" Synchronized bursting in synaptically coupled neuronal networks"

Abstract: We study the influence of coupling strength and network topology on synchronization behavior in excitatory and inhibitory networks of bursting neurons. First, we prove that the stability of the completely synchronous state in excitatory networks only depends on the number of signals each neuron receives, independent from all other details of the network topology. Through analysis and numerics, we show that the onset of synchrony in a network with any coupling topology admitting complete synchronization is ensured by one single condition (joint work with Martin Hasler and Enno de Lange ). Second, we analyze inhibitory networks of bursting neurons and discuss surprising effects of synaptic inhibition.We give the conditions on the individual neuron's properties under which weak common inhibition induces burst synchronization in strongly desynchronizing networks (joint work with Andrey Shilnikov).

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