Numerical Study of Bifurcation in BZ Reaction

• Main Authors: Ming-Chuan Wu, 吳明娟
• Other Authors: none
• Format: Others
• Language: zh-TW
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/73903329285931888315

碩士 === 逢甲大學 === 應用數學所 === 94 === 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.