well it was my first thought, and I haven't had my coffee yet.

rsfmri data comprise multiple timeseries sampled from voxels throughtout the brain. The dynamics are complex, and there have been attempts to examine it through the lens of attractors etc. I'm not an expert in chaotic analysis, but will say that most of the advances in the field of neuroscience come from innovative analytic methods. Like I said, it was my first thought, but there is a whole subfield examining brain dynamics through these lenses.