EUDML | Recurrent point set of the shift on Σ and strong chaos

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Displaying similar documents to “Recurrent point set of the shift on Σ and strong chaos”

The set of recurrent points of a continuous self-map on compact metric spaces and strong chaos

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We discuss the existence of an uncountable strongly chaotic set of a continuous self-map on a compact metric space. It is proved that if a continuous self-map on a compact metric space has a regular shift invariant set then it has an uncountable strongly chaotic set in which each point is recurrent, but is not almost periodic.

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