  We analyze the size limits of coupled map lattices with diffusive coupling at
the crossover of low-dimensional to high-dimensional chaos. We investigate the
existence of standing-wave-type periodic patterns, within the low-dimensional
limit, in addition to the stable synchronous chaotic states depending upon the
initial conditions. Further, we bring out a controlling mechanism to explain
the emergence of standing-wave patterns in the coupled map lattices. Finally,
we give an analytic expression in terms of the unstable periodic orbits of the
isolated map to represent the standing-wave patterns.
