Cellular Neural Networks, Multi-scroll Chaos And Synchronization,9789812561619

Cellular Neural Networks, Multi-scroll Chaos And Synchronization

by ; ;
Edition: 50th
ISBN13: 9789812561619
ISBN10: 9812561617
Format: Hardcover
Pub. Date: 2005-04-28
Publisher(s): World Scientific Pub Co Inc
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Summary

For engineering applications that are based on nonlinear phenomena, novel information processing systems require new methodologies and design principles. This perspective is the basis of the three cornerstones of this book: cellular neural networks, chaos and synchronization. Cellular neural networks and their universal machine implementations offer a well-established platform for processing spatial-temporal patterns and wave computing. Multi-scroll circuits are generalizations to the original Chua's circuit, leading to chip implementable circuits with increasingly complex attractors. Several applications make use of synchronization techniques for nonlinear systems. A systematic overview is given for Lur'e representable systems with global synchronization criteria for master-slave and mutual synchronization, robust synchronization, HV synchronization, time-delayed systems and impulsive synchronization.

Table of Contents

Preface vii
1. Introduction 1(14)
1.1 Nonlinear systems in engineering
1(2)
1.2 This book
3(2)
1.3 Chapter by chapter overview
5(6)
1.4 Main contributions
11(4)
2. Cellular Neural/Nonlinear Networks 15(30)
2.1 CNN
15(6)
2.1.1 1-D CNNs
16(2)
2.1.2 2-D CNNs
18(3)
2.2 CNN models
21(6)
2.2.1 Chua-Yang CNN model
21(1)
2.2.2 State controlled CNN (SC-CNN) model
22(1)
2.2.3 Full-range CNN model
22(2)
2.2.4 Reaction-diffusion CNN model
24(1)
2.2.5 Generalized CNN models
25(5)
2.2.5.1 A generalized CNN model: nonlinear and delay CNNs
25(1)
2.2.5.2 Another generalized CNN model
26(1)
2.2.5.3 A generalized CNN based on Chua's circuit
27(1)
2.3 CNN universal machine: a visual microprocessor
27(3)
2.4 New research directions in CNNs
30(14)
2.4.1 Wave computing algorithm
30(2)
2.4.2 Coupled local minimizers
32(3)
2.4.3 Pattern formation on the ACE16k CNN Chip
35(5)
2.4.3.1 Experimental results: Autowaves
38(1)
2.4.3.2 Experimental results: Spiral waves
39(1)
2.4.4 Propagation of autowaves on the inhomogeneous CNN arrays
40(4)
2.5 Conclusion
44(1)
3. Multi-Scroll Chaotic and Hyperchaotic Attractors 45(60)
3.1 Chua's circuit
46(12)
3.1.1 Chaos in Chua's circuit
47(10)
3.1.1.1 The Shilnikov method
47(5)
3.1.1.2 Harmonic balance method
52(5)
3.1.2 Realization of Chua's circuit
57(1)
3.2 Generalized Chua's circuit
58(15)
3.2.1 Realization of n-scroll attractors from generalized Chua's circuits
63(10)
3.2.1.1 Realization of 3- and 5-scroll attractors
64(5)
3.2.1.2 On the realization of n-scroll attractors
69(2)
3.2.1.3 Alternative realizations of n-scroll attractors
71(2)
3.3 Families of scroll grid attractors
73(18)
3.3.1 A new family of n-scroll attractors
75(2)
3.3.2 2-D scroll grid attractors
77(4)
3.3.3 3-D scroll grid attractors
81(2)
3.3.4 Circuit realizations
83(6)
3.3.5 Alternative realizations
89(2)
3.4 Multi-scroll hyperchaotic attractors
91(3)
3.4.1 Hyperchaotic n-scroll attractors
91(1)
3.4.2 n-Scroll hypercube attractors
92(2)
3.5 Scroll maps from n-scroll attractors
94(6)
3.5.1 1-Scroll and 2-scroll maps
95(3)
3.5.2 Circuit realization of a 1-scroll map
98(2)
3.6 Lur'e representations
100(4)
3.7 Conclusion
104(1)
4. Synchronization of Chaotic Lur'e Systems 105(50)
4.1 Synchronization
105(4)
4.2 Master-slave synchronization: autonomous case
109(4)
4.2.1 Full static state error feedback
109(2)
4.2.2 Dynamic output feedback
111(2)
4.3 Robust synchronization
113(5)
4.3.1 Full static state error feedback
114(2)
4.3.2 Dynamic output feedback
116(2)
4.4 Time-delay synchronization scheme
118(7)
4.4.1 Error system for the time-delay synchronization scheme
119(2)
4.4.2 Delay-dependent synchronization criterion
121(3)
4.4.3 Full static state feedback together with time delay
124(1)
4.5 Nonlinear Hinfinity synchronization: non-autonomous case
125(6)
4.5.1 Full static state error feedback
125(4)
4.5.2 Dynamic output feedback
129(2)
4.6 Robust nonlinear Hinfinity synchronization
131(4)
4.6.1 Full static state error feedback
131(3)
4.6.2 Dynamic output feedback
134(1)
4.7 Impulsive synchronization
135(3)
4.7.1 State feedback case
136(1)
4.7.2 Measurement feedback case
137(1)
4.8 Controller design
138(4)
4.8.1 Master-slave synchronization
139(1)
4.8.2 Robust synchronization
140(1)
4.8.3 Synchronization with time-delay
140(1)
4.8.4 Nonlinear Hinfinity synchronization
141(1)
4.8.5 Robust nonlinear Hinfinity synchronization
141(1)
4.9 Examples
142(12)
4.9.1 Master-slave synchronization of two unidirectionally coupled Chua's circuits
142(3)
4.9.2 Experimental confirmation of time-delay synchronization scheme
145(4)
4.9.3 Experimental confirmation of nonlinear Hinfinity synchronization for Chua's circuit and 5-scroll attractors
149(5)
4.10 Conclusion
154(1)
5. Engineering Applications 155(46)
5.1 Chaos in communications
155(5)
5.1.1 Modulation and demodulation based on chaos
156(3)
5.1.1.1 Static modulation methods
157(1)
5.1.1.2 Dynamic modulation methods
157(2)
5.1.2 The role of new synchronization schemes
159(1)
5.2 Chaotic systems in optimization
160(6)
5.2.1 Chaotic annealing
162(1)
5.2.2 Coupled chaotic annealing
162(2)
5.2.3 Illustrative examples
164(2)
5.3 Random number generators and cryptography
166(20)
5.3.1 TRNG from a double scroll attractor
168(10)
5.3.1.1 Bit generation
170(3)
5.3.1.2 De-skewing and setting the threshold
173(2)
5.3.1.3 Statistical tests
175(3)
5.3.2 Binary pseudorandom pattern generation on CNN-UM
178(8)
5.3.2.1 PPGs from 1-D rules
180(2)
5.3.2.2 PPGs from 2-D rules
182(1)
5.3.2.3 Experimental results on the CNN-UM chip
182(2)
5.3.2.4 A general comparison
184(2)
5.4 Image/Video authentication on CNN-UM
186(8)
5.4.1 Fragile watermarking
187(2)
5.4.2 Fragile watermarking on the CNN-UM for image authentication
189(1)
5.4.3 Fragile watermarking on the CNN-UM for video authentication
190(1)
5.4.4 Experimental results on the CNN-UM chip
190(4)
5.5 CNN template tuning
194(4)
5.5.1 Erroneous chip behavior and template robustness
194(2)
5.5.2 Experiments
196(2)
5.6 Conclusions
198(3)
6. General Conclusions and Future Work 201(2)
Bibliography 203(22)
Notation 225(4)
Index 229

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