遲滯型細胞神經網絡行進波之結構; Structure of Traveling Waves in Delayed Cellular Neural Networks

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7827

Title:	遲滯型細胞神經網絡行進波之結構;Structure of Traveling Waves in Delayed Cellular Neural Networks
Authors:	林嫺雯;Shian-Wen Lin
Contributors:	數學研究所
Keywords:	細胞神經網絡;行進波;cellular neural networks;traveling waves
Date:	2003-06-18
Issue Date:	2009-09-22 11:06:29 (UTC+8)
Publisher:	國立中央大學圖書館
Abstract:	這篇論文主要研究，在一個維度上，遲滯型細胞神經網絡 (CNN)行進波解的結構。利用Monotone Iteration 及 Shooting的方法我們可以證明行進波之解結構隨著速度的改變而有不同的行為。 This thesis is concerned with the global structure of traveling waves for one-dimensional cellular neural networks with distributed delayed signal transmission. By using the monotone iteration method and shooting method, we describe the transition of wave profiles from monotonicity, damped oscillation, periodicity, unboundedness and back to monotonicity as the wave speed is varied.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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