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Reaction-Diffusion Media with Excitable Oregonators Coupled by Memristors

  • Tetsuya AsaiEmail author
Chapter

Abstract

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.

Notes

Acknowledgements

This study was supported by a Grant-in-Aid for Scientific Research on Innovative Areas [20111004] from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan.

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Hokkaido UniversitySapporoJapan

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