Dynamic Behavior Analysis of a Class of Neurons Network Model

Abstract

A mathematical model of neurons network cells was studied. Firstly the study conducted numerical calculation by the C language program, and then simulated drawings with the grapher to analyze the model's complex dynamic conduct under different control parameters in the change interval of bifurcation parameter. Periodadding bifurcation and period doubling bifurcation must exist in the graph of ISI for different control parameters. As the external electric fields join in, the dynamic conduct of neuron model will change under corresponding parameters. The research results indicate external electric fields can change the discharge range of the model, which is helpful to explore the influence of external electric field on the excitability of biological neural system and pathogenic mechanism of neural system disease.