First, some examples of driven IFS analysis of chaotic data.
Coupled map lattices are a laboratory for studying synchronized behavior.
Simple sync signatures in driven IFS and return maps.
Even these simple networks can produce surprising behavior. For example, with s1 = 3.44, s2 = 3.88, c11 = c22 = 0.1, and c12 = c21 = 0.9, we obtain these return maps in 2 nad 3 dimensions
 
A dictionary of coupled maps.
Strange sync from fractal coupling.