Reaction-diffusion media with excitable oregonators coupled by memristors

Abstract

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.