The existence of non-trivial collective behavior in lattices of diffus
ively coupled differential equations is investigated. For a two-dimens
ional square lattice of Rossler systems, a rotating long-range order i
s observed. This case is best described in terms of a complex Ginzburg
-Landau (CGL) equation submitted to the local noise produced by the ch
aotic Rossler units. The parameters of this CGL equation are estimated
to be in the so-called ''Benjamin-Feir stable'' region. The collectiv
e oscillation regime thus corresponds to the linearly-stable, spatiall
y-homogeneous solution of the equivalent CGL equation. The possibility
of more complex collective behavior in similar systems is discussed.