The Bogdanov-Takens bifurcation study of 2 m coupled neurons system with $2m+1$ delays.

In this paper the Bogdanov-Takens (BT) bifurcation of an 2 m coupled neurons network model with multiple delays is studied, where one neuron is excitatory and the next is inhibitory. When the origin of the model has a double zero eigenvalue, by using center manifold reduction of delay differential equations (DDEs), the second-order and third-order universal unfoldings of the normal forms are deduced, respectively. Some bifurcation diagrams and numerical simulations are presented to verify our main results. [ABSTRACT FROM AUTHOR]