摘 要

本篇論文旨在對一個振動器模型的多重週期解做數值探討。我們以分歧理論的基礎—隱函數定理為基本工具，利用打靶法、割線預測法、牛頓迭代法和擬弧長延拓法等數值方法，探討在不同的參數變化下，對對應的多重解路徑做比較與解析。

Abstract

In this paper, we numerically investigate the periodic solutions in an Oscillator model. We use the implicit function theorem, shooting method, secant predictor method, Newton iterative method & pseudo-arclength continuation method to find the multiple solutions path of the model occur under different parameters.

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