| Summary: | 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.
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