  I study the Chate-Manneville cellular automata rules on randomly connected
lattices. The periodic and quasi-periodic macroscopic behaviours associated
with these rules on finite-dimensional lattices persist on an
infinite-dimensional lattice with finite connectivity and symmetric bonds. The
lower critical connectivity for these models is at C=4 and the mean-field
connectivity, if finite, is not smaller than C=100. Autocorrelations are found
to decay as a power-law with a connectivity independent exponent approx. equal
to -2.5. A new intermitten chaotic phase is also discussed.
