Cellular Neural Networks: Theory and Applications

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Angela Slavova, Valeri Mladenov
Nova Publishers, 2004 - Science - 183 pages
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This book deals with new theoretical results for studyingCellular Neural Networks (CNNs) concerning its dynamical behavior. Newaspects of CNNs' applications are developed for modelling of somefamous nonlinear partial differential equations arising in biology, genetics, neurophysiology, physics, ecology, etc. The analysis ofCNNs' models is based on the harmonic balance method well known incontrol theory and in the study of electronic oscillators. Suchphenomena as hysteresis, bifurcation and chaos are studied for CNNs.The topics investigated in the book involve several scientificdisciplines, such as dynamical systems, applied mathematics, mathematical modelling, information processing, biology andneurophysiology. The reader will find comprehensive discussion on thesubject as well as rigorous mathematical analyses of networks ofneurons from the view point of dynamical systems. The text is writtenas a textbook for senior undergraduate and graduate students inapplied mathematics. Providing a summary of recent results on dynamicsand modelling of CNNs, the book will also be of interest to allresearchers in the area.
 

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Contents

Introduction to Cellular Neural Networks
1
Theory of Cellular Neural Networks Mathematical Point of View
23
Stability Analysis of Bidirectional Associative Memory Cellular Neural Networks with Time Delays
59
On the Dynamics of Some Classes of Cellular Neural Networks
77
SpatioTemporal Phenomena in Two dimensional Cellular Nonlinear Networks
97
Travelling Waves in FitzHughNagumo Cellular Neural Network Model
113
CNN Applications in Modeling and Solving NonElectrical Problems
135
Cellular Neural Networks for Obstacle Detection in Stereo Vision Imagery
173
Object Tracking and Exact Colour Reproduction for Medical Imaging
181
Criteria for Trained Neural Networks with Appliance in Passive Radiolocation
191
Index
203
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