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...

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Detalles Bibliográficos
Autores: Lan, Yaoyao, Peris Manguillot, Alfredo|||0000-0003-1683-2373
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/147535
Acceso en línea:https://riunet.upv.es/handle/10251/147535
Access Level:acceso abierto
Palabra clave:Weak stability
Non-autonomous dynamical system
Set-valued system
Shadowing property
MATEMATICA APLICADA
Descripción
Sumario:[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.