Producción Científica Profesorado

Transitive behavior in reversible one-dimensional cellular automata with a Welch index 1



Seck Tuoh Mora, Juan Carlos

2002

Seck Tuoh Mora, Juan carlos


Abstract


The problem of knowing and characterizing the transitive behavior of a given cellular automaton is a very interesting topic. This paper provides a matrix representation of the global dynamics in reversible one-dimensional cellular automata with a Welch index 1, i.e. those where the ancestors differ just at one end. We prove that the transitive closure of this matrix shows diverse types of transitive behaviors in these systems. Part of the theorems in this paper are reductions of well-known results in symbolic dynamics. This matrix and its transitive closure were computationally implemented, and some examples are presented.



Producto de Investigación UAEH




Artículos relacionados

Elementary cellular automaton Rule 110 explained as a block substitution system

Pair Diagram and Cyclic Properties Characterizing the Inverse of Reversible Automata

Unconventional invertible behaviors in reversible one-dimensional cellular automata.

Complex Dynamics Emerging in Rule 30 with Majority Memory

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

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

On explicit inversion of a subclass of operators with D-difference kernels and Weyl theory of the co...

Modeling a Nonlinear Liquid Level System by Cellular Neural Networks