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Two classes of functional connectivity in dynamical processes in networks

Voutsa, Venetia; Battaglia, Demian; Bracken, Louise; Brovelli, Andrea; Costescu, Julia; Diaz Munoz, Mario; Fath, Brian. D.; Funk, Andrea; Guirro, Mel; Hein, Thomas; Kerschner, Christian; Kimmich, Christian; Lima, Vinicius; Messe, Arnaud; Parsons, Anthony. J.; Perez, John; Poeppl, Ronald; Prell, Christina; Recinos, Sonia; Shi, Yanhua; Tiwari, Shubham; Turnbull, Laura; Wainwright, John; Waxenecker, Harald; Huett, Marc-Thorsten

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Venetia Voutsa

Demian Battaglia

Louise Bracken

Andrea Brovelli

Julia Costescu

Mario Diaz Munoz

Brian. D. Fath

Andrea Funk

Mel Guirro

Thomas Hein

Christian Kerschner

Christian Kimmich

Vinicius Lima

Arnaud Messe

Anthony. J. Parsons

John Perez

Ronald Poeppl

Christina Prell

Sonia Recinos

Yanhua Shi

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Shubham Tiwari
PGR Student Doctor of Philosophy

Laura Turnbull

John Wainwright

Harald Waxenecker

Marc-Thorsten Huett



The relationship of network structure and dynamics is one of the most extensively investigated problems in the theory of complex systems of the last years. Understanding this relationship is of relevance to a range of disciplines – from Neuroscience to Geomorphology. A major strategy of investigating this relationship is the quantitative comparison of a representation of network architecture (structural connectivity) with a (network) representation of the dynamics (functional connectivity). Here, we show that one can distinguish two classes of functional connectivity – one based on simultaneous activity (co-activity) of nodes, the other based on sequential activity of nodes. We delineate these two classes in different categories of dynamical processes – excitations, regular and chaotic oscillators – and provide examples for SC/FC correlations of both classes in each of these models. We expand the theoretical view of the SC/FC relationships, with conceptual instances of the SC and the two classes of FC for various application scenarios in Geomorphology, Ecology, Systems Biology, Neuroscience and Socio-Ecological Systems. Seeing the organisation of dynamical processes in a network either as governed by co-activity or by sequential activity allows us to bring some order in the myriad of observations relating structure and function of complex networks.


Voutsa, V., Battaglia, D., Bracken, L., Brovelli, A., Costescu, J., Diaz Munoz, M., …Huett, M. (2021). Two classes of functional connectivity in dynamical processes in networks. Journal of the Royal Society. Interface, 18(183), Article 20210486.

Journal Article Type Article
Acceptance Date Sep 13, 2021
Online Publication Date Oct 20, 2021
Publication Date 2021-10
Deposit Date Oct 7, 2021
Publicly Available Date Oct 7, 2021
Journal Journal of the Royal Society Interface
Print ISSN 1742-5689
Publisher The Royal Society
Peer Reviewed Peer Reviewed
Volume 18
Issue 183
Article Number 20210486


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