吉林大学学报（理学版）2025，Vol.63Issue(3)：655-664,10.DOI:10.13413/j.cnki.jdxblxb.2024320
一类Gierer-Meinhardt模型的分支分析
Bifurcation Analysis of a Class of Gierer-Meinhardt Models
摘要
Abstract
We considered a class of Gierer-Meinhardt models without diffusion term.Firstly,we studied the existence,the stability of equilibrium points and the various bifurcation phenomena of the model.Secondly,by choosing proper bifurcation parameters,we proved that the system had saddle-node bifurcation,Hopf bifurcation and Bogdanov-Takens bifurcation of codimensions 2.Finally,the theoretical results were demonstrated by numerical simulations.The results show that the rate μinfluences the instability of system.关键词
Gierer-Meinhardt模型/鞍结点分支/Hopf分支/Bogdanov-Takens分支Key words
Gierer-Meinhardt model/saddle-node bifurcation/Hopf bifurcation/Bogdanov-Takens bifurcation分类
数学引用本文复制引用
贺孝英,吴奎霖..一类Gierer-Meinhardt模型的分支分析[J].吉林大学学报（理学版）,2025,63(3):655-664,10.基金项目
国家自然科学基金(批准号:12361034)和贵州省科学技术基金(批准号:黔科合J字[2015]2036号). （批准号:12361034）
