完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | 李英麒 | en_US |
dc.contributor.author | Lee,Ying Chi | en_US |
dc.contributor.author | 李榮耀 | en_US |
dc.contributor.author | Lee,Jong Eao | en_US |
dc.date.accessioned | 2014-12-12T02:14:09Z | - |
dc.date.available | 2014-12-12T02:14:09Z | - |
dc.date.issued | 1994 | en_US |
dc.identifier.uri | http://140.113.39.130/cdrfb3/record/nctu/#NT830507011 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/59640 | - |
dc.description.abstract | 我們依據參考文獻[10]中的連續法及局部分岐理論,發展出自己的數值方 法,來檢試Sine-Gordon 與非線性Schrodinger之有限項切割常微分方程之 分歧性質,進以完成它們的分歧圖形.我們發現我們所得的結果與參考文獻 [9],[10]中的結果一致.除了標準的數值分析方法之外. 我們採用 Mathematica 應用軟體來分析. In this thesis, according to the theory of continuation and local bifurcation [10], we develop our own numerical code to investigate the bifurcations of finite-mode truncation nonlinear Schrodinger and Sine-Gordon ODEs. Combining the theoretic arguments and the numerical computations, we complete the bifurcation diagrams. Our results are consistent with the results done by [9], [10]. Besides the standard numerical analysis, our main computational software is Mathematica. We test the codes in the Sun-Sparc Workstation. | zh_TW |
dc.language.iso | en_US | en_US |
dc.subject | 分歧點;轉彎點;連續法 | zh_TW |
dc.subject | Bifurcation;Sine-Gordon;Schrodinger | en_US |
dc.title | Sine-Gordon與非線性Schrodinger有限項切割常微方程之計算性分歧理論 | zh_TW |
dc.title | Computational Bifurcations of Sine-Gordon and Nonlinear Shrodinger Finite-Mode Truncations | en_US |
dc.type | Thesis | en_US |
dc.contributor.department | 應用數學系所 | zh_TW |
顯示於類別: | 畢業論文 |