Multidimensional traveling waves in the Allen–Cahn cellular automaton

DOI10.1088/1751-8113/48/25/255202zbMath1320.35306OpenAlexW2285682434MaRDI QIDQ5263955

Mikio Murata

Publication date: 20 July 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/48/25/255202

zbMATH Keywords

reaction-diffusion systemtraveling wavecellular automaton

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Cellular automata (computational aspects) (68Q80) Soliton equations (35Q51) Dynamical aspects of cellular automata (37B15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Traveling wave solutions (35C07)

Related Items (5)

Cellular automaton obtained by the tropical discretization from the competitive diffusion equation ⋮ Elimination of spiral waves in a locally connected chaotic neural network by a dynamic phase space constraint ⋮ Ultradiscrete hard-spring equation and its phase plane analysis ⋮ Indeterminate solutions of the \(p\)-ultradiscrete equation and leading term analysis ⋮ Ultradiscrete bifurcations for one dimensional dynamical systems

This page was built for publication: Multidimensional traveling waves in the Allen–Cahn cellular automaton