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Published on: July 11, 2013
On the local aspects of distributional chaos
Ryszard J Pawlak1, Anna Loranty1
1Faculty of Mathematics and Computer Science, Łódź University, Banacha 22, 90-238 Łódź, Poland.
Abstract:
In this paper, the notion of a distributionally chaotic point (connected with focusing of an uncountable distributionally scrambled set and its envelope around this point) is introduced. The theorems dealing with the existence of such points for selfmaps of the closed unit interval and the possibilities of approximation of nonautonomous discrete dynamical systems by systems with i-stable and p-DC1 points are proved.
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