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.
On chaotic extensions of dynamical systems
FEDELI, Alessandro;
2011-01-01
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.File in questo prodotto:
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