It is commonly believed that chaos is linked to non-linearity, however many (even quite
natural) linear dynamical systems exhibit chaotic behavior. The study of these systems is a …

Bringing together research that was otherwise scattered throughout the literature, this book
collects the main results on the conditions for the existence of large algebraic substructures …

For the last decade there has been a generalized trend in mathematics on the search for
large algebraic structures (linear spaces, closed subspaces, or infinitely generated …

The Li–Yorke definition of chaos proved its value for interval maps. In this paper it is
considered in the setting of general topological dynamics. We adopt two opposite points of …

We introduce and study a concept which links the Li–Yorke versions of chaos with the notion
of sensitivity to initial conditions. We say that a dynamical system (X, T) is Li–Yorke sensitive …

This paper surveys six notions of dynamical transitivity and mixing, in the context of group
actions on topological spaces. We discuss the relations between these notions, and the …

Acta Mathematica Sinica, English Series Page 1 Acta Mathematica Sinica, English Series
Jan., 2016, Vol. 32, No. 1, pp. 83–114 Published online: February 15, 2015 DOI: 10.1007/s10114-015-4574-0 …

A valuable introduction for newcomers as well as an important reference and source of
inspiration for established researchers, this book provides an up-to-date summary of central …

In this paper, we present first results on applying a personality assessment paradigm to
speech input, and comparing human and automatic performance on this task. We cue a …

In a topological dynamical system has unbounded complexity, we prove that 2-scattering
systems are disjoint from minimal isometries; that in the invertible case the complexity …