Numerical Investigation for Periodic Solution Paths of Nonlinear Autonomous Differential Equations

• Main Author: 許瑩苨
• Other Authors: 簡國清
• Format: Others
• Language: zh-TW
• Online Access: http://ndltd.ncl.edu.tw/handle/22414558924527103417

碩士 === 國立新竹教育大學 === 人資處數學教育碩士班 === 97 === The main purpose of this thesis is to investigate bifurcation problems of a system of nonlinear autonomous differential equation. We also investigate the solution structure when the bifurcation parameter changed. We first compute period of the model using shooting method, and then compute periodic solutions of the model with known periods. Finally, we figure out periodic solution paths of the model base on implicit function theorem by using tangent-predictor method, secant-predictor method, and pseudo-arclength continuation method.