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Наносистемы: физика, химия, математика

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

https://doi.org/10.17586/2220-8054-2017-8-1-38-41

Аннотация

Cellular automaton rules are derived from a set of reaction-diffusion partial differential equations by means of ultradiscretization method. The rulesres produce dynamical properties of pulse: annihilation, soliton-like preservation and periodic generation with a pacemaker.

Об авторах

Y. Yamazaki
DepartmentofPhysics,DepartmentofPhysics,SchoolofAdvancedScienceandEngineering
Япония


S. Ohmori
DepartmentofPhysics,DepartmentofPhysics,SchoolofAdvancedScienceandEngineering
Япония


Рецензия

Для цитирования:


 ,   . Наносистемы: физика, химия, математика. 2017;8(1):38–41. https://doi.org/10.17586/2220-8054-2017-8-1-38-41

For citation:


Yamazaki Y., Ohmori S. Ultradiscretization of reaction-diffusion type partial differential equations exhibiting pulse propagation. Nanosystems: Physics, Chemistry, Mathematics. 2017;8(1):38–41. https://doi.org/10.17586/2220-8054-2017-8-1-38-41

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ISSN 2220-8054 (Print)
ISSN 2305-7971 (Online)