A one-dimensional cellular automaton is a dynamical system which consisting in a
juxtaposition of cells whose state changes over discrete time according to that of their …

In this paper, we exhibit a strong relation between the sand automata configuration space
and the cellular automata configuration space. This relation induces a compact topology for …

In this paper, we study different notions of stability for sand automata, dynamical systems
inspired by sandpile models and cellular automata. First, we study the topological stability …

A cellular automaton is a parallel synchronous computing model, which consists in a
juxtaposition of finite automata whose state evolves according to that of their neighbors. It …

Using purely topological concepts, we characterize the class of nondeterministic mappings
between shift spaces that give rise to nondeterministic sliding block codes. We use such …

A cellular automaton (CA) is a parallel synchronous computing model, which consists in a
juxtaposition of finite automata (cells) whose state evolves according to that of their …

Un automate cellulaire est un système dynamique discret qui modélise des objets ayant une
évolution parallèle synchrone: l'espace est divisé en cellules ayant chacune un état et qui …

The attractor properties in Cellular Automata dynamical systems have been extensively
investigated and well characterized. We consider here two attractor classification for Cellular …

Cellular Automata (CA) are discrete dynamical systems and an abstract model of parallel
computation. Nondeterministic Cellular Automata (NCA) are the class of multi-valued …

The research work, reported in the thesis, primarily deals with two opposite behaviors-
divergence and convergence of one dimensional cellular automaton (CA). The convergence …