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研究生： 薛鈞聰
Chun-Tsung Hsueh
論文名稱： 無拉力曲率流之穩定旋轉螺旋波
The Steadily Rotating Spirals under the Curvature Flow with Zero Driving Force
指導教授： 郭忠勝
學位類別： 碩士
Master
系所名稱： 數學系
Department of Mathematics
論文出版年： 2005
畢業學年度： 93
語文別： 英文
論文頁數： 12
中文關鍵詞： 穩定旋轉螺旋波 、曲率流 、曲率 、相平面
英文關鍵詞： steadily rotating spiral wave, curvature flow, curvature, phase plane
論文種類： 學術論文
相關次數： 點閱：168  下載：19 
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    • 這篇論文是研究無拉力曲率流之穩定旋轉螺旋波的模型。在論文中，首先利用一個變換將原本的積分微分方程化成一個一階的方程組。再藉由相平面的分析得到解的行為，並進而將解分類。接著利用數值的方法畫出這些解所對應的螺旋波，最後也把這些圖形的程式碼附在論文中以供參考。

    In the paper, we study the steadily rotating spirals under the curvature flow with zero driving force. At first, we transfer the integro-differential equation to a first order system. Then, by the phase plane analysis, we obtain the behavior and classification of solutions. Finally, we can draw the corresponding curves of the solutions and we give the code of graphics by Mathematica for your reference.

    1 Introduction 2 Preliminary 3 Classification of solutions 4 Geometric explanations and graphics 5 Code of the graphics

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