Development and transition of target waves in the network of Hindmarsh-Rose neurons under electromagnetic radiation

The pattern transition of target waves in Hindmarsh-Rose neuron network exposed to fixed and periodic electromagnetic radiation is reported in this paper. Our numerical results confirm that local periodical excitation can induce stable propagating target waves from the network. It is found that fixed electromagnetic radiation has great effect on the propagating target waves, and that these target waves can be obviously blocked by increasing the intensity of fixed electromagnetic radiation. We find that the periodic electromagnetic radiation with appropriate amplitude and frequency can break the target waves and induce spatiotemporal turbulence and spiral waves from the broken target waves. Our numerical simulations show that the influence of periodic electromagnetic radiation on the dynamics of target waves is complex, and that although both increasing the amplitude and decreasing the frequency can break the target waves and induce spiral waves and chaos from the network, extensive numerical results find that lower frequency is more easy to terminate the target waves and generate spiral waves and spatiotemporal chaos. The numerical simulations also show that fixed and periodic electromagnetic radiation have influence on the pattern transition of the target waves in the network, but periodic electromagnetic radiation is more helpful to develop spiral waves and turbulence from the network.