The ordered firing patterns of a neuronal network subject to magnetic flow effect

Based on modified FitzHugh–Nagumo neurons in neuronal network subject to magnetic flow effect, this study, by virtue of analyzing the collective dynamics of temporal coherence and spatial synchronization of interacted neurons, focuses on exploring the beneficial role of noise and synapse delay on the ordered firing patterns of neurons by numerical simulations. First, the result demonstrates that noise deriving from irregular electromagnetic radiation can induce a phenomenon of ordered firing patterns in this neuronal network. For positive feedback gain of induced current, there exists an optimal noise intensity that can make the ordered firing patterns appear, whereas for negative one the ordered firing patterns can occur at a relative large range of intermediate noise intensity. Then, synapse delay is introduced to discuss how the noise-induced ordered firing patterns are affected. The result reveals that the phenomenon of ordered firing patterns can reappear intermittently when synapse delay especially partial synapse delay is appropriately tuned to integer multiple of the inherent oscillation period of the considered neuronal network. Furthermore, we also show that the ordered firing patterns are robust to changes of the average degree of the neuronal network and the fraction of delayed connection, respectively.