DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 20(1) 173-187 2015年1月 [査読有り]
Ultradiscretization is a limiting procedure transforming a given difference equation into a cellular automaton. In addition the cellular automaton constructed by this procedure preserves the essential properties of the original equation, such as t...
In this paper, we propose a discretization and an ultradiscretization of Gray-Scott model which is not an integrable system and which gives various spatial patterns with appropriate initial data and parameters.<br />
The resulting systems give a t...
Ultradiscretization is a limiting procedure transforming a given difference equation into a cellular automaton. In this talk, we propose a discretization and an ultradiscretization of Gray-Scott model which is a reaction-diffusion system and whose...
Mathematics for Materials Science and Processing 2016年2月 Institute of Mathematics for Industry
Ultradiscretization is a limiting procedure transforming a given difference equation into a cellular automaton. In addition the cellular automaton constructed by this procedure preserves the essential properties of the original equation, such as t...