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Tables of Contents for Cellular Neural Networks
Chapter/Section Title
Page #
Page Count
Part I. Circuit Theory and Applications of CNNs
CNN Basics
3
22
The CNN of Chua and Yang
3
12
The Cell
4
1
The CNN Array
5
2
More About Templates
7
2
Multilayer CNNs
9
1
The CNN as an Analog Processor
10
1
Some Stability Results
11
4
Main Generalizations
15
5
Nonlinear CNNs and Delay CNNs
15
2
Nonuniform Processor CNNs and Multiple Neighborhood Size CNNs
17
1
Discrete-Time CNNs
17
2
The CNN Universal Machine
19
1
A Formal Definition
20
3
The Cells and Their Coupling
20
2
Boundary Conditions
22
1
Summary
23
2
Some Applications of CNNs
25
18
CNN-Based Image Pre-processing for the Automatic Classification of Fruits
25
3
The Pre-filtering
26
2
Processing of NMR Spectra
28
7
Two-Dimensional NMR Spectra
29
1
Processing of NMR Spectra with CNNs
30
2
Description of the Dual Algorithm
32
3
Air Quality Modeling
35
5
Models
35
1
CNNs for Air Quality Modeling
36
3
Examples
39
1
Conclusions
40
3
The CNN as a Generator of Nonlinear Dynamics
43
36
The State Controlled CNN Model
44
3
Discrete Components Realization of SC-CNN Cells
45
2
Chua, Oscillator Dynamics Generated by the SC-CNN
47
4
Main Result
47
2
Experimental Results
49
2
Chaotic Dynamics of a Colpitts Oscillator
51
4
Hysteresis Hyperchaotic Oscillator
55
3
n-Double Scroll Attractors
58
8
A New Realization of the n-Double Scroll Family
58
7
n-Double Scrolls in SC-CNNs
65
1
Nonlinear Dynamics Potpourri
66
9
A Non-autonomous Second Order Chaotic Circuit
66
2
A Circuit with a Nonlinear Reactive Element
68
2
Canards and Chaos
70
2
Multimode Chaos in Coupled Oscillators
72
2
Coupled Circuits
74
1
General Case and Conclusions
75
4
Theoretical Implications
77
1
Practical Implications
77
2
Synchronization
79
26
Background
79
2
Pecora--Carroll Approach
80
1
Inverse System Approach
81
1
Experimental Signal Transmission Using Synchronized SC-CNN
81
12
Circuit Description
82
1
Synchronization: Results of Experiment and Simulation
83
3
Non-ideal Channel Effects
86
1
Effects of Additive Noise and Disturbances on the Channel
87
6
Chaotic System Identification
93
8
Description of the Algorithm
93
2
Identification of the Chua Oscillator
95
1
Examples
96
5
Summary and Conclusions
101
4
Spatio-temporal Phenomena
105
28
Analysis of the Cell
105
7
Fixed Points
107
2
Limit Cycle and Bifurcations
109
1
Slow--Fast Dynamics
110
2
Some Simulation Results
112
1
The Two-Layer CNN
112
3
Traveling Wavefronts
115
5
Autowaves
116
2
Labyrinths
118
2
Pattern Formation
120
7
Condition for the Existence of Turing Patterns in Arrays of Coupled Circuits
121
1
Turing Patterns in the Two-Layer CNN
122
2
Simulation Results
124
3
Sensitivity to Parametric Uncertainties and Noise
127
5
Spiral Wave: Parametric Uncertainty
127
2
Spiral Waves: Presence of Noise in the Initial Conditions
129
1
Patterns: Parametric Uncertainties
130
2
Summary and Conclusions
132
1
Experimental CNN Setup and Applications to Motion Control
133
34
The Experimental Setup
134
8
Realization of the Cell for Autowave Generation
135
1
Realization of the Cell for Pattern formation
136
2
Realization of the Laplacian Couplings and Boundary Conditions
138
1
Realization of the Main Board
139
1
Autowave Experiments
140
2
Pattern Formation and Propagation
142
7
CNNs for Generating and Controlling Artificial Locomotion
149
11
Links to Biological Locomotion
149
3
WORMBOT: A Ring-Worm-like Walking Robot
152
2
REXABOT: An Hexapode Reaction-Diffusion Walking Robot
154
5
READIBELT: Reaction Diffusion Conveyor Belt Autowave Driven
159
1
Conclusion
160
7
Part II. Implementation and Design
A Four Quadrant S2I Switched-Current Multiplier
167
22
Detailed Analysis of the S2I Memory Cell
168
5
The Multiplier Architecture
173
4
Analysis and Design of the S2I Multiplier
177
5
Circuit Analysis of the Multiplier
177
3
Circuit Design
180
2
Experimental Performance Evaluation
182
4
Summary
186
3
A One-Dimensional Discrete-Time CNN Chip for Audio Signal Processing
189
16
System Architecture
189
1
The Tapped Delay Line
190
2
CNN Cells
192
5
Multiplier and Ancillary Circuitry
193
4
Cell Behavior and Hardware Multiplexing
197
2
Results and Example
199
4
Summary
203
2
A. Mathematical Background
205
20
Topology
205
1
Operations and Functions
206
1
Matrices
207
1
Dimension
207
1
Dynamical Systems: Basic Definitions
208
1
Steady-State Behavior
209
3
Classification of Asymptotic Behavior
210
2
Stability
212
8
Stability of equilibrium points
212
5
Stability of Limit Cycles
217
2
Lyapunov Exponents
219
1
Topological Equivalence and Conjugacy, Structural Stability and Bifurcations
220
1
Silnikov Method
221
1
Particular Results for Two-Dimensional Flows
222
3
B Library of Templates
225
34
References
259
12
Index
271