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Nanosystems: Physics, Chemistry, Mathematics, 2017, Volume 8, Issue 1, Pages 38–41
DOI: https://doi.org/10.17586/2220-8054-2017-8-1-38-41 (Mi nano6) 		 
MATHEMATICS

Ultradiscretization of reaction-diffusion type partial differential equations exhibiting pulse propagation

Y. Yamazaki, S. Ohmori

Department of Physics, Department of Physics, School of Advanced Science and Engineering, Waseda University, Shinjuku, Tokyo 1698555, Japan
Full-text PDF (365 kB)
DOI: https://doi.org/10.17586/2220-8054-2017-8-1-38-41
Abstract: Cellular automaton rules are derived from a set of reaction-diffusion partial differential equations by means of ultradiscretization method. The rules reproduce dynamical properties of pulse: annihilation, soliton-like preservation and periodic generation with a pacemaker.
Keywords: ultradiscretization, tropical discretization, pulse dynamics, cellular automaton, reaction-diffusion systems.
Received: 20.07.2016
Revised: 30.07.2016
Bibliographic databases:
Document Type: Article
PACS: 05.90.+m, 02.90.+p
Language: English
Citation: Y. Yamazaki, S. Ohmori, “Ultradiscretization of reaction-diffusion type partial differential equations exhibiting pulse propagation”, Nanosystems: Physics, Chemistry, Mathematics, 8:1 (2017), 38–41
Citation in format AMSBIB
\Bibitem{YamOhm17}
\by Y.~Yamazaki, S.~Ohmori
\paper Ultradiscretization of reaction-diffusion type partial differential equations exhibiting pulse propagation
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2017
\vol 8
\issue 1
\pages 38--41
\mathnet{http://mi.mathnet.ru/nano6}
\crossref{https://doi.org/10.17586/2220-8054-2017-8-1-38-41}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000397241100006}
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