Reaction-Diffusion Media with Excitable Oregonators Coupled by Memristors
This chapter presents dynamic behaviors of a new reaction-diffusion-type excitable medium, where the diffusion coefficient is represented by memristive dynamics. The 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 \(\phi \) and charge q. By using the medium, this chapter exhibits that (i) the memristor conductances are modulated by the excitable waves and controlled the velocity of the waves, depending on the memristor’s polarity, and (ii) nonuniform spatial patterns are generated depending on the initial condition of Oregonator’s state, memristor polarity and stimulation.
This study was supported by a Grant-in-Aid for Scientific Research on Innovative Areas  from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan.
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