The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

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

Lidong Wang, Gongfu Liao, Zhizhi Chen, Xiaodong Duan (2003)

Annales Polonici Mathematici

Similarity:

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.