Weak stability of non-autonomous discrete dynamical systems

[EN] In this paper we introduce a concept of weak stability for non-autonomous dynamical systems. We characterize the set of weak stable points and show that the set of weak stable points is residual, and investigate the relation between weak stability and shadowing property. We also discuss the rel...

ver descrição completa

Detalhes bibliográficos
Autores: Lan, Yaoyao, Peris Manguillot, Alfredo|||0000-0003-1683-2373
Tipo de documento: artigo
Data de publicação:2018
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositório:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglês
OAI Identifier:oai:riunet.upv.es:10251/147535
Acesso em linha:https://riunet.upv.es/handle/10251/147535
Access Level:Acceso aberto
Palavra-chave:Weak stability
Non-autonomous dynamical system
Set-valued system
Shadowing property
MATEMATICA APLICADA
Descrição
Resumo:[EN] In this paper we introduce a concept of weak stability for non-autonomous dynamical systems. We characterize the set of weak stable points and show that the set of weak stable points is residual, and investigate the relation between weak stability and shadowing property. We also discuss the relation between weak stability of a non-autonomous dynamical system and its induced set-valued system. (C) 2018 Elsevier B.V. All rights reserved.