A topological conjugacy of invariant flows on some class of Lie groups

2016/07/11 by Santana, Alexandre J., Stelmastchuk, Simão N.
#22E20 #37B99 #54H20 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1607.03022

Abstract

The aim of this paper is to give a condition to topological conjugacy of invariant flows in an Lie group G which its Lie algebra \mathfrakg is associative algebra or semisimple. In fact, we show that if two dynamical system on G are hyperbolic, then they are topological conjugate.

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