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Erschienen in:
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2015 | OriginalPaper | Buchkapitel

Patterns of Synchrony in Neuronal Networks: The Role of Synaptic Inputs

verfasst von : Igor Belykh, Martin Hasler

Erschienen in: Nonlinear Dynamics New Directions

Verlag: Springer International Publishing

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Abstract

We study the role of network architecture and synaptic inputs in the formation of synchronous clusters in synaptically coupled networks of bursting neurons. Through analysis and numerics, we show that the stability of the completely synchronous state, representing the largest cluster, only depends on the number of synaptic inputs each neuron receives, independent from all other details of the network topology. We also give a simple combinatorial algorithm that finds synchronous clusters from the network topology. We demonstrate that networks with a certain degree of internal symmetries are likely to have cluster decompositions with relatively large clusters, leading potentially to cluster synchronization at the mesoscale network level. We address the asymptotic stability of cluster synchronization in excitatory networks of bursting neurons and derive explicit thresholds for the coupling strength that guarantees stable cluster synchronization.

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Metadaten
Titel
Patterns of Synchrony in Neuronal Networks: The Role of Synaptic Inputs
verfasst von
Igor Belykh
Martin Hasler
Copyright-Jahr
2015
Buch
Nonlinear Dynamics New Directions

Print ISBN: 978-3-319-09863-0

Electronic ISBN: 978-3-319-09864-7

Copyright-Jahr: 2015

DOI
https://doi.org/10.1007/978-3-319-09864-7_1

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