7 citations · 7 across the 1 of their papers we have counts for
4 papers
Phase transitions of extended-range probabilistic cellular automata with two absorbing states
F. Bagnoli, F. Franci, R. Rechtman
We study phase transitions in a long-range one-dimensional cellular automaton with two symmetric absorbing states. It includes and extends several other models, like the Ising and…
Nature of phase transitions in a probabilistic cellular automaton with two absorbing states
Franco Bagnoli, Nino Boccara, Raul Rechtman
We present a probabilistic cellular automaton with two absorbing states, which can be considered a natural extension of the Domany-Kinzel model. Despite its simplicity, it shows a…
Damage spreading and Lyapunov exponents in cellular automata
F. Bagnoli, R. Rechtman, S. Ruffo
Using the concept of the Boolean derivative we study damage spreading for one dimensional elementary cellular automata and define their maximal Lyapunov exponent. A random matrix a…
Synchronization and Maximum Lyapunov Exponents of Cellular Automata
Franco Bagnoli, Raul Rechtman
We study the synchronization of totalistic one dimensional cellular automata (CA). The CA with a non zero synchronization threshold exhibit complex non periodic space time patterns…