本篇論文主要是在探討一個匿名Brusselator反應-擴散模型週期解路徑。
首先我們先固定一個初始值然後再利用打靶法及牛頓迭代法找出週期。並使用局部延拓法﹑牛頓迭代法﹑隱函數定理﹑割線預測法及虛擬弧長延拓法等數值方法去延拓出週期解解路徑。

In this paper we will discuss periodic solution paths of an autonomous Brusselator reaction-diffusion model. First, we choose fixed variable then use shooting method and Newton’s interative method to compute period of the model. Also we use local continuation method, Newton’s interative method, implicit function theorem , secant-predictor method, and pseudo-arclength continuation method, to continue periodic solution paths.

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