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.

Pair Diagram and Cyclic Properties Characterizing the Inverse of Reversible Automata

Complex Dynamics Emerging in Rule 30 with Majority Memory

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

Unconventional invertible behaviors in reversible one-dimensional cellular automata.

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

Modeling a Nonlinear Liquid Level System by Cellular Neural Networks

Elementary cellular automaton Rule 110 explained as a block substitution system