P. Marcq et H. Chate, EARLY-TIME CRITICAL-DYNAMICS OF LATTICES OF COUPLED CHAOTIC MAPS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(2), 1998, pp. 1591-1603
The early-time critical dynamics of continuous, Ising-like phase trans
itions is studied numerically for two-dimensional lattices of coupled
chaotic maps. Emphasis is placed on obtaining accurate estimates of th
e dynamic critical exponents theta' and z. The critical points of five
different models are investigated, varying the mode of update, the co
upling, and the local map. Our results suggest that the nature of upda
te is a relevant parameter for dynamic universality classes of extende
d dynamical systems, generalizing results obtained previously for the
static properties. They also indicate that the universality observed f
or the static properties of Ising-like transitions of synchronously up
dated systems does not hold for their dynamic critical properties.