4 papers · 1 filter
Irrational eigenvalues of D-Dimensional Cellular automata
Nassima Ait Sadi, Rezki Chemlal
Cellular automata are dynamical systems defined on lattices and commuting with the Bernoulli shift. In this work, we focus on the spectral properties of D-dimensional cellular auto…
A note on combining chaotic dynamical systems using the fuzzy logic XOR operator
Rezki Chemlal
In this paper we explore whatever combining two chaotic dynamical systems using the fuzzy logic operator XOR can maintain or not the chaotic properties of the resulting dynamical s…
Some topological properties of one dimensional cellular automata
Rezki Chemlal
Cellular automata, CA for short are continuous maps defined on the set of configurations over a finite alphabet A that commutes with the shift. They are characterized by the existe…
Equicontinuous factors of one dimensional cellular automata
Rezki Chemlal
We are interested in topological and ergodic properties of one dimensional cellular automata. We show that an ergodic cellular automaton cannot have irrational eigenvalues. We show…