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Tables of Contents for Chaos in Circuits and Systems
Chapter/Section Title
Page #
Page Count
Chaotic Oscillators - Design Principles
1
23
E. Lindberg
K. Murali
A. Tamasevicius
Introduction and General Remarks
2
2
Amplifiers
4
1
Oscillators
4
14
Conclusions and a Question
18
5
Design Methodology for Autonomous Chaotic Oscillators
23
28
A. S. Elwakil
M. P. Kennedy
Design Methodology
25
2
The Diode-inductor Composite
27
11
The FET-Capacitor Composite
38
9
Conclusions
47
4
A Design Method for Chaotic Circuits Using Two Oscillators
51
20
Y. Hosokawa
Y. Nishio
Introduction
52
1
The Circuit Model
52
1
Linearized Model
53
10
Verification
63
4
Conclusions
67
4
Chaotic Wandering in Simple Coupled Chaotic Circuits
71
20
Y. Nishio
Introduction
72
1
Circuit Model
73
3
Four-Phase Quasi-Synchronization and Chaotic Wandering
76
3
Analysis of Chaotic Wandering
79
10
Conclusions
89
2
Intermittent Chaos in Phase-Locked Loops
91
20
T. Endo
A. Hasegawa
W. Ohno
Introduction
92
1
Local Intermittency of Pomeau and Manneville Type
93
1
Global Intermittency Called ``Heteroclinic Tangency Crisis''
94
7
Intermittency from High-Dimensional Systems
101
6
Conclusions
107
4
Dynamical Chaos in Phase-Locked Loops
111
20
V. Shalfeev
V. Matrosov
Introduction
112
2
Chaotic Regimes of PLL
114
14
Conclusion
128
3
A Chaotic Oscillator Based on Two-Port VCCS
131
20
M. Kataoka
T. Saito
Introduction
132
1
The Chaotic Oscillator
132
6
System Dynamics
138
1
The Existence of Attractors
139
3
The Transistorized Circuit
142
1
Conclusions
143
8
A Generic Class of Chaotic and Hyperchaotic Circuits with Synchronization Methods
151
20
J. A. K. Suykens
M. E. Yalcin
J. Vandewalle
Introduction
152
1
n-Scroll Attractors from a Generalized Chua's Circuit
153
1
Families of Scroll Grid Attractors
154
3
Hyperchaotic Attractors
157
4
Lur'e Representations
161
2
Synchronization Methods
163
3
Conclusions
166
5
Some New Circuit Design for Chaos Generation
171
20
K. S. Tang
K. F. Man
G. Q. Zhong
G. Chen
Introduction
172
1
Chua's Circuit
173
5
Modified Chua's Circuit
178
7
Chen's Attractor
185
3
Concluding Remarks
188
3
A Current Based VLSI Degree-Two Chaos Generator
191
24
L. Wang
Y. Jiang
R. Newcomb
Introduction
192
1
Degree-Two Chaos Generation System
192
4
Chaotic Nature of the System
196
4
Binary Hysteresis Design
200
4
VLSI Realization of Current Based Degree-Two Chaos Generator
204
7
Discussions on Initial Conditions
211
1
Simulation Results
211
1
Conclusions
212
3
Stochastic Analysis of Electrical Circuits
215
22
M. A. van Wyk
J. Ding
Introduction
216
1
Frobenius-Perron Operators
216
2
Existence of Invariant Densities
218
1
Computation of Invariant Densities
219
6
Stochastic Behavior of Electrical Circuits
225
9
Conclusions
234
3
Chaotic Neuro-Computer
237
20
Y. Horio
K. Aihara
Introduction
238
1
Chaotic Neural Network Model
239
2
SC Circuit Implementation of the Chaotic Neuron Model
241
3
A Large-Scale Chaotic Neuro-Computer
244
8
Conclusions
252
5
Complex Dynamical Behavior in Nearly Symmetric Standard Cellular Neural Networks
257
20
M. Forti
A. Tesi
Introduction
258
1
Neural Network Model and Problem Formulation
259
2
Limit Cycles in Standard PWL CNNs
261
5
Limit Cycles in Sigmoidal CNNs
266
6
Complex Dynamics in Standard CNNs
272
2
Conclusions
274
3
Chaos in a Pulse-type Hardware Neuron Model
277
20
K. Saeki
Y. Sekine
K. Aihara
Introduction
278
1
Chaos in a Pulse-type Hardware Neuron Model
279
9
The Transmission Characteristics of Chaotic Signals
288
5
Conclusions
293
4
Bifurcations in Synaptically Coupled Bonhoffer-van der Pol Neurons
297
20
K. Tsumoto
T. Yoshinaga
H. Kawakami
Introduction
298
1
Coupled BVP Equations
298
1
Analytical Methods
299
4
Analytical Results
303
11
Concluding Remarks
314
3
Chaos in Power Electronics: An Overview
317
24
M. di Bernardo
C. K. Tse
Introduction
318
1
Power Electronics Circuits: A Brief Overview
319
3
Conventional Treatments
322
1
Bifurcations and Chaos in Power Electronics
323
1
A Survey of Research Findings
324
3
Modelling Strategies
327
5
Analysis and Classification of Non-smooth Bifurcations
332
4
Current Status and Future Work
336
5
Use of Chaotic Switching for Harmonic Power Redistribution in Power Converters
341
26
H. S. H. Chung
S. Y. R. Hui
K. K. Tse
Introduction
342
1
Chua's Circuit Revisit
343
5
Amplitude Distribution and the Power Spectral Density with Chaotic Signal
348
3
Mathematical Analysis
351
4
Studying of the PSD with Chaotic Switching
355
1
Experimental Verifications
356
3
Conclusions
359
8
Experimental Techniques for Investigating Chaos in Electronics
367
18
C. K. Tse
Introduction
368
1
Overview of Simulation Study and Verification
368
1
Experimental Investigation
369
1
Displaying Time-domain Waveforms, Attractors and Spectra
370
3
Displaying Poincare Sections
373
5
Displaying Bifurcation Diagrams
378
5
Conclusions
383
2
Nonlinear Dynamical Systems with Interrupted Characteristics: Bifurcation and Control
385
18
T. Kousaka
T. Ueta
H. Kawakami
Introduction
386
1
Circuit Equation and Switching Action
387
3
Bifurcation Analysis
390
2
Controlling Chaos
392
2
The Alpazur Oscillator
394
4
Conclusions
398
5
Controller Synthesis for Periodically Forced Chaotic Systems
403
20
M. Basso
R. Genesio
L. Giovanardi
Introduction
404
1
Problem Formulation and Preliminary Results
405
6
Controller Synthesis
411
3
Application Examples
414
5
Conclusions
419
4
Mechanism for Taming Chaos by Weak Harmonic Perturbations
423
20
N. Inaba
Introduction
424
1
Circuit Setup
424
7
Analysis by the Use of a Constrained Equation
431
1
Derivation of Poincare Map
432
8
Conclusions
440
3
Correlator-Based Chaotic Communications: Attainable Noise and Multipath Performance
443
44
Geza Kolumban
M. P. Kennedy
Introduction
445
1
Chaotic Modulation and Demodulation
446
3
The Estimation Problem
449
4
Receiver Model
453
1
CSK with One Basis Function
454
6
CSK with Two Basis Functions
460
9
Comparison of Noise Performance and Feasibility of Chaotic Systems
469
2
Multipath Performance
471
7
Conclusions
478
9
Using Nonlinear Dynamics and Chaos to Solve Signal Processing Tasks
487
22
M. Ogorzalek
Introduction
488
2
Relation with Shadowing and Noise Reduction
490
1
Continuous-Time Approach
491
4
Discrete-time Approach
495
2
Trade-offs in Trajectory Reconstruction
497
4
Processing of Signals When no Model of Dynamics is Known
501
2
Conclusions
503
6
Chaos Synchronization in a Noisy Environment Using Kalman Filters
509
20
T. Schimming
O. De Feo
Introduction
510
1
System Class
511
2
Kalman Filtering
513
3
Filtering Lur'e Systems
516
3
Application
519
5
Conclusions
524
5
Identification of a Parametrized Family of Chaotic Dynamics from Time Series
529
18
I. Tokuda
R. Tokunaga
Introduction
530
2
Reconstructing a Parametrized Family of Chaotic Dynamics
532
6
Numerical Experiment on the Rossler Equations
538
4
Recognizing Chaotic Time Series
542
1
Discussions and Conclusions
543
4
Cipher-Quasi-Chaotic Sequence with Application to Spreading Spectrum Communication Systems
547
30
J. B. Yu
Introduction
548
2
CSS Sequence Optimization
550
6
BER and FER Performance Comparison: LCSS/CDMA vs Q-CDMA
556
3
Cipher Quasi-Chaotic Sequences
559
8
A Chaotic Interleaver Used in Turbo Coding
567
4
Concluding Remarks
571
6
Image Processing in Tunneling Phase Logic Cellular Nonlinear Networks
577
16
T. Yang
R. A. Kiehl
L. O. Chua
Introduction
578
1
Deterministic Model of Isolated Tunneling Phase Logic Element
579
2
One-Dimensional TPL-CNN
581
2
Two-Dimensional TPL-CNN
583
3
Image Processing Abilities
586
4
Concluding Remarks
590
3
Numerical Approaches to Bifurcation Analysis
593
18
T. Ueta
H. Kawakami
Introduction
594
1
Poincare Map
595
3
Computation of Bifurcation Parameter Values
598
5
Simulation Examples
603
4
An Application- Isocline with the argument
607
1
Comparison with Conventional Methods
608
1
Conclusions
609
2
Chaos in One-Dimensional Maps
611
28
M. A. van Wyk
W.-H. Steeb
Introduction
612
1
One-Dimensional Maps
612
1
Orbits and Their Properties
613
6
Hyperbolicity
619
2
Stability
621
1
Topological Conjugacy
622
2
Chaos
624
3
Variational Equation and Lyapunov Exponent
627
2
Invariant Density and Ergodic Theorem
629
7
Conclusions
636
3
Index
639