標題: N-階非線性常微方程式分歧現象分析
The Bifurcation Analysis of the N-th Order, Nonlinear Ordinary Differential Equations
作者: 余啟哲
Chi-Jer Yu
李榮耀
Jong-Eao Lee
應用數學系所
關鍵字: 單射法;多射法;分歧;連續法;週期軌道;single shooting;multiple shooting;bifurcation; continuation method;periodic orbit
公開日期: 1993
摘要: 我們發展一套理論及數值的工具以探索高維非線性常微方程的分歧動態現 象.在稍後內容中,並將以此測試 N-mode 薛丁格方程式,展現與參考文獻 [11]完全一致的結果. In this thesis, we develped both the theoretic and numerical tools to investigate the bifurcation dynamics of the general nonlinear,high-dimensional ODEs. Our numerical code is then developed and applied to the N-mode truncated, perturbed nonlinear Schrodinger equation (which is specified later) to do the pratical computations. The results are completely consistent with the previous work done by Chuyu Xiong [11], which is also the main reference in our study.
URI: http://140.113.39.130/cdrfb3/record/nctu/#NT820507009
http://hdl.handle.net/11536/58439
Appears in Collections:Thesis