Cellular Neural Networks: Adding A Quadratic Term

碩士 === 國立交通大學 === 應用數學系 === 90 === In this paper, we study a cellular neural network(CNN) with a quadratic term x^2 in the integer lattice Z^2 on the plane R^2. We impose a symmetric coupling between nearest neighbors and use two parameters to describe the...

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Main Authors: Tien-Lung Chang, 張天龍
Other Authors: Jonq Juang
Format: Others
Language:en_US
Published: 2002
Online Access:http://ndltd.ncl.edu.tw/handle/20886203975517397564
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spelling ndltd-TW-090NCTU05070082015-10-13T10:07:34Z http://ndltd.ncl.edu.tw/handle/20886203975517397564 Cellular Neural Networks: Adding A Quadratic Term 類神經網路的花式 Tien-Lung Chang 張天龍 碩士 國立交通大學 應用數學系 90 In this paper, we study a cellular neural network(CNN) with a quadratic term x^2 in the integer lattice Z^2 on the plane R^2. We impose a symmetric coupling between nearest neighbors and use two parameters to describe the weight between such interacting cells. The existence and stability of mosaic patterns are been proved. We also investigate the relationship between mosaic patterns and the parameter space. Jonq Juang 莊重 2002 學位論文 ; thesis 16 en_US
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language en_US
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sources NDLTD
description 碩士 === 國立交通大學 === 應用數學系 === 90 === In this paper, we study a cellular neural network(CNN) with a quadratic term x^2 in the integer lattice Z^2 on the plane R^2. We impose a symmetric coupling between nearest neighbors and use two parameters to describe the weight between such interacting cells. The existence and stability of mosaic patterns are been proved. We also investigate the relationship between mosaic patterns and the parameter space.
author2 Jonq Juang
author_facet Jonq Juang
Tien-Lung Chang
張天龍
author Tien-Lung Chang
張天龍
spellingShingle Tien-Lung Chang
張天龍
Cellular Neural Networks: Adding A Quadratic Term
author_sort Tien-Lung Chang
title Cellular Neural Networks: Adding A Quadratic Term
title_short Cellular Neural Networks: Adding A Quadratic Term
title_full Cellular Neural Networks: Adding A Quadratic Term
title_fullStr Cellular Neural Networks: Adding A Quadratic Term
title_full_unstemmed Cellular Neural Networks: Adding A Quadratic Term
title_sort cellular neural networks: adding a quadratic term
publishDate 2002
url http://ndltd.ncl.edu.tw/handle/20886203975517397564
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