博碩士論文 91221013 完整後設資料紀錄

DC 欄位	值	語言
DC.contributor	數學系	zh_TW
DC.creator	李俊憲	zh_TW
DC.creator	Chun-Hsien Li	en_US
dc.date.accessioned	2004-6-9T07:39:07Z
dc.date.available	2004-6-9T07:39:07Z
dc.date.issued	2004
dc.identifier.uri	http://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=91221013
dc.contributor.department	數學系	zh_TW
DC.description	國立中央大學	zh_TW
DC.description	National Central University	en_US
dc.description.abstract	這篇論文主要研究散佈在一維整數網格上的遲滯型細胞神經網路似駝峰行進波的種類。細胞元之間的動態行為除了有瞬時的自身回饋外，由於信號傳播轉換速度的關係，會與左邊最鄰近的m個細胞元產生遲滯相互作用。在本文中，我們使用階梯法直接勾勒出解析解的形式，並進一步證明除了單調行進波的存在性外，在某些適當條件下，亦存在似駝峰的非單調行進波。最後我們也搭配一些數值結果來驗證理論分析。	zh_TW
dc.description.abstract	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.	en_US
DC.subject	網格動態系統	zh_TW
DC.subject	似駝峰行進波	zh_TW
DC.subject	遲滯型細胞神經網路	zh_TW
DC.subject	階梯法	zh_TW
DC.subject	lattice dynamical systems	en_US
DC.subject	camel-like traveling waves	en_US
DC.subject	method of step	en_US
DC.subject	delayed cellular neural networks	en_US
DC.title	遲滯型細胞神經網路似駝峰行進波之研究	zh_TW
dc.language.iso	zh-TW	zh-TW
DC.title	On Camel-Like Traveling Wave Solutionsin Cellular Neural Networks with Distributive Delay	en_US
DC.type	博碩士論文	zh_TW
DC.type	thesis	en_US
DC.publisher	National Central University	en_US