JORDAN DECOMPOSITION AND THE RECURRENT SET OF FLOWS OF AUTOMORPHISMS

Autor(es)

Ayala, Victor ^[1] ; Da Silva, Adriano ^[2] ; Jouan, Philippe ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 41, n. 4, p. 1543-1559, APR 2021.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 18/10696-6 - Sistemas de controle em grupos de Lie e espaços homogêneos
• Beneficiário: Adriano João da Silva
• Modalidade de apoio: Auxílio à Pesquisa - Regular