  We study the dynamical behaviour of the collective field of chaotic systems
on small world lattices. Coupled neuronal systems as well as coupled logistic
maps are investigated. We observe that significant changes in dynamical
properties occur only at a reasonably high strength of nonlocal coupling.
Further, spectral features, such as signal-to-noise ratio (SNR), change
monotonically with respect to the fraction of random rewiring, i.e. there is no
optimal value of the rewiring fraction for which spectral properties are most
pronounced. We also observe that for small rewiring, results are similar to
those obtained by adding small noise.
