I will describe a range of methods aimed to detect dynamical connectivity in the brain. 
I will address the issue of exploiting redundancy in dynamical systems to perform informative 
clustering of the variables and obtain directed networks at fine scale, and I will describe 
the emergency of information bottlenecks in the brain. Finally I will introduce a methodology 
aimed to detect neuronal events in the resting state BOLD measurements, which will allow to 
retrieve the hemodynamic response function even in absence of explicit timing of the onset, 
and to detect transient microstates of correlated brain activity.