Synchronization Analysis of Neuronal Networks by Means of Recurrence Plots

André Bergner, M Carmen Romano, Jurgen Kurths, Marco Thiel

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We present a method for synchronization analysis, that is able to handle large networks of interacting dynamical units. We focus on large networks with different topologies (random, small-world and scale-free) and neuronal dynamics at each node. We consider neurons that exhibit dynamics on two time scales, namely spiking and bursting behavior. The proposed method is able to distinguish between synchronization of spikes and synchronization of bursts, so that we analyze the synchronization of each time scale separately. We find for all network topologies that the synchronization of the bursts sets in for smaller coupling strengths than the synchronization of the spikes. Furthermore, we obtain an interesting behavior for the synchronization of the spikes dependent on the coupling strength: for small values of the coupling, the synchronization of the spikes increases, but for intermediate values of the coupling, the synchronization index of the spikes decreases. For larger values of the coupling strength, the synchronization index increases again until all the spikes synchronize.
Original languageEnglish
Title of host publicationLectures in Supercomputational Neurosciences
Subtitle of host publicationDynamics in Complex Brain Networks
EditorsPeter beim Graben, Changsong Zhou, Marco Thiel, Jurgen Kurths
Place of PublicationBerlin, Germany
PublisherSpringer Science+Business Media
Pages177-191
Number of pages15
ISBN (Electronic)9783540731597
ISBN (Print)354073158X, 9783540731580
DOIs
Publication statusPublished - 20 Dec 2007

Publication series

NameUnderstanding Complex Systems
PublisherSpringer Science+Business Media
ISSN (Print)1860-0832

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Bergner, A., Romano, M. C., Kurths, J., & Thiel, M. (2007). Synchronization Analysis of Neuronal Networks by Means of Recurrence Plots. In P. beim Graben, C. Zhou, M. Thiel, & J. Kurths (Eds.), Lectures in Supercomputational Neurosciences: Dynamics in Complex Brain Networks (pp. 177-191). (Understanding Complex Systems). Berlin, Germany: Springer Science+Business Media. https://doi.org/10.1007/978-3-540-73159-7_6