Yunxiang Lu, Min Xiao, Chengdai Huang, Zunshui Cheng et al.
The spatiotemporal pattern formation and transition driven by cross-diffusion of the Gray-Scott model are investigated for the early warning of tipping in this paper. The mathematical analyses of the corresponding non-spatial model and spatial model are performed first, which enable us to have a com...
Chengdai Huang, Jinde Cao, Min Xiao, Ahmed Alsaedi et al.
Abstract The present paper concerns with the dynamics of a fractional neural network involving three neurons. Firstly, the bifurcation point is identified for which Hopf bifurcations may occur by taking the system parameter as a bifurcation parameter via the stability analysis of fractional systems....