21 citations · 71 across the 19 of their papers we have counts for
3 papers · 1 filter
Orbit equivalence of linear systems on manifolds and semigroup actions on homogeneous spaces
Rafael M. Hungaro, Osvaldo G. Rocio, Alexandre J. Santana
In this paper we introduce the notion of orbit equivalence for semigroup actions and the concept of generalized linear control system on smooth manifold. The main goal is to prove…
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…
Topological conjugacy of linear systems on Lie groups
A. Da Silva, A. J. Santana, S. N. Stelmastchuk
In this paper we study a classification of linear systems on Lie groups with respect to the conjugacy of the corresponding flows. We also describe stability according to Lyapunov e…