本論文主要是在探討一非線性匿名微分方程組,在改變參數的情況下,其週期解路徑的變化情形.
首先,我們利用打靶法及牛頓迭代法找出一固定週期後,再利用此固定週期找出週期解初始值;接著,再以隱函數定理為基礎,運用切線猜測法、割線猜測法及虛擬弧長延拓法等,求得此方程組的週期解路徑.

The main purpose of this thesis is to investigate bifurcation problems of a system of nonlinear autonomous differential equation. We also investigate the solution structure when the bifurcation parameter changed.
We first compute period of the model using shooting method, and then compute periodic solutions of the model with known periods. Finally, we figure out periodic solution paths of the model base on implicit function theorem by using tangent-predictor method, secant-predictor method, and pseudo-arclength continuation method.

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