Characterization of uniform and hybrid cellular automata with null boundary

In this article, we dispute about the characterization of Cellular automata with restricted vertical neighborhood and Von neumann neighborhood of null boundary conditions over the field Z₂ in uniform cellular automata and hybrid cellular automata. Transition rule matrix for uniform and hybrid cellular automara with null boundary condition is obtained and the reversibility of the uniform cellular automata studied.Publisher's Versio

A Survey of Cellular Automata: Types, Dynamics, Non-uniformity and Applications

Cellular automata (CAs) are dynamical systems which exhibit complex global behavior from simple local interaction and computation. Since the inception of cellular automaton (CA) by von Neumann in 1950s, it has attracted the attention of several researchers over various backgrounds and fields for modelling different physical, natural as well as real-life phenomena. Classically, CAs are uniform. However, non-uniformity has also been introduced in update pattern, lattice structure, neighborhood dependency and local rule. In this survey, we tour to the various types of CAs introduced till date, the different characterization tools, the global behaviors of CAs, like universality, reversibility, dynamics etc. Special attention is given to non-uniformity in CAs and especially to non-uniform elementary CAs, which have been very useful in solving several real-life problems.Comment: 43 pages; Under review in Natural Computin