flows of automorphisms
Dynamical Systems
2020-09-11 v2
Abstract
In this paper we show that any linear vector field on a connected Lie group admits a Jordan decomposition and the recurrent set of the associated ow of automorphisms is given as the intersection of the fixed points of the hyperbolic and nilpotent components of its Jordan decomposition.
Keywords
Cite
@article{arxiv.2002.01094,
title = {Jordan decomposition and the recurrent set of flows of automorphisms},
author = {Victor Ayala and Adriano Da Silva and Philippe Jouan},
journal= {arXiv preprint arXiv:2002.01094},
year = {2020}
}