Chaos in Electronics: 2 (Mathematical Modelling: Theory and Applications, 2) - Hardcover

Van Wyk, M.A.; Steeb, W.-H.

Hardcover

ISBN 10: 0792345762 ISBN 13: 9780792345763

Publisher: Springer, 1997

Synopsis

Many dynamical systems in physics, chemistry and biology exhibit complex be­ haviour. The apparently random motion of a fluid is the best known example. How­ ever also vibrating structures, electronic oscillators, magnetic devices,lasers, chemical oscillators, and population kinetics can behave in a complicated manner. One can find irregular oscillations, which is now known as chaotic behaviour. The research field of nonlinear dynamical systems and especially the study of chaotic systems has been hailed as one of the important breaktroughs in science this century. The sim­ plest realization of a system with chaotic behaviour is an electronic oscillator. The purpose of this book is to provide a comprehensive introduction to the application of chaos theory to electronic systems. The book provides both the theoretical and experimental foundations of this research field. Each electronic circuit is described in detail together with its mathematical model. Controlling chaos of electronic oscilla­ tors is also included. End of proofs and examples are indicated by •. Inside examples the end of proofs are indicated with O. We wish to express our gratitude to Catharine Thompson for a critical reading of the manuscript. Any useful suggestions and comments are welcome. Email address of the first author: MVANWYK@TSAMAIL. TRSA. AC. ZA Email address of the first author: WHS@RAU3. RAU. AC. ZA Home page of the authors: http://zeus. rau. ac. za/steeb/steeb. html xi Chapter 1 Introduction 1.

About this title

Synopsis

This book gives a comprehensive introduction to the application of nonlinear dynamics to electronic systems, providing both the theoretical and experimental foundations for this research field. All relevant electronic circuits with chaotic behaviour are described and discussed in detail. The book is suitable for graduate students and researchers whose work involves circuits, control systems, and the mathematics of engineering.

Edition details

• Publisher: Springer
• Publication date: 1997
• Language: English
• ISBN 10: 0792345762
• ISBN 13: 9780792345763
• Binding: Hardcover
• Number of pages: 494