On Camel-Like Traveling Wave Solutionsin Cellular Neural Networks with Distributive Delay

碩士 === 國立中央大學 === 數學研究所 === 92 === In this thesis, we study the camel-like traveling wave solutions for a class of delayed cellular neural networks distributed in the one-dimensional integer lattice Z. The dynamics of a given cell is characterized by instantaneous self-feedback and neighborhood int...

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Main Authors:	Chun-Hsien Li, 李俊憲
Other Authors:	Suh-Yuh Yang
Format:	Others
Language:	en_US
Published:	2004
Online Access:	http://ndltd.ncl.edu.tw/handle/74209980598387346588

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spelling	ndltd-TW-092NCU054790062015-10-13T13:04:43Z http://ndltd.ncl.edu.tw/handle/74209980598387346588 On Camel-Like Traveling Wave Solutionsin Cellular Neural Networks with Distributive Delay 遲滯型細胞神經網路似駝峰行進波之研究 Chun-Hsien Li 李俊憲碩士國立中央大學數學研究所 92 In this thesis, we study the camel-like traveling wave solutions for a class of delayed cellular neural networks distributed in the one-dimensional integer lattice Z. The dynamics of a given cell is characterized by instantaneous self-feedback and neighborhood interaction with its nearest m left neighbors with distributive delay due to, for example, finite switching speed and finite velocity of signal transmission. Using the method of step, we can directly figure out the analytic solution and then prove that, in addition to the existence of monotonic traveling wave solutions, for certain templates there exist non-monotonic traveling wave solutions such as camel-like waves with many critical points. Some numerical results are also given. Suh-Yuh Yang 楊肅煜 2004 學位論文 ; thesis 31 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立中央大學 === 數學研究所 === 92 === In this thesis, we study the camel-like traveling wave solutions for a class of delayed cellular neural networks distributed in the one-dimensional integer lattice Z. The dynamics of a given cell is characterized by instantaneous self-feedback and neighborhood interaction with its nearest m left neighbors with distributive delay due to, for example, finite switching speed and finite velocity of signal transmission. Using the method of step, we can directly figure out the analytic solution and then prove that, in addition to the existence of monotonic traveling wave solutions, for certain templates there exist non-monotonic traveling wave solutions such as camel-like waves with many critical points. Some numerical results are also given.
author2	Suh-Yuh Yang
author_facet	Suh-Yuh Yang Chun-Hsien Li 李俊憲
author	Chun-Hsien Li 李俊憲
spellingShingle	Chun-Hsien Li 李俊憲 On Camel-Like Traveling Wave Solutionsin Cellular Neural Networks with Distributive Delay
author_sort	Chun-Hsien Li
title	On Camel-Like Traveling Wave Solutionsin Cellular Neural Networks with Distributive Delay
title_short	On Camel-Like Traveling Wave Solutionsin Cellular Neural Networks with Distributive Delay
title_full	On Camel-Like Traveling Wave Solutionsin Cellular Neural Networks with Distributive Delay
title_fullStr	On Camel-Like Traveling Wave Solutionsin Cellular Neural Networks with Distributive Delay
title_full_unstemmed	On Camel-Like Traveling Wave Solutionsin Cellular Neural Networks with Distributive Delay
title_sort	on camel-like traveling wave solutionsin cellular neural networks with distributive delay
publishDate	2004
url	http://ndltd.ncl.edu.tw/handle/74209980598387346588
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On Camel-Like Traveling Wave Solutionsin Cellular Neural Networks with Distributive Delay

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