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Cellular neural networks: theory

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TLDR
In this article, a class of information processing systems called cellular neural networks (CNNs) are proposed, which consist of a massive aggregate of regularly spaced circuit clones, called cells, which communicate with each other directly through their nearest neighbors.
Abstract
A novel class of information-processing systems called cellular neural networks is proposed. Like neural networks, they are large-scale nonlinear analog circuits that process signals in real time. Like cellular automata, they consist of a massive aggregate of regularly spaced circuit clones, called cells, which communicate with each other directly only through their nearest neighbors. Each cell is made of a linear capacitor, a nonlinear voltage-controlled current source, and a few resistive linear circuit elements. Cellular neural networks share the best features of both worlds: their continuous-time feature allows real-time signal processing, and their local interconnection feature makes them particularly adapted for VLSI implementation. Cellular neural networks are uniquely suited for high-speed parallel signal processing. >

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Citations
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Journal ArticleDOI

Analysis and design of associative memories based on recurrent neural network with discontinuous activation functions

TL;DR: This paper considers a recurrent neural network with a special class of discontinuous activation function which is piecewise constants in the state space which is suitable for synthesizing high-capacity associative memories.
Journal ArticleDOI

Edge of Chaos and Local Activity Domain of FitzHugh-Nagumo Equation

TL;DR: The potential of the local activity theory as a novel tool in nonlinear dynamics not only from the perspective of understanding the genesis and emergence of complexity, but also as an efficient tool for choosing cell parameters in such a way that the resulting CNN is endowed with a brain-like information processing capability is demonstrated.
Journal ArticleDOI

On the Exponential Stability and Periodic Solutions of Delayed Cellular Neural Networks

TL;DR: In this paper, a set of criteria for the global exponential stability and the existence of periodic solutions of delayed cellular neural networks (DCNNs) by constructing suitable Lyapunov functionals, introducing many parameters and combining with the elementary inequality technique is presented.
Journal ArticleDOI

Attractors for stochastic lattice dynamical systems with a multiplicative noise

TL;DR: In this article, the existence of a compact global random attractor which, pulled back, attracts tempered random bounded sets was shown to exist in a stochastic lattice differential equation with diffusive nearest neighbor interaction, a dissipative nonlinear reaction term and multiplicative white noise at each node.
Journal ArticleDOI

Stability of cellular neural networks with opposite-sign templates

TL;DR: A thorough stability analysis of this type of CNNs which shows the dependence of complete stability on the template values is presented and Parameter regions for complete stability and instability are determined and the parameter region for the functionality of CCD is given.
References
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Journal ArticleDOI

Neural networks and physical systems with emergent collective computational abilities

TL;DR: A model of a system having a large number of simple equivalent components, based on aspects of neurobiology but readily adapted to integrated circuits, produces a content-addressable memory which correctly yields an entire memory from any subpart of sufficient size.
Book

Self Organization And Associative Memory

Teuvo Kohonen
TL;DR: The purpose and nature of Biological Memory, as well as some of the aspects of Memory Aspects, are explained.
Journal ArticleDOI

Neurons with graded response have collective computational properties like those of two-state neurons.

TL;DR: A model for a large network of "neurons" with a graded response (or sigmoid input-output relation) is studied and collective properties in very close correspondence with the earlier stochastic model based on McCulloch - Pitts neurons are studied.
Book

Neurons with graded response have collective computational properties like those of two-state neurons

TL;DR: In this article, a model for a large network of "neurons" with a graded response (or sigmoid input-output relation) is studied, which has collective properties in very close correspondence with the earlier stochastic model based on McCulloch--Pitts neurons.
Journal ArticleDOI

Neural computation of decisions in optimization problems

TL;DR: Results of computer simulations of a network designed to solve a difficult but well-defined optimization problem-the Traveling-Salesman Problem-are presented and used to illustrate the computational power of the networks.
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