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@ARTICLE{Manik:827086,
      author       = {Manik, Debsankha and Rohden, Martin and Ronellenfitsch,
                      Henrik and Zhang, Xiaozhu and Hallerberg, Sarah and
                      Witthaut, Dirk and Timme, Marc},
      title        = {{N}etwork susceptibilities: {T}heory and applications},
      journal      = {Physical review / E},
      volume       = {95},
      number       = {1},
      issn         = {1063-651X},
      address      = {Woodbury, NY},
      publisher    = {Inst.},
      reportid     = {FZJ-2017-01284},
      pages        = {012319},
      year         = {2017},
      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.},
      cin          = {IEK-STE},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IEK-STE-20101013},
      pnm          = {153 - Assessment of Energy Systems – Addressing Issues of
                      Energy Efficiency and Energy Security (POF3-153) /
                      VH-NG-1025 - Helmholtz Young Investigators Group
                      "Efficiency, Emergence and Economics of future supply
                      networks" $(VH-NG-1025_20112014)$ / CoNDyNet - Kollektive
                      Nichtlineare Dynamik Komplexer Stromnetze $(PIK_082017)$},
      pid          = {G:(DE-HGF)POF3-153 / $G:(HGF)VH-NG-1025_20112014$ /
                      $G:(Grant)PIK_082017$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000400777500014},
      pubmed       = {pmid:28208371},
      doi          = {10.1103/PhysRevE.95.012319},
      url          = {https://juser.fz-juelich.de/record/827086},
}