In this book new types of transitivity minimality exactness and chaoticity are introduced and studied. This is intended as a survey article on topological transitivity and chaoticity of a discrete system given by irresoluteness self-map of a compact topological space. On one hand it introduces postgraduate students to the study of new types of topological transitivity minimal systems and chaotic maps and gives an overview of results on the topic but on the other hand it covers some of the recent developments of topological dynamics technology electronic and computer science
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