In this paper, inspired by some results in linear dynamics, we will show that every dynamical system (X. f), where f is a continuous self-map on a separable metric space X, can be extended to a chaotic (in the sense of Devaney) dynamical system in an isometric way. (C) 2010 Elsevier B.V. All rights reserved.
On chaotic extensions of dynamical systems / LE DONNE, Attilio; Alessandro, Fedeli. - In: TOPOLOGY AND ITS APPLICATIONS. - ISSN 0166-8641. - STAMPA. - 158:4(2011), pp. 594-596. [10.1016/j.topol.2010.12.007]
On chaotic extensions of dynamical systems
LE DONNE, Attilio;
2011
Abstract
In this paper, inspired by some results in linear dynamics, we will show that every dynamical system (X. f), where f is a continuous self-map on a separable metric space X, can be extended to a chaotic (in the sense of Devaney) dynamical system in an isometric way. (C) 2010 Elsevier B.V. All rights reserved.File allegati a questo prodotto
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