Dynamics in a memristor-coupled heterogeneous neuron network under electromagnetic radiation

Abstract

AbstractThe electromagnetic environment around neurons is very complex, and studying the effect of electromagnetic radiation on the firing behavior of neurons is of great significance. In this paper, we establish a memristor coupled heterogeneous neuron network composed of a HR neuron and a FHN neuron, where the effect of electromagnetic radiation is modeled by the induced current of the flux-controlled memristor. The firing behaviors of the network are studied through phase diagrams, time series, bifurcation diagrams, Lyapunov exponent spectrums, and local attraction basins. It is found that under different initial conditions, the network exhibits different bifurcation routes by varying the coupling strength, resulting in the coexistence of multiple firing patterns. More interestingly, the network, under different initials, appears completely opposite bifurcation routes when the electromagnetic radiation intensity varies. In addition, synchronous firing behavior between two heterogeneous neurons is also explored. It is observed that both neurons can achieve phase synchronization when the coupling strength decreases to a negative value. Finally, the numerical analysis is verified by the Multisim circuit.