Open AccessLinear flows on compact, semisimple Lie groups: stability and periodic orbits
Author(s) -
Simão N. Stelmastchuk
Publication year - 2021
Publication title -
electronic journal on the qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2021.1.84
Subject(s) - algorithm , artificial intelligence , physics , computer science
Our first purpose is to study the stability of linear flows on real,connected, compact, semisimple Lie groups. Our second purpose is to studyperiodic orbits of linear and invariant flows. As an application, wepresent periodic orbits of linear or invariant flows on S O ( 3 ) and S U ( 2 ) and we study periodic orbits of linear or invariant flows on S O ( 4 ) .