Multiple modes of electrical activities in a new neuron model under electromagnetic radiation

• Magnet flux is introduced into the three-variable neuron model, and this variable magnet flux has distinct physical meanings.
• The effect of electromagnetic induction and radiation on membrane potentials could be calculated in reliable way.
• The parameter region is expanded.
• Emergence and transition of multiple modes in electric activities could be observed.

The three-variable Hindmarsh–Rose model is improved to describe the dynamical behaviors of neuronal activities with electromagnetic induction being considered, and the mode transition of electrical activities in neuron are detected when external electromagnetic radiation is imposed on the neuron. The improved neuron model holds more bifurcation parameters and the mode of electric activities can be selected in larger parameter region. It is found that the electromagnetic radiation can excite quiescent neuron but also can suppress the electrical activities in neuron as well. Particularly, it is important to find that multiple modes of electrical activities can emerge alternatively, and these results are consistent with biological experiments.