Topological conjugacy of linear systems on lie groups

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

doi:10.3934/dcds.2017144

Topological conjugacy of linear systems on lie groups

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

Universidade Estadual de Campinas
Universidade Estadual de Maringá
Universidade Federal do Paraná

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	3411-3421
Number of pages	11
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	37
Issue number	6
DOIs	https://doi.org/10.3934/dcds.2017144
State	Published - 2017
Externally published	Yes

Keywords

Flows
Lie groups
Linear vector fields
Lyapunov exponents
Topological conjugacy

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10.3934/dcds.2017144

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@article{3459460e184f465eb13d29ee05cec898,

title = "Topological conjugacy of linear systems on lie groups",

abstract = "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.",

keywords = "Flows, Lie groups, Linear vector fields, Lyapunov exponents, Topological conjugacy",

author = "\{Da Silva\}, Adriano and Santana, \{Alexandre J.\} and Stelmastchuk, \{Sim{\~a}o N.\}",

year = "2017",

doi = "10.3934/dcds.2017144",

language = "English",

volume = "37",

pages = "3411--3421",

journal = "Discrete and Continuous Dynamical Systems- Series A",

issn = "1078-0947",

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T1 - Topological conjugacy of linear systems on lie groups

AU - Da Silva, Adriano

AU - Santana, Alexandre J.

AU - Stelmastchuk, Simão N.

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Flows

KW - Lie groups

KW - Linear vector fields

KW - Lyapunov exponents

KW - Topological conjugacy

UR - https://www.scopus.com/pages/publications/85017548073

U2 - 10.3934/dcds.2017144

DO - 10.3934/dcds.2017144

M3 - Article

AN - SCOPUS:85017548073

SN - 1078-0947

VL - 37

SP - 3411

EP - 3421

JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 6

ER -

Topological conjugacy of linear systems on lie groups

Abstract

Keywords

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