Chaos in Electronics

AvM.A. van Wyk,W.-H. Steeb

Häftad, Engelska, 2010

Del 2 i serien Mathematical Modelling: Theory and Applications

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2010-12-15
Mått:160 x 240 x 27 mm
Vikt:744 g
Format:Häftad
Språk:Engelska
Serie:Mathematical Modelling: Theory and Applications
Antal sidor:483
Förlag:Springer
ISBN:9789048148578

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Innehållsförteckning

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.