Introduction to Topological Dynamical Systems I

Mohammed Nokhas Murad Kaki  © by the authors

ISBN: 978-1-940366-52-4
Published Date: July 13, 2016
Pages: 166
Paperback: $90
E-book: $25
Publisher: Science Publishing Group
Publication Status: Published
About This Book

This book is intended as a survey article on new types of transitivity and chaoticity of a topological dynamical system given by a continuous self-map of a locally compact Hausdorff space. On one hand it introduces postgraduate students to the study new types of topological transitivity and gives an overview of new results on the topic, but, on the other hand, it covers some of the recent developments of mathematical science, chaos theory, technology, electronic and computer science. In this project, the author starts with some basic introductory definitions of chaos, which in particular are due to work by Devaney, before he explains the main new ingredients of alpha-type chaos, alpha-type transitivity, alpha-denseness of periodic points in a space with alpha-topology. Then he illustrates by examples and theorems the relevant topologically transitive and chaotic behavior by some maps defined on locally compact Hausdorff spaces and relationship between the new and basic definitions are given.

Author Introduction

Dr. Mohammed Nokhas Murad Kaki, the lead author of this book, is assistant professor of Mathematics department, Faculty of science and science Education, University of Sulaimani, Iraq. He holds a MSc., Ph.D. degree in mathematics and Sc.D. degree in Science. He is interested in sustainable development of mathematical science.

Sections
  • The Whole Book

    Publication Date: July 13, 2016

  • Front Matter

    Publication Date: July 13, 2016

  • Chapter 1 New Types of Topological Transitivity

    Publication Date: July 13, 2016

  • Chapter 2 Topologically α-Type Maps and Wandering Points

    Publication Date: July 13, 2016

  • Chapter 3 New Types of Topological b-Transitive Functions

    Publication Date: July 13, 2016

  • Chapter 4 Topological δ-Type Transitive Function

    Publication Date: July 13, 2016

  • Chapter 5 Introduction to Weakly b-Transitive Maps

    Publication Date: July 13, 2016

  • Chapter 6 Topologically γ Transitiviy

    Publication Date: July 13, 2016

  • Chapter 7 Topologically θ-Type Transitive Maps

    Publication Date: July 13, 2016

  • Back Matter

    Publication Date: July 13, 2016