Homogeneity-Breaking Instability of Periodic Solutions of Gierer-Meindardt Model  

作　　者：Aying Wan Zhiqiang Song Hongyan Lin Nan Xiang 

机构地区：[1]Department of Science and Technology,Hulunbuir University,Hulun Buir 021008,Inner Mongolia,China [2]School of Engineering,Hulunbuir University,Hulun Buir 021008,Inner Mongolia,China [3]School of Mathematics and Physics,Hulunbuir University,Hulun Buir 021008,Inner Mongolia,China

出　　处：《Journal of Harbin Institute of Technology(New Series)》2024年第2期62-67,共6页哈尔滨工业大学学报（英文版）

基　　金：Sponsored by the National Natural Science Foundation of China(Grant Nos.12061033,2020GG0130,2020MS04007,2020BS11,and NJZZ22286).

摘　　要：The homogeneity-breaking instability of the periodic solutions triggered by Hopf bifurcations of a diffusive Gierer-Meinhart system is studied in this paper.Sufficient conditions on the diffusion coefficients and the cross diffusion coefficients were derived to guarantee the occurrence of the aforementioned homogeneity-breaking instability.

关 键 词：Gierer-Meindardt model CROSS-DIFFUSION homogeneity-breaking instability Hopf bifurcations 

分 类 号：O29[理学—应用数学]