Geodesic
Ultradiscretization of reaction-diffusion type partial differential equations exhibiting pulse propagation
Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 1, pp. 38-41

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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. 
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     author = {Y. Yamazaki and S. Ohmori},
     title = {Ultradiscretization of reaction-diffusion type partial differential equations exhibiting pulse propagation},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {38--41},
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2017_8_1_a5/}
}
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Y. Yamazaki; S. Ohmori. Ultradiscretization of reaction-diffusion type partial differential equations exhibiting pulse propagation. Nanosistemy: fizika, himiâ, matematika, Tome 8 (2017) no. 1, pp. 38-41. http://geodesic.mathdoc.fr/item/NANO_2017_8_1_a5/