Conley Index Theory with Applications to Cellular Neural Networks

博士 === 國立清華大學 === 數學系 === 89 === This paper investigates some problems of lattice dynamical systems originated from cellular neural networks. Two methods are introdued as tools to study stationary and periodic solutions. In this work, we use dual system method to find stationary solutions and use Co...

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Main Authors: Shyh-Wen Chen, 陳世文
Other Authors: Wen-Wei Lin
Format: Others
Language:zh-TW
Published: 2001
Online Access:http://ndltd.ncl.edu.tw/handle/81751001300609473853
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spelling ndltd-TW-089NTHU04790282016-07-04T04:17:19Z http://ndltd.ncl.edu.tw/handle/81751001300609473853 Conley Index Theory with Applications to Cellular Neural Networks Conley指標理論在元胞類神經網絡之應用 Shyh-Wen Chen 陳世文 博士 國立清華大學 數學系 89 This paper investigates some problems of lattice dynamical systems originated from cellular neural networks. Two methods are introdued as tools to study stationary and periodic solutions. In this work, we use dual system method to find stationary solutions and use Conley index theory to get a sufficient condition of periodic solutions. Wen-Wei Lin 林文偉 2001 學位論文 ; thesis 51 zh-TW
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language zh-TW
format Others
sources NDLTD
description 博士 === 國立清華大學 === 數學系 === 89 === This paper investigates some problems of lattice dynamical systems originated from cellular neural networks. Two methods are introdued as tools to study stationary and periodic solutions. In this work, we use dual system method to find stationary solutions and use Conley index theory to get a sufficient condition of periodic solutions.
author2 Wen-Wei Lin
author_facet Wen-Wei Lin
Shyh-Wen Chen
陳世文
author Shyh-Wen Chen
陳世文
spellingShingle Shyh-Wen Chen
陳世文
Conley Index Theory with Applications to Cellular Neural Networks
author_sort Shyh-Wen Chen
title Conley Index Theory with Applications to Cellular Neural Networks
title_short Conley Index Theory with Applications to Cellular Neural Networks
title_full Conley Index Theory with Applications to Cellular Neural Networks
title_fullStr Conley Index Theory with Applications to Cellular Neural Networks
title_full_unstemmed Conley Index Theory with Applications to Cellular Neural Networks
title_sort conley index theory with applications to cellular neural networks
publishDate 2001
url http://ndltd.ncl.edu.tw/handle/81751001300609473853
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AT chénshìwén conleyindextheorywithapplicationstocellularneuralnetworks
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AT chénshìwén conleyzhǐbiāolǐlùnzàiyuánbāolèishénjīngwǎngluòzhīyīngyòng
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