3 papers
math.DS2020
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…
math.DS2019
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…
math.DS2018
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…