4 papers · 1 filter
Algebraic Conjugacy of Linear Flows on Connected Lie Groups
S. N. Stelmastchuk
We study algebraic conjugacy of linear flows on connected Lie groups. To each linear flow we associate a derivation of the Lie algebra, and we analyze how the conjugacy problem can…
Periodic orbits of Linear and invariant flows on connected Lie groups
S. N. Stelmastchuk
Our main is to study periodic orbits of linear and invariant flows on a real, connected Lie group. Since each linear flow has a derivation associated , we show t…
Linear flows on compact, semisimple Lie groups: stability, periodic orbits, and Poincaré-Bendixon's Theorem
S. N. Stelmastchuk
Our first purpose is to study the stability of linear flows on real, connected, compact, semisimple Lie groups. After, we study and classify periodic orbits of linear and invariant…
A topological conjugacy of invariant flows on some class of Lie groups
Alexandre J. Santana, Simão N. Stelmastchuk
The aim of this paper is to give a condition to topological conjugacy of invariant flows in an Lie group which its Lie algebra is associative algebra or semisimp…