臺灣大學: 數學研究所林紹雄郭一鴻kuo, Yi-HungYi-Hungkuo2013-03-212018-06-282013-03-212018-06-282011http://ntur.lib.ntu.edu.tw//handle/246246/249819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.2216365 bytesapplication/pdfen-US微擾法旅行波脈衝波迴旋波反應擴散擬譜方法geometric singular perturbationtravelling wavespiral wavetravelling pulsereaction-diffusion equationpseudospectral methodthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/249819/1/ntu-100-R98221007-1.pdf