Period-doubling route to chaos for a global variable of a probabilistic automata network
N. Boccara, M. Röger · Journal of Physics A Mathematical and General · 1992
As a function of a parameter characterizing the degree of mixing of site values, the density of nonzero sites of some one-dimensional cellular automata is shown to exhibit a sequence of period-doubling bifurcations and to behave chaotically when the degree of mixing is sufficiently large. The automata network rules which are considered appear to be useful to model complex systems, as in epidemiology, in which the motion of the individuals is believed to play an important role.