Topological conjugacy of linear systems on Lie groups

Adriano Da Silva; Alexandre J. Santana; Simão N. Stelmastchuk

doi:10.3934/dcds.2017144

Article Contents

2017, Volume 37, Issue 6: 3411-3421. Doi: 10.3934/dcds.2017144

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Topological conjugacy of linear systems on Lie groups

1.
Departamento de Matemática, Universidade de Campinas, Campinas, Brazil
2.
Departamento de Matemática, Universidade Estadual de Maringá, Maringá, Brazil
3.
Universidade Federal do Paraná, Jandáia do Sul, Brazil

Received: October 31, 2016

Revised: December 31, 2016

Published: May 2017

The first author was supported by CAPES grant n° 4792/2016-PRO and partially supported by FAPESP grant n° 2013/19756-8. The second author was parcially supported by Fundação Araucária grant n° 20134003. This work was partially supported by CNPq/Universal grant n° 476024/2012-9.

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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 exponents.

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Mathematics Subject Classification: 22E20, 54H20, 34D20, 37B99.

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References

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