R. Stoop et al., Neocortical networks of pyramidal neurons: from local locking and chaos tomacroscopic chaos and synchronization, NONLINEARIT, 13(5), 2000, pp. 1515-1529
We determine the properties of locking of inhibitory and of excitatory syna
ptic connections with neocortical pyramidal cells. We are able to give an o
verview of the emerging periodic behaviour, as a function of the perturbati
on strength. We show that a chaotic response emerges for inhibitory connect
ions on an open set of positive measure of the parameter space. This implie
s that synchronization on the set of inhibitory connections is possible, wi
th positive probability.