Synopsis
I. Circuit Theory and Applications of CNNs.- 1. CNN Basics.- 1.1 The CNN of Chua and Yang.- 1.1.1 The Cell.- 1.1.2 The CNN Array.- 1.1.3 More About Templates.- 1.1.4 Multilayer CNNs.- 1.1.5 The CNN as an Analog Processor.- 1.1.6 Some Stability Results.- 1.2 Main Generalizations.- 1.2.1 Nonlinear CNNs and Delay CNNs.- 1.2.2 Nonuniform Processor CNNs and Multiple Neighborhood Size CNNs.- 1.2.3 Discrete-Time CNNs.- 1.2.4 The CNN Universal Machine.- 1.3 A Formal Definition.- 1.3.1 The Cells and Their Coupling.- 1.3.2 Boundary Conditions.- 1.4 Summary.- 2. Some Applications of CNNs.- 2.1 CNN-Based Image Pre-processing for the Automatic Classification of Fruits.- 2.1.1 The Pre-filtering.- 2.2 Processing of NMR Spectra.- 2.2.1 Two-Dimensional NMR Spectra.- 2.2.2 Processing of NMR Spectra with CNNs.- 2.2.3 Description of the Dual Algorithm.- 2.3 Air Quality Modeling.- 2.3.1 Models.- 2.3.2 CNNs for Air Quality Modeling.- 2.3.3 Examples.- 2.4 Conclusions.- 3. The CNN as a Generator of Nonlinear Dynamics.- 3.1 The State Controlled CNN Model.- 3.1.1 Discrete Components Realization of SC-CNN Cells.- 3.2 Chua Oscillator Dynamics Generated by the SC-CNN.- 3.2.1 Main Result.- 3.2.2 Experimental Results.- 3.3 Chaotic Dynamics of a Colpitts Oscillator.- 3.4 Hysteresis Hyperchaotic Oscillator.- 3.5 n-Double Scroll Attractors.- 3.5.1 A New Realization of the n-Double Scroll Family.- 3.5.2 n-Double Scrolls in SC-CNNs.- 3.6 Nonlinear Dynamics Potpourri.- 3.6.1 A Non-autonomous Second Order Chaotic Circuit.- 3.6.2 A Circuit with a Nonlinear Reactive Element.- 3.6.3 Canards and Chaos.- 3.6.4 Multimode Chaos in Coupled Oscillators.- 3.6.5 Coupled Circuits.- 3.7 General Case and Conclusions.- 3.7.1 Theoretical Implications.- 3.7.2 Practical Implications.- 4. Synchronization.- 4.1 Background.- 4.1.1 Pecora-Carroll Approach.- 4.1.2 Inverse System Approach.- 4.2 Experimental Signal Transmission Using Synchronized SC-CNN.- 4.2.1 Circuit Description.- 4.2.2 Synchronization: Results of Experiment and Simulation.- 4.2.3 Non-ideal Channel Effects.- 4.2.4 Effects of Additive Noise and Disturbances on the Channel.- 4.3 Chaotic System Identification.- 4.3.1 Description of the Algorithm.- 4.3.2 Identification of the Chua Oscillator.- 4.3.3 Examples.- 4.4 Summary and Conclusions.- 5. Spatio-temporal Phenomena.- 5.1 Analysis of the Cell.- 5.1.1 Fixed Points.- 5.1.2 Limit Cycle and Bifurcations.- 5.1.3 Slow-Fast Dynamics.- 5.1.4 Some Simulation Results.- 5.2 The Two-Layer CNN.- 5.3 Traveling Wavefronts.- 5.3.1 Autowaves.- 5.3.2 Labyrinths.- 5.4 Pattern Formation.- 5.4.1 Condition for the Existence of Turing Patterns in Arrays of Coupled Circuits.- 5.4.2 Turing Patterns in the Two-Layer CNN.- 5.4.3 Simulation Results.- 5.5 Sensitivity to Parametric Uncertainties and Noise.- 5.5.1 Spiral Wave: Parametric Uncertainty.- 5.5.2 Spiral Waves: Presence of Noise in the Initial Conditions.- 5.5.3 Patterns: Parametric Uncertainties.- 5.6 Summary and Conclusions.- 6. Experimental CNN Setup and Applications to Motion Control.- 6.1 The Experimental Setup.- 6.1.1 Realization of the Cell for Autowave Generation.- 6.1.2 Realization of the Cell for Pattern formation.- 6.1.3 Realization of the Laplacian Couplings and Boundary Conditions.- 6.1.4 Realization of the Main Board.- 6.1.5 Autowave Experiments.- 6.2 Pattern Formation and Propagation.- 6.3 CNNs for Generating and Controlling Artificial Locomotion.- 6.3.1 Links to Biological Locomotion.- 6.3.2 WORMBOT: A Ring-Worm-like Walking Robot.- 6.3.3 REXABOT: An Hexapode Reaction-Diffusion Walking Robot.- 6.3.4 READIBELT: Reaction Diffusion Conveyor Belt Autowave Driven.- 6.4 Conclusion.- II. Implementation and Design.- 7. A Four Quadrant S2I Switched-Current Multiplier.- 7.1 Detailed Analysis of the S2I Memory Cell.- 7.2 The Multiplier Architecture.- 7.3 Analysis and Design of the S2I Multiplier.- 7.3.1 Circuit Analysis of the Multiplier.- 7.3.2 Circuit Design.- 7.4 Experimental Performance Evaluation.- 7.5 Summary.- 8. A One-Dimensional
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