Jordan decomposition and the recurrent set of flows of automorphisms

Víctor Ayala; Adriano da Silva; Philippe Jouan

doi:10.3934/dcds.2020330

Jordan decomposition and the recurrent set of flows of automorphisms

Víctor Ayala
, Adriano da Silva
, Philippe Jouan

Instituto de Alta Investigación

Universidade Estadual de Campinas
Université de Rouen Normandie

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

5 Citas (Scopus)

Resumen

In this paper we show that any linear vector field X on a connected Lie group G admits a Jordan decomposition and the recurrent set of the associated flow of automorphisms is given as the intersection of the fixed points of the hyperbolic and nilpotent components of its Jordan decomposition.

Idioma original	Inglés
Páginas (desde-hasta)	1543-1559
Número de páginas	17
Publicación	Discrete and Continuous Dynamical Systems- Series A
Volumen	41
N.º	4
DOI	https://doi.org/10.3934/dcds.2020330
Estado	Publicada - abr 2021

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title = "Jordan decomposition and the recurrent set of flows of automorphisms",

abstract = "In this paper we show that any linear vector field X on a connected Lie group G admits a Jordan decomposition and the recurrent set of the associated flow of automorphisms is given as the intersection of the fixed points of the hyperbolic and nilpotent components of its Jordan decomposition.",

keywords = "Jordan decomposition, Linear vector fields, Recurrent points",

author = "V{\'i}ctor Ayala and \{da Silva\}, Adriano and Philippe Jouan",

year = "2021",

month = apr,

doi = "10.3934/dcds.2020330",

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T1 - Jordan decomposition and the recurrent set of flows of automorphisms

AU - Ayala, Víctor

AU - da Silva, Adriano

AU - Jouan, Philippe

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N2 - In this paper we show that any linear vector field X on a connected Lie group G admits a Jordan decomposition and the recurrent set of the associated flow of automorphisms is given as the intersection of the fixed points of the hyperbolic and nilpotent components of its Jordan decomposition.

AB - In this paper we show that any linear vector field X on a connected Lie group G admits a Jordan decomposition and the recurrent set of the associated flow of automorphisms is given as the intersection of the fixed points of the hyperbolic and nilpotent components of its Jordan decomposition.

KW - Jordan decomposition

KW - Linear vector fields

KW - Recurrent points

UR - https://www.scopus.com/pages/publications/85101110654

U2 - 10.3934/dcds.2020330

DO - 10.3934/dcds.2020330

M3 - Article

AN - SCOPUS:85101110654

SN - 1078-0947

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JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 4

ER -

Jordan decomposition and the recurrent set of flows of automorphisms

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