Producción Científica Profesorado

2011

Leon, P.A., Basurto, R., Martínez, G.J., & Seck-Tuoh-Mora, J.C. (2011). Complex Dynamics in a Hexagonal Cellular Automaton. Proceedings of the International Conference on High Performance Computing and Simulation (HPCS 2011), pp. 750-756.

**Abstract**

Hexagonal cellular automata (CA) were studied with interestas a variation of the famous Game of Life CA, mainlyfor spiral phenomena simulations; where the most interestingconstructions are related to the Belousov-Zhabotinskyreaction. In this paper, we study a special kind of hexagonalCA known as the Spiral rule. Such automaton displaysa non-trivial complex behaviour related to discrete modelsof reaction-diffusion chemical media, dominated by spiralguns that easily emerge from random initial conditions.Computing abilities of Spiral rule automata are shown bymeans of logic gates, defined by collisions between mobileself-localizations. Also, a more extended classification ofcomplex self-localization patterns is presented, includingsome self-organized patterns.

Reproducing the Cyclic Tag System Developed by Matthew Cook with Rule 110 Using the Phases f(i-)1.

Elementary cellular automaton Rule 110 explained as a block substitution system

Complex Dynamics Emerging in Rule 30 with Majority Memory

Unconventional invertible behaviors in reversible one-dimensional cellular automata.

How to Make Dull Cellular Automata Complex by Adding Memory: Rule 126 Case Study

Modeling a Nonlinear Liquid Level System by Cellular Neural Networks

Pair Diagram and Cyclic Properties Characterizing the Inverse of Reversible Automata