Gray-Scott模型的动态分歧分析

Dynamic Bifurcation Analysis of the Gary-Scott Model

该文以Gray-Scott模型为研究对象,用数学的方法研究该系统的动态分歧.主要是运用线性全连续场普理论,中心流形约化方法及跃迁理论,得到了模型在一定条件下的跃迁类型的判别数,并判断了跃迁类型,给出了分歧解的表达式.

This paper studies the Gary-Stott model by using mathematical methods,including the Spectrum Theory of the linear completely continuous fields,Center Manifold Reduction and Transition Theory.With certain conditions,the distinguished number of transition type of the model is obtained,the type of transition is judged,the expression of the bifurcated solution is given.