On chaotic extensions of dynamical systems |
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| Authors: | Alessandro Fedeli Attilio Le Donne |
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| Affiliation: | a Department of Mathematics, University of L'Aquila, 67100 L'Aquila, Italy
b Department of Mathematics, University of Rome “La Sapienza”, 00100 Rome, Italy |
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| 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. |
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| Keywords: | 54H20 37B05 37B20 |
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