Numerical investigation for the Hopf bifurcation problems of steady-state solution paths of two interconnected will-mixed cells model

• Main Author: 蔡春梅
• Other Authors: 簡國清
• Format: Others
• Language: zh-TW
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/49986463184065366484

碩士 === 國立新竹教育大學 === 應用數學系碩士班 === 95 === In this thesis﹐we use the Hopf bifurcation theorem with Newton’s interactive method to find the bifurcation points (include real bifurcation points and Hopf bifurcation points) of the non-linear interconnected differential equation’s set. And then use the implicit function theorem, Liapunov-Schmidt reduction method, secant-predictor method and pseudo-arclength continuation method, to obtain the steady-state solution paths passing through real bifurcation points and Hopf bifurcation points. We also use the shooting method, implicit function theorem, Liapunov-Schmidt reduction method, secant-predictor method and pseudo-arclength continuation method, with Runge-Kutta method to find the periodic solution paths bifurcating from the Hopf bifurcation.