Overview

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. Audience: The book is suitable for graduate students and researchers whose work involves circuits, control systems, and the mathematics of engineering.

Full Product Details

Author:   M.A. van Wyk ,  W.-H. Steeb
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1997
Volume:   2
Dimensions:   Width: 16.00cm , Height: 2.50cm , Length: 24.00cm
Weight:   0.753kg
ISBN:  

9789048148578

ISBN 10:   904814857
Pages:   483
Publication Date:   15 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 Introduction.- 2 Analysis of Chaotic Systems.- 3 One-dimensional Maps in Electronics.- 4 Higher Dimensional Maps in Electronics.- 5 Autonomous Systems in Electronics.- 6 Driven Systems.- 7 Controlling Chaos.- 8 Chaos in Electronics: The Future.- A One-Dimensional Maps.- A.1 Introduction.- A.2 Orbits and Their Properties.- A.3 Hyperbolicity.- A.4 Stability.- A.5 Topological Conjugacy.- A.6 Chaos.- A.7 Invariant Density.- A.8 Variational Equation and Lyapunov Exponent.- A.9 Ergodic Theorem.- A.10 Information Exchange.- A.11 Connection with Higher Dimensional Maps.- B Important Definitions and Theorems.- C Mathematical Methods.- C.1 Least-Squares Linearized Flow Estimation.- C.2 Line Intersection Algorithm.- D MATLAB Program Listings.- D.1 Lyapunov Exponents for Maps.- D.2 Lyapunov Exponents for Flows.- D.3 Lyapunov Exponents from Time Series.- D.4 Standard Gram-Schmidt Procedure.- D.5 Modified Gram-Schmidt Procedure.

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