Transitivity and Chaos

Sergiy Kolyada (Institute of Mathematics)

This is intended as a survey  on transitivity and various definitions of chaos of a dynamical system given by a continuous selfmap of a compact (metric) space. On one hand it introduces beginners to the study of chaos and gives  an overview of results on the topic, but, on the other hand, it covers some of the recent  developments. We compare various  definitions of chaos and incorporate some of them  into the general frame of Topological Dynamics.