This title appears in the Scientific Report :
2017
Please use the identifier:
http://hdl.handle.net/2128/14177 in citations.
Please use the identifier: http://dx.doi.org/10.1103/PhysRevE.95.012319 in citations.
Network susceptibilities: Theory and applications
Network susceptibilities: Theory and applications
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...
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Personal Name(s): | Manik, Debsankha (Corresponding author) |
---|---|
Rohden, Martin / Ronellenfitsch, Henrik / Zhang, Xiaozhu / Hallerberg, Sarah / Witthaut, Dirk / Timme, Marc | |
Contributing Institute: |
Systemforschung und Technologische Entwicklung; IEK-STE |
Published in: | Physical review / E, 95 (2017) 1, S. 012319 |
Imprint: |
Woodbury, NY
Inst.
2017
|
PubMed ID: |
28208371 |
DOI: |
10.1103/PhysRevE.95.012319 |
Document Type: |
Journal Article |
Research Program: |
Kollektive Nichtlineare Dynamik Komplexer Stromnetze Helmholtz Young Investigators Group "Efficiency, Emergence and Economics of future supply networks" Assessment of Energy Systems – Addressing Issues of Energy Efficiency and Energy Security |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1103/PhysRevE.95.012319 in citations.
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. |