Chaos in Electronics

  • M. A. van Wyk
  • W.-H Steeb

Part of the Mathematical Modelling: Theory and Applications book series (MMTA, volume 2)

Table of contents

  1. Front Matter
    Pages i-xi
  2. M. A. van Wyk, W.-H Steeb
    Pages 1-6
  3. M. A. van Wyk, W.-H Steeb
    Pages 7-74
  4. M. A. van Wyk, W.-H Steeb
    Pages 75-117
  5. M. A. van Wyk, W.-H Steeb
    Pages 119-170
  6. M. A. van Wyk, W.-H Steeb
    Pages 171-220
  7. M. A. van Wyk, W.-H Steeb
    Pages 221-289
  8. M. A. van Wyk, W.-H Steeb
    Pages 291-339
  9. M. A. van Wyk, W.-H Steeb
    Pages 341-342
  10. Back Matter
    Pages 343-483

About this book

Introduction

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.

Keywords

MatLab chaos circuit electronic circuit electronics micro-alloy transistor

Authors and affiliations

  • M. A. van Wyk
    • 1
    • 2
  • W.-H Steeb
    • 2
  1. 1.Technikon Southern AfricaSouth Africa
  2. 2.Rand Afrikaans UniversityJohannesburgSouth Africa

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8921-5
  • Copyright Information Springer Science+Business Media B.V. 1997
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4857-8
  • Online ISBN 978-94-015-8921-5
  • Series Print ISSN 1386-2960
  • About this book
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