Numerical Simulation Bidirectional Chaotic Synchronization FitzHugh-Nagumo Neuronal System

System of signals propagation from one neuron to other represent event of very complex electrochemical mechanism. In this work, we studied the dynamics of modified FitzHugh-Nagumo multi neuron model with sinusoidal external stimulation. In this paper, the coupled model is established on the basis of spiking neuron model, and then the relation of bidirectional coupling strength of the gap junction and the synchronization is discussed in detail. The sufficient condition of complete synchronization is obtained from rigorous mathematical derivation. It is found that the variation in coupling strength between the neurons leads to different types of bifurcations and the system exhibits the existence of fixed point, periodic and spiking chaotic attractor.