najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2017-8-1-38-41najo-729Research ArticleMATHEMATICSМАТЕМАТИКАUltradiscretization of reaction-diffusion type partial differential equations exhibiting pulse propagationYamazakiY.

 WasedaUniversity,Shinjuku,Tokyo169-8555

yoshy@waseda.jpOhmoriS.

 WasedaUniversity,Shinjuku,Tokyo169-8555

DepartmentofPhysics,DepartmentofPhysics,SchoolofAdvancedScienceandEngineeringJapan2017130820258138–41Copyright © Yamazaki Y., Ohmori S., 20252025Yamazaki Y., Ohmori S.Yamazaki Y., Ohmori S.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/729

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.

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The authors declare that there are no conflicts of interest present.