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 ...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.展开更多
基金Sponsored by the National Natural Science Foundation of China(Grant Nos.12061033,2020GG0130,2020MS04007,2020BS11,and NJZZ22286).
文摘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.
基金This research was supported by Startup Project of Doctor Scientific Research of Northwest A＆F University （No. Z109021414）, National Higher-Education Insti- tution General Research and Development Project （No. 2014YB023）, National Natural Science Foundation of China （No. 11461024）, the Foundation of Henan Educational Committee （No. 13B110031） and the Fundamental Research Funds for the Universities of Henan Province （No. NSFRF140139）.
