Thanks for sharing! It's very intriguing work. Is each node intended to model the local field potential of a given brain region? How 'large' or what scale are the individual nodes? (e.g. a few hundred neurons, a handful of neurons, one neuron?)
I'm very new to this whole field, but usually to model the LFP of single neurons they use MUCH more detailed descriptions, down to individual membrane potentials.
This is probably not even a good model of LFP in general, it's more of a system that behaves like a brain that has seizures. They have a full discussion about it in the paper. The interesting thing about this is that by changing the connectivity you also change the attractors of the system, meaning that a "seizure" can happen or not depending on whether some nodes are connected.