Constrained drift and splitting transition of electromagnetically regulated spiral waves

The magnetic flux variable based on the working principle of magnetic-controlled memristors is introduced to address the electromagnetic induction problem caused by electromagnetic activities inside and outside the nervous system, providing the possibility of exploring electromagnetic regulation of network spatiotemporal behavior from the perspective of neurodynamics. This paper systematically detects the feasibility and effectiveness of electromagnetic stimulation in regulating spiral wave evolution based on a constructed two-dimensional regular neuronal network. After the negative feedback effect of electromagnetic stimulation on neuronal activity is confirmed, the regulation of periodic electromagnetic stimulation on spiral wave dynamics is quantitatively discussed with the help of three network metrics, namely spiking ratio, average membrane potential and average Hamilton energy. The results show that for two different regulatory schemes, the periodic stimulation can induce the drift or disappearance of spiral waves, which can be elucidated through the bifurcations of neuronal dynamics. Particularly, local stimulation makes the stimulated region act as a barrier by inhibiting the neuronal activity, thereby inducing the wave head to drift along a specific path or the spiral pattern to transition into a fascinating double spiral wave. These novel results of constrained drift and transition of splitting into two are first detected, enriching the dynamics of spiral waves and providing clinical guidance.