Title: 在延遲方程式中利用數值方法尋找同源軌跡
Looking For Homoclinic Orbit In a Retarded Differential Equation By Numerical Method
Authors: 許世芳
Shih Fang Hsu
陳福祥
F. S. Tsen
應用數學系所
Keywords: 同源軌跡, 光譜方法, 同倫連續法, 分歧, 使遲延;homoclinic orbit, spectral method, homotopy continuation method, bifurcation, retard
Issue Date: 1993
Abstract: 在本篇論文中, 我們所研讀的是, 在一個延遲微分方程式中尋找同源軌跡
的發生. 所用的工具是兩種數值方法, 其中之一, 光譜方法可以讓我們獲
得穩定的解. 而另一種, 同倫連續法可以追蹤不穩定的解. 而且, 我們也
可以看到一些分歧種類.
In this paper, we study the onset of homoclinic orbit in a
retarded differential equation and use two numerical methods:
the spectral method obtains the stable solutions and the
homotopy continuation method can trace the unstable T-periodic
solution. And we can observe some kinds of bifurcations.
URI: http://140.113.39.130/cdrfb3/record/nctu/#NT820507014
http://hdl.handle.net/11536/58444
Appears in Collections:Thesis