Abstract
We explore an evolutionary network model of pulse-coupled neurons in which the changes of evolutionary coupling strengths are based on Hebbian synaptic plasticity. We show that the ongoing changes of the evolutionary network's nodal-and-coupling dynamics will eventually result in group synchrony and sync-dependent circuits. We also tackle the problem of the stability of neural synchrony and the problem of determining the size of synchronously firing neural groups. This leads to describing a phenomenon underlying synchrony and stability of synchrony that neural synchrony allows positive feedback from which a monotonically increasing sequence of coupling strengths and a monotonically increasing region of states for initializing the stability process arise.
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