2014/03/24 by Yuri Shalygo, Shalygo, Yuri
Computer Science · Engineering · #Cellular Automata and Applications #FOS: Computer and information sciences #FOS: Electrical engineering #Formal Languages and Automata Theory (cs.FL) #Nonlinear Dynamics and Pattern Formation #Slime Mold and Myxomycetes Research #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1404.1283
openalex publication_date 2014/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In his seminal paper on morphogenesis (1952), Alan Turing demonstrated that different spatio-temporal patterns can arise due to instability of the homogeneous state in reaction-diffusion systems, but at least two species are necessary to produce even the simplest stationary patterns. This paper is aimed to propose a novel model of the analog (continuous state) kinetic automaton and to show that stationary and dynamic patterns can arise in one-component networks of kinetic automata. Possible applicability of kinetic networks to modeling of real-world phenomena is also discussed.