Topological conjugacy of linear systems on Lie groups

TL;DR

This paper classifies linear systems on Lie groups based on flow conjugacy and analyzes their stability through Lyapunov exponents, providing a framework for understanding their dynamic behavior.

Contribution

It introduces a classification scheme for linear systems on Lie groups based on flow conjugacy and explores stability criteria via Lyapunov exponents.

Findings

Classification of linear systems on Lie groups by flow conjugacy

Stability analysis using Lyapunov exponents

Framework for dynamic behavior assessment

Abstract

In this paper we study a classification of linear systems on Lie groups with respect to the conjugacy of the corresponding flows. We also describe stability according to Lyapunov exponents.