Cellular Neural Networks: Dynamics and Modelling (Hardcover, 2003)

Preface. 1: Basic theory about CNNs. 1.1. Introduction to the CNN paradigm. 1.2. Main types of CNN equations. 1.3. Theorems and results on CNN stability. 1.4. Examples. 2: Dynamics of nonlinear and delay CNNs. 2.1. Nonlinear CNNs. 2.2. CNN with delay. 2.3. Examples. 3: Hysteresis and chaos in CNNs. 3.1. CNNs with hystersis in the feedback system. 3.2. Nonlinear CNNs with hysteresis in the output dynamics. 3.3. Feedback and hysteresis. 3.4. Control of chaotic CNNs. 4: CNN modelling in biology, physics and ecology. 4.1. Modelling PDEs via CNNs. 4.2. CNN model of Sine-Gordon equation. 4.3. CNN model of FitzHugh-Nagumo equation. 4.4. CNN model of Fisher's equation. 4.5. CNN model of Brusselator equation. 4.6. CNN model of Toda Lattice equation. 4.7. Lotka-Volterra equation and its CNN model. 5: Appendix A: Topological degree method. 6: Appendix B: Hysteresis and its models. 7: Appendix C: Describing function method and its application for analysis of Cellular Neural Networks. References. Index.