Difference between Devaney chaos associated with two systems

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We discuss the relation between Devaney chaos in the base system and Devaney chaos in its induced hyperspace system. We show that the latter need not imply the former. We also argue that this implication is not true even in the strengthened condition. Additionally we give an equivalent condition for the periodically density in the hyperspace system.
9pages

Keywords

Dynamical Systems, 37B10, 37D45, 54B20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/218236

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.0106
 http://arxiv.org/abs/0902.0106

Collections

arXiv