In this chapter, we derive and analyse models for consensus dynamics onhypergraphs . We focus on dynamics based on a certain class of non-linear interaction functions . We show how our nonlinear model dynamics cause shifts away from the average system state . We examine how theseshifts are influenced by the distribution of the initial states, the underlyinghypergraph structure and different forms of non .linear scaling of the nodeinteraction function . We also examine how these shifts are influenced . by the distributions of the . initial states and the underlying hypergraph structure of the underlying Hypergraph structure .

Author(s) : Leonie Neuhäuser, Renaud Lambiotte, Michael T. Schaub

Links : PDF - Abstract

Code :

https://github.com/nhynes/abc


Coursera

Keywords : dynamics - structure - influenced - initial - hypergraph -

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