JORDAN DECOMPOSITION AND THE RECURRENT SET OF FLOWS OF AUTOMORPHISMS

Ayala, Victor; Da Silva, Adriano; Jouan, Philippe

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

JORDAN DECOMPOSITION AND THE RECURRENT SET OF FLOWS OF AUTOMORPHISMS

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Author(s):	Ayala, Victor ^[1] ; Da Silva, Adriano ^[2] ; Jouan, Philippe ^[3] Total Authors: 3
Affiliation:	^[1] Univ Tarapaca, Inst Alta Invest, Arica - Chile ^[2] Univ Estadual Campinas, Inst Matemat, Campinas - Brazil ^[3] Univ Rouen, Lab Math Raphael Salem, Rouen - France Total Affiliations: 3
Document type:	Journal article
Source:	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 41, n. 4, p. 1543-1559, APR 2021.
Web of Science Citations:	0
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. (AU)

FAPESP's process:	18/10696-6 - Control systems on Lie groups and homogeneous spaces
Grantee:	Adriano João da Silva
Support Opportunities:	Regular Research Grants

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