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000827086 1001_ $$0P:(DE-HGF)0$$aManik, Debsankha$$b0$$eCorresponding author
000827086 245__ $$aNetwork susceptibilities: Theory and applications
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000827086 520__ $$aWe 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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000827086 7001_ $$0P:(DE-HGF)0$$aRohden, Martin$$b1
000827086 7001_ $$0P:(DE-HGF)0$$aRonellenfitsch, Henrik$$b2
000827086 7001_ $$0P:(DE-HGF)0$$aZhang, Xiaozhu$$b3
000827086 7001_ $$0P:(DE-HGF)0$$aHallerberg, Sarah$$b4
000827086 7001_ $$0P:(DE-Juel1)162277$$aWitthaut, Dirk$$b5$$ufzj
000827086 7001_ $$0P:(DE-HGF)0$$aTimme, Marc$$b6
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