Synchronizations of Four van der Pol Oscillators with Linear Memristor Coupling as Ring Structure

In this study, we proposed four van der Pol oscillators coupled in a ring structure using linear memristors. It was found that this network exhibits various stable states depending on the initial values of the oscillators and memristor parameters, and that the synchronous state and spatiotemporal patterns change because of the linear memristors. These results suggest the potential for using memristors in the physical implementation of brain-inspired networks that mimic the mechanisms of the human brain, such as in physical reservoir computing and brain-inspired computing.