網格型動態系統行波解之研究; A Study of Traveling Wave Solutions in a Lattice Dynamical System

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/43904

Title:	網格型動態系統行波解之研究;A Study of Traveling Wave Solutions in a Lattice Dynamical System
Authors:	黃琮煥;Tsung-Huan Huang
Contributors:	數學研究所
Keywords:	振盪行波解;最終週期性行波解;上解;下解;oscillating traveling wave solutions;upper solutions;eventually periodic traveling wave solutions
Date:	2010-06-29
Issue Date:	2010-12-08 14:26:08 (UTC+8)
Publisher:	國立中央大學
Abstract:	此篇論文中，我們首先採用monotone iteration 的方法來研究某類網格型微分方程單調行波解的存在與多樣性。接著研究細胞神經網路行波的結構。其包含有單調性行波解、振盪性行波解與最終週期性行波解。這些結果皆是參考與推廣參考文獻[1]和[2]的研究成果。 In this thesis, we first study the existence and multiplicity results of monotonic traveling wave solutions for some lattice differential equations by using the monotone iteration method. Then we study the structure of traveling wave solutions of Cellular Neural Networks (CNN). The traveling wave solutions of CNN consist of monotonic traveling waves, oscillating waves and eventually periodic traveling waves. These results are survey works which extend the results of [1] and [2].
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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