Firing patterns of Izhikevich neuron model under electric field and its synchronization patterns

Recently, the researches have focused on the models that can simulate all the internal and external activities of neurons. The exchange of ions such as calcium, sodium, and potassium across the cell membrane induces a time-varying magnetic field, resulting in the construction of an electric field. This paper proposes an improved neuron model by considering the electric field in the Izhikevich neuron model. The model dynamics are investigated through spiking patterns and bifurcation diagrams for different parameters, such as amplitude and frequency of electric field, the electric field intensity, and the polarization of neurons. Furthermore, the behavior of the coupled improved neurons with electric field is under consideration. Different synchronization patterns such as the chimera state and the imperfect synchronization are observed by varying the parameters. Computing the global order parameters shows that the existence of the electric field leads to complete synchronization in stronger coupling coefficients.