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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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Journal ArticleDOI

Pattern memory analysis based on stability theory of cellular neural networks

TL;DR: Several sufficient conditions are obtained to guarantee that the n-dimensional cellular neural network can have even (⩽2n) memory patterns, and the estimations of attractive domain of such stable memory patterns are obtained.
Journal ArticleDOI

On global dynamic behavior of weakly connected oscillatory networks

TL;DR: The proposed technique significantly extends the results available in the literature and can be applied to almost all complex networks of oscillators, in particular two-dimensional, space variant and fully connected networks can be dealt with here.
Journal ArticleDOI

Pixel-level snakes on the CNNUM: algorithm design, on-chip implementation and applications

TL;DR: A new algorithm for the cellular active contour technique called pixel‐level snakes is proposed, based on the analysis of previous schemes the contour evolution is improved and a new approach to manage the topological transformations is incorporated.
Journal ArticleDOI

Global Lagrange stability for neutral-type Cohen-Grossberg BAM neural networks with mixed time-varying delays

TL;DR: The paper discusses global Lagrange stability for a class of Cohen-Grossberg BAM neural networks of neutral-type with multiple time-varying and finite distributed delays by constructing appropriate Lyapunov-like functions.
Journal ArticleDOI

Existence and global p-exponential stability of periodic solution for impulsive stochastic neural networks with delays

TL;DR: In this article, the authors considered a class of impulsive stochastic neural networks with delays and established new integral inequalities and used the properties of spectral radius of nonnegative matrix.
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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