Periodic orbits of linear flows on connected Lie groups

DOI10.22199/ISSN.0717-6279-5261arXiv2002.08479OpenAlexW3093896714MaRDI QIDQ6138729

Simão N. Stelmastchuk

Publication date: 16 January 2024

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.08479

zbMATH Keywords

periodic orbitsconnected Lie groupslinear flows

Mathematics Subject Classification ID

Topological dynamics (37B99) Stability of solutions to ordinary differential equations (34D20) Semisimple Lie groups and their representations (22E46) Explicit solutions, first integrals of ordinary differential equations (34A05) Dynamics induced by flows and semiflows (37C10) Periodic orbits of vector fields and flows (37C27) Lie groups (22E99)

Cites Work

• Controllability of linear systems on Lie groups
• Control systems on three-dimensional Lie groups: equivalence and controllability
• Local controllability for linear control systems on Lie groups
• On topological conjugacy of left invariant flows on semisimple and affine Lie groups
• Linear flows on compact, semisimple Lie groups: stability and periodic orbits
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