It is shown that in a topological dynamical system with positive entropy, there is a measure-
theoretically “rather big” set such that a multivariant version of mean Li–Yorke chaos …

In this paper, it is rigorously proven that since observational data (ie, numerical values of
physical quantities) are rational numbers only due to inevitably nonzero measurements …

We prove that if a topological dynamical system is mean sensitive and contains a mean
proximal pair consisting of a transitive point and a periodic point, then it is mean Li-Yorke …

For every positive integer $ n\geqslant 2$, we introduce the concept of measure-theoretic n-
sensitivity for measure-theoretic dynamical systems via finite measurable partitions, and …

Recently, in connection with C*-algebra theory, the first author and Danilo Royer introduced
ultragraph shift spaces. In this paper we define a family of metrics for the topology in such …

Motivated by C*-algebra theory, ultragraph edge shift spaces generalize shifts of finite type
to the infinite alphabet case. In this paper we study several notions of chaos for ultragraph …

The aim of the paper is to correct and improve some results concerning distributional chaos
of type 3. We show that in a general compact metric space, distributional chaos of type 3 …

In this paper, several types of reiterative distributional chaos are concerned in discrete
dynamical systems. Some implications between distributional chaos and reiterative …

For continuous interval maps there are more than 50 mutually equivalent conditions
characterizing maps with zero topological entropy. At the end of the 1980s, AN Sharkovsky …

We disprove the conjecture that the existence of a DC3-scrambled pair is preserved under
iteration and show that a slightly strengthened definition of distributional chaos of type 3 …