本論將針對一個雙核心Brusselator反應模型之倍增週期分歧問題進行探討.
首先,我們利用打靶法及牛頓迭代法計算出倍增週期分歧點.接著,我們以隱函數定理為基礎,運用Liapunov-Schmidt降階法、虛擬弧長延拓法、割線預測法及牛頓迭代法等數值方法,延拓出倍增週期分歧點的單週期及倍週期解分支路徑.

In this thesis, we will be aimed at investigating the periodic doubling bifurcation problems of a Brusselator reaction model with two cells.
First, we use shooting method and interative method to compute the periodic-doubling bifurcation points.Also,we use implicit function theorem as a basis and apply the numerical methods of the Liapunov-Schmidt reduction method, pseudo-arclength continuation method, secant-predictor method, and interative method, to continue periodic and periodic-doubling solution branches from periodic-doubling bifurcation points.

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