Reaction-diffusion media with excitable oregonators coupled by memristors

We numerically investigated the dynamics of a new reaction-diffusion-type excitable medium where the diffusion coefficient is represented by memristive dynamics. This type of a medium consists of an array of excitable Oregonators, and each Oregonator is locally coupled with other Oregonators via memristors, which were claimed to be the fourth circuit element exhibiting a relationship between flux φ and charge q. Through extensive numerical simulations, we found that the memristor conductances were modulated by the excitable waves and controlled the velocity of the waves, depending on the memristor´s polarity. Further, different nonuniform spatial patterns were generated depending on the initial condition of Oregonator´s state, memristor polarity and stimulation.