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

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

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...

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Bibliographic Details
Main Author: Simão Stelmastchuk
Format: Article
Language:English
Published: University of Szeged 2021-10-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
stability
periodic orbits
linear flow
compact semisimple lie group
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9193
Description
Summary: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 $SO(4)$.
ISSN:1417-3875

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