Chaos of a Kind of Cellular Automaton with Random Neighborhoods
一种具有随机邻居元胞自动机的混沌特性

The dynamical characters of a kind of two value cellular automaton with random neighborhoods are studied. The dynamical model of the automaton in the ideal condition is given out, and the chaotic properties of the model are analyzed. The bifurcation plot, the Lyapunov exponents, and the Schwarzian derivative of the model are calculated to explain that the route to chaos the model takes is period-doubling bifurcations. Finally, the different behaviors between the ideal model and non-ideal model are pointed out.