Cellular Neural Networks

The book is about new applications of cellular neural networks, new theoretical results and implementation issues. The reader will find thorough discussion on the subject, ranging from the highest-level aspects treated in rigorous analytic way, to the technological challenges and the circuit design aspects.

This book covers the whole spectrum of cellular neural networks. Examples, simulation results, and experimental results are complemented by theoretical discussions throughout the whole book. Includes supplementary material: sn.pub/extras

Zusammenfassung

From the reviews:

"The book is divided into eight chapters and each of them guides us through one area where the CNNs can be used ... . I recommend the publication to everybody, who is interested in the CNN and its application and implementation, but also to those who face some of the technologies described there, such as nonlinear dynamics, synchronization, signal processing or motion control, because the CNN can show a quite novel and beneficial point of view." (Václav Dekanovský, Neural Network World, Vol. 15 (5), 2005)

Inhalt
I. Circuit Theory and Applications of CNNs.- 1. CNN Basics.- 2. Some Applications of CNNs.- 3. The CNN as a Generator of Nonlinear Dynamics.- 4. Synchronization.- 5. Spatio-temporal Phenomena.- 6. Experimental CNN Setup and Applications to Motion Control.- II. Implementation and Design.- 7. A Four Quadrant S2I Switched-Current Multiplier.- 8. A One-Dimensional Discrete-Time CNN Chip for Audio Signal Processing.- A. Mathematical Background.- A.1 Topology.- A.2 Operations and Functions.- A.3 Matrices.- A.4 Dimension.- A.5 Dynamical Systems: Basic Definitions.- A.6 Steady-State Behavior.- A.6.1 Classification of Asymptotic Behavior.- A.7 Stability.- A.7.1 Stability of equilibrium points.- A.7.2 Stability of Limit Cycles.- A.7.3 Lyapunov Exponents.- A.8 Topological Equivalence and Conjugacy, Structural Stability and Bifurcations.- A.9 Silnikov Method.- A.10 Particular Results for Two-Dimensional Flows.- B. Library of Templates.- References.