Communications Physics (Feb 2021)

Phase transitions and stability of dynamical processes on hypergraphs

  • Guilherme Ferraz de Arruda,
  • Michele Tizzani,
  • Yamir Moreno

DOI
https://doi.org/10.1038/s42005-021-00525-3
Journal volume & issue
Vol. 4, no. 1
pp. 1 – 9

Abstract

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A general theory for dynamical processes in higher-order systems is still missing. Here, the authors provide a general mathematical framework based on linear stability analysis that allows to assess the stability of classes of processes on arbitrary hypergraphs.