Distributionally chaotic systems of type 2 and rigidity
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.02.056
Abstract: Abstract In this paper we deal with uniformly rigid systems obtained by a method introduced by Katznelson and Weiss and show that such systems never contain DC2 pairs. On the other hand, we introduce a… read more here.
Keywords: distributionally chaotic; systems type; type rigidity; chaotic systems ... See more keywords
On Li–Yorke and distributionally chaotic direct sum operators
Sign Up to like & getrecommendations! Published in 2018 at "Topology and its Applications"
DOI: 10.1016/j.topol.2018.02.012
Abstract: Abstract In this paper, sufficient conditions for the direct sum of countable linear operators on Banach spaces to be Li–Yorke chaotic (distributionally chaotic) are presented. These conditions enable us to construct a densely distributionally chaotic… read more here.
Keywords: chaotic direct; direct sum; distributionally chaotic; sum operators ... See more keywords