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Triggering a single additional spike in a cerebral cortical neuron wasrecently demonstrated to cause a cascade of extra spikes in the network that islikely to rapidly decorrelate the network's microstate. The mechanisms involvedin this extreme sensitivity of cortical networks are currently not wellunderstood. Here, we show in a minimal model of cortical circuit dynamics thatexponential state separation after single spike and even single synapseperturbations coexists with dynamical stability to infinitesimal stateperturbations. We propose a unifying picture of exponentially separating fluxtubes enclosing unique stable trajectories composing the networks' statespaces.

Reservoirs of Stability: Flux Tubes in the Dynamics of Cortical Circuits