Numerical Investigation for Real Bifurcation and Hopf Bifurcation Problems of Steady-State Solution Paths of A Non-adiabatic Tubular Reactor Model

• Main Authors: Juang Jing Sheng, 莊景勝
• Other Authors: Jen Kuo Ching
• Format: Others
• Language: zh-TW
• Online Access: http://ndltd.ncl.edu.tw/handle/50921211429671535994

碩士 === 國立新竹教育大學 === 應用數學系碩士班 === 96 === The thesis investigates real bifurcation points, Hopf bifurcation points and solution branches of steady-state solution paths of a non-adiabatic tubular reactor model. We use Hopf bifurcation theorem, shooting method, Rung-Kutta integral formula and Newton’s interative method to calculate real bifurcation points and Hopf bifurcation points. We use implicit function theorem, Liapunov-Schmidt reduction method, tangent-predictor method, secant-predictor method and pseudo-arclength continuation method to figure out all solution branches of steady-state solution paths bifurcating from real bifurcation points and Hopf bifurcation points. Finally, we change the parameters to find real bifurcation points, Hopf bifurcation points and bifurcation diagram of the model.