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  Network susceptibilities: Theory and applications

Manik, D., Rohden, M., Ronellenfitsch, H., Zhang, X., Hallerberg, S., Witthaut, D., et al. (2017). Network susceptibilities: Theory and applications. Physical Review E, 95(1): 012319. doi:10.1103/PhysRevE.95.012319.

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 Creators:
Manik, Debsankha1, Author              
Rohden, M., Author
Ronellenfitsch, Henrik2, Author              
Zhang, Xiaozhu1, Author              
Hallerberg, Sarah1, Author              
Witthaut, D., Author
Timme, Marc1, Author              
Affiliations:
1Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063295              
2Max Planck Research Group Physics of Biological Organization, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063293              

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 Abstract: We introduce the concept of network susceptibilities quantifying the response of the collective dynamics of a network to small parameter changes. We distinguish two types of susceptibilities: vertex susceptibilities and edge susceptibilities, measuring the responses due to changes in the properties of units and their interactions, respectively. We derive explicit forms of network susceptibilities for oscillator networks close to steady states and offer example applications for Kuramoto-type phase-oscillator models, power grid models, and generic flow models. Focusing on the role of the network topology implies that these ideas can be easily generalized to other types of networks, in particular those characterizing flow, transport, or spreading phenomena. The concept of network susceptibilities is broadly applicable and may straightforwardly be transferred to all settings where networks responses of the collective dynamics to topological changes are essential.

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Language(s): eng - English
 Dates: 2017-01-232017-01
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1103/PhysRevE.95.012319
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Title: Physical Review E
Source Genre: Journal
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Pages: 13 Volume / Issue: 95 (1) Sequence Number: 012319 Start / End Page: - Identifier: -