TY  - JOUR
AU  - Manik, Debsankha
AU  - Rohden, Martin
AU  - Ronellenfitsch, Henrik
AU  - Zhang, Xiaozhu
AU  - Hallerberg, Sarah
AU  - Witthaut, Dirk
AU  - Timme, Marc
TI  - Network susceptibilities: Theory and applications
JO  - Physical review / E
VL  - 95
IS  - 1
SN  - 1063-651X
CY  - Woodbury, NY
PB  - Inst.
M1  - FZJ-2017-01284
SP  - 012319
PY  - 2017
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000400777500014
C6  - pmid:28208371
DO  - DOI:10.1103/PhysRevE.95.012319
UR  - https://juser.fz-juelich.de/record/827086
ER  -