Use of multiple attractor cellular automata for dimension reduction

Abstract

In this study, we investigated Cellular Automata form is discrete computational model working on more than one cell as pattern attractor. Cellular Automata is a computational model works on grid space discretely. State of a cell at time t+1 is updated depends its own state and neighboring states. Properties of rules in rule vector, characterization of attractor's state in Multiple Attractor Cellular Automata works on more than one cell and has two states, three neighbors named elementary cellular automata are studied, and dimension reduction potential of the model is explained.