臺灣博碩士論文加值系統

本文主要是利用Hopf分歧理論和center manifold，配合matlab程式之應用，來加以分析BZ反應的各種現象，並討論其分歧行為。
首先介紹BZ反應的化學變化和Tyson的研究、slow manifold的特性。研究方法主要是利用特徵根判斷來分析Hopf分歧現象、center manifold判斷穩定態與旋轉方式，並探討不同變量下的反應情況。

This study mainly analyzes each kind of phenomenon of the BZ reaction by using the Hopf Bifurcation Theorem and Center Manifold, along with the application of the Matlab formula, and further discusses its bifurcation behavior.
The chemical change of the BZ reaction, the Tyson’s research, and the characteristics of the Slow Manifold are introduced in this study. Two major research methods are used: 1. the characteristic root of the Jacobian matrix, 2. Center Manifold to evaluate stable or unstable states and to discuss the relation situations that are under different variables.

摘要 ____________________________________________________Ⅰ
目錄 ____________________________________________________Ⅲ
圖目錄 __________________________________________________Ⅳ
表目錄 __________________________________________________Ⅴ
第一章 緒論 ____________________________________________ 1
第二章 The Slow Manifold _______________________________ 6
第三章 Numerical Results _______________________________ 9
3.1 利用特徵根做初步判定 __________________________ 9
3.2 Hopf Bifurcation Theorem _____________________ 10
3.3 利用Center manifold和Poincare normal form分析_ 11
3.4 The Center manifold __________________________ 16
3.5 Poincare normal form__________________________ 17
3.6 利用slow manifold ____________________________ 20
第四章 結論 ___________________________________________ 24
參考文獻 _______________________________________________ 27

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