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

Dynamical Systems 2016-07-12 v1

Abstract

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

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Cite

@article{arxiv.1607.03022,
  title  = {A topological conjugacy of invariant flows on some class of Lie groups},
  author = {Alexandre J. Santana and Simão N. Stelmastchuk},
  journal= {arXiv preprint arXiv:1607.03022},
  year   = {2016}
}

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10 pages