Journal Article

FZJ-2017-01284

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Network susceptibilities: Theory and applications

Manik, D. (Corresponding author) ; Rohden, M. ; Ronellenfitsch, H. ; Zhang, X. ; Hallerberg, S. ; Witthaut, D.FZJ* ; Timme, M.

2017
Inst. Woodbury, NY

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Please use a persistent id in citations: http://hdl.handle.net/2128/14177  doi:10.1103/PhysRevE.95.012319

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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Contributing Institute(s):

1. Systemforschung und Technologische Entwicklung (IEK-STE)

Research Program(s):

1. 153 - Assessment of Energy Systems – Addressing Issues of Energy Efficiency and Energy Security (POF3-153) (POF3-153)
2. VH-NG-1025 - Helmholtz Young Investigators Group "Efficiency, Emergence and Economics of future supply networks" (VH-NG-1025_20112014) (VH-NG-1025_20112014)
3. CoNDyNet - Kollektive Nichtlineare Dynamik Komplexer Stromnetze (PIK_082017) (PIK_082017)

Appears in the scientific report 2017

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Database coverage:
; ; ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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