On chaotic set-valued discrete dynamical systems |
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| Affiliation: | 1. School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, UK;2. Department of Mathematics, University of Illinois at Chicago, 322 SEO (m/c 249), 851 S. Morgan Street, Chicago, IL 60607-7045, USA;3. Faculty of Mathematics, University of Vienna, Oskar-Morgensternplatz 1, 1090 Vienna, Austria;1. Communications and Computer Research Center, Ferdowsi University of Mashhad, Iran;2. Department of Electrical Engineering, Ferdowsi University of Mashhad, Iran;1. Departamento de Matemática Aplicada, Instituto de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, Rio de Janeiro, RJ 21945-970, Brazil;2. Departamento de Análisis Matemático, Universidad de la Laguna, 38271, La Laguna (Tenerife), Spain;3. Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Edifici 8E, Acces F, 4a planta, 46022 València, Spain |
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| Abstract: | Let (X, d) be a metric space and let f: (X, d) → (X, d) be a continuous map. In this note we investigate the relationships between the chaoticity of some set-valued discrete dynamical systems associated to f (collective chaos) and the chaoticity of f (individual chaos). |
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