Dynamical behaviour and coupling synchronization of oscillatory activities in a cell system of neural network

Dynamical behaviour and coupling synchronization of oscillatory activities in a cell system of neural network

Kaijun Wu1, Tianqi Luo1, Huaiwei Lu2, Yazhou Shan1 

1School of Electronic and Information Engineering, LanZhou JiaoTong Unversity, Lanzhou 730070, China

2School of Mathematics and Physics, LanZhou JiaoTong Unversity, Lanzhou 730070, China

The paper mainly described a mathematical model of calcium ion oscillation of non-excitable cells. Based on the model, complex oscillations caused by variations of bifurcation parameters were analysed in detail and effects of variation of parameters to synchronization were discussed when the coupling intensity of two gaps-junction- coupled calcium ion cells was certain. Through numerical simulation, under less stiffness of coupling and among a certain scope of parameters, the phenomenon that the larger the parameters were, the easier the system occurred approximate synchronization were further illustrated.