Neocortical networks of pyramidal neurons: from local locking and chaos to macroscopic chaos and synchronization

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Abstract
We determine the properties of locking of inhibitory and of excitatory synaptic connections with neocortical pyramidal cells. We are able to give an overview of the emerging periodic behaviour, as a function of the perturbation strength. We show that a chaotic response emerges for inhibitory connections on an open set of positive measure of the parameter space. This implies that synchronization on the set of inhibitory connections is possible, with positive probability.