Excitable Reaction-Diffusion Media with Memristors

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  • Gong Xiyuan
    Graduate School of Information Science and Technology, Hokkaido University
  • Asai Tetsuya
    Graduate School of Information Science and Technology, Hokkaido University
  • Motomura Masato
    Graduate School of Information Science and Technology, Hokkaido University

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  • SELECTED PAPER : Excitable Reaction-Diffusion Media with Memristors

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We numerically investigated the dynamics of new reaction-diffusion-type excitable media 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 each other 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 i) memristor conductances were modulated by excitable waves passing on the memristor depending on the memristor's polarity, ii) the velocity of the excitable wave propagation is thus modulated by the change in the memristor conductance, and the degree of modulation is inversely proportional to the time constant of the memristor model, and iii) nonuniform spatial patterns are generated under the periodic boundary condition (ring structure of excitable media).

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