NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2017, 8 (1), P. 38–41
Ultradiscretization of reaction-diffusion type partial differential equations exhibiting pulse propagation
Y. Yamazaki – Department of Physics, Department of Physics, School of Advanced Science and Engineering, Waseda University, Shinjuku, Tokyo 1698555, Japan; yoshy@waseda.jp
S. Ohmori – Department of Physics, Department of Physics, School of Advanced Science and Engineering, Waseda University, Shinjuku, Tokyo 1698555, Japan
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.
PACS 05.90.+m, 02.90.+p
DOI 10.17586/2220-8054-2017-8-1-38-41
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