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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/48040| Title: | Barkley系統的旅行波和迴旋波解 Barkley system |
| Authors: | Yi-Hung kuo 郭一鴻 |
| Advisor: | 林紹雄 |
| Keyword: | 微擾法,旅行波,脈衝波,迴旋波,反應擴散,擬譜方法, geometric singular perturbation,travelling wave,spiral wave,travelling pulse,reaction-diffusion equation,pseudospectral method, |
| Publication Year : | 2011 |
| Degree: | 碩士 |
| Abstract: | 本篇論文中，以geometric singular perturbation法證明，Barkley系統有一維的脈衝解，再以數值法檢驗此脈衝解在有外力微擾下的行為。同時也會以數值法觀察二維的迴旋波解。 In this thesis, the existence of travelling pulse solution of Barkley system in one spatial dimension is proved via the method of geometric singular perturbation. The stability of such travelling pulses are tested numerically. Spiral waves in two spatial dimension are also studied numerically. |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/48040 |
| Fulltext Rights: | 有償授權 |
| Appears in Collections: | 數學系 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| ntu-100-1.pdf Restricted Access | 2.16 MB | Adobe PDF |
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