Network susceptibilities: Theory and applications - Kölner UniversitätsPublikationsServer

Manik, Debsankha, Rohden, Martin, Ronellenfitsch, Henrik, Zhang, Xiaozhu ORCID: 0000-0003-3816-1478, Hallerberg, Sarah ORCID: 0000-0002-7026-7937, Witthaut, Dirk ORCID: 0000-0002-3623-5341 and Timme, Marc ORCID: 0000-0002-5956-3137 (2017). Network susceptibilities: Theory and applications. Phys. Rev. E, 95 (1). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1550-2376

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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.

Item Type:

Journal Article

Creators:

Creators	Email	ORCID	ORCID Put Code
Manik, Debsankha	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Rohden, Martin	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Ronellenfitsch, Henrik	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED
Zhang, Xiaozhu	UNSPECIFIED	orcid.org/0000-0003-3816-1478	UNSPECIFIED
Hallerberg, Sarah	UNSPECIFIED	orcid.org/0000-0002-7026-7937	UNSPECIFIED
Witthaut, Dirk	UNSPECIFIED	orcid.org/0000-0002-3623-5341	UNSPECIFIED
Timme, Marc	UNSPECIFIED	orcid.org/0000-0002-5956-3137	UNSPECIFIED