Linear flows on compact, semisimple Lie groups: stability and periodic orbits

Abstract

Our first purpose is to study the stability of linear flows on real, connected, compact, semisimple Lie groups. Our second purpose is to study periodic orbits of linear and invariant flows. As an application, we present periodic orbits of linear or invariant flows on $SO(3)$ and $SU(2)$ and we study periodic orbits of linear or invariant flows on $SO(4)$.

Keywords

• stability
• periodic orbits
• linear flow
• compact semisimple lie group