The multi-frequency EEG rhythms modeling based on two-parameter bifurcation of neural mass model

In this work, a coupled Jansen and Rit neural mass model with two neuron populations were proposed, which was studied further by using the two-parameter bifurcation analysis. The numerical analysis shows that the coupled Jansen and Rit neural mass model can generate a type of multi-frequency rhythms, which are closer proximity to real EEG rhythms. Furthermore, due to the combined effect of two parameters bifurcations, more codimension two bifurcations behaviours on equilibriums and cycles were discovered, which can generate more complex dynamics behaviours. Finally, the validity of the proposed modelling method was verified by the comparative analysis between the simulation EEG rhythms and real EEG rhythms, verified the validity of this system.