Memristive magnetic coupling feedback induces wave-pattern transition

In this paper, we design a memristive system involving magnetic coupling with time-delayed feedback. In a way of autaptic connection, the memristive magnetic coupling feedback is mapped into a neuronal model with ion-channel effect. Compared with the resistive coupling feedback in line with proposed autaptic connection, the memristive magnetic coupling feedback can enhance firing rates more effectively. Furthermore, we analyze collective behaviors of a neural lattice composed of the individual neuronal model connected electrically by bidirectional gap junction. Under the different intensities of gap junction, we find the memristive magnetic coupling feedback can induce a target wave or make a transition from a regular spiral wave to an irregular pattern mixed by both target wave and spiral wave and then to an inverted U-type steady traveling wave. Indeed, the memristive magnetic coupling feedback is able to trigger the transition between different wave patterns. Thereby, we expect that designing the neural lattice with memristive magnetic coupling feedback will be helpful for more advanced applications like neuromorphic circuits.