Controlling Chaos: Theoretical and Practical Methods in Non-linear Dynamics

Controlling Chaos explains, using simple examples, both the mathematical theory and experimental results used to apply chaotic dynamics to real engineering systems. Chuas circuit is used as an example throughout the book as it can be easily constructed in the laboratory and numerically modeled. The use of this example allows readers to test the theories presented. The text is carefully balanced between theory and applications to provide an in-depth examination of the concepts behind the complex ideas presented. In the final section, Kapitaniak brings together selected reprinted papers which have had a significant effect on the development of this rapidly growing interdisciplinary field. Controlling Chaos is essential reading for graduates, researchers, and students wishing to be at the forefront of this exciting new branch of science.

* Uses easy examples which can be repeated by the reader both experimentally and numerically
* The first book to present basic methods of controlling chaos
* Includes reprinted papers representing fundamental contributions to the field
* Discusses implementation of chaos controlling fundamentals as applied to practical problems

Audience: Post-graduates and research workers in the fields of Aerospace, Civil, Mechanical, and Electrical Engineering, Applied Mathematics, Physics, and Meteorology.

More than two decades of intensive studies on non-linear dynamics posed the question of the practical applications of chaos. One of the possible answers is to control chaotic behavior in such a way as to make it predictable. In this, the first book on the subject, the ideas behind controlling chaos are explored.

This volume explains, using simple examples, both the mathematical theory and experimental results used to apply chaotic dynamics to real engineering systems. Chua's circuit is used as an example throughout the book as it can be easily constructed in the laboratory and numerically modeled (it is piecewise linear), thus enabling the reader to test the theories presented in the book. The text is carefully balanced between theory and applications to allow the reader to fully grasp the concepts behind the complex ideas. In the final section of the book the author brings together carefully selected reprinted papers which have had a significant effect on the development of this rapidly growing interdisciplinary field.

Controlling Chaos is essential reading for graduates, researchers and students wishing to be at the forefront of this exciting new branch of science.

Tomasz Kapitaniak is Professor of Mechanics and Head of the Dynamic Department at the Technical University of Lodz, Poland. In addition to his many published books and papers on chaos, Dr. Kapitaniak has lectured at several universities in Europe, North America, Asia and Africa.Kapitaniak was awarded the British Council Award Fellowship in 1989, and the King Abdul Aziz City of Science and Engineering Award Fellowship in 1990. He has been theauthor of numerous publications in the field of chaos dynamics, including three books. Kapitaniak earned his DSc in Theoretical and Applied Mechanics, his MSc in Mechanical Engineering and MSc in Math, and his PhD in Theoretical and Applied Mechanics from the University of Lodz. He has held positions as a Lecturer, Senior Lecturer, as well as Professor and head of the Division of Technology at the University of Lodz. He has also held a position as Visiting Research Professor at the University of Leeds.