Phase transitions and stability of dynamical processes on hypergraphs

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.

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Autores principales: Guilherme Ferraz de Arruda, Michele Tizzani, Yamir Moreno
Formato: article
Lenguaje:EN
Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/55138b7280324bb78f27748082c1b1c7
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spelling oai:doaj.org-article:55138b7280324bb78f27748082c1b1c72021-12-02T12:09:50ZPhase transitions and stability of dynamical processes on hypergraphs10.1038/s42005-021-00525-32399-3650https://doaj.org/article/55138b7280324bb78f27748082c1b1c72021-02-01T00:00:00Zhttps://doi.org/10.1038/s42005-021-00525-3https://doaj.org/toc/2399-3650A 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.Guilherme Ferraz de ArrudaMichele TizzaniYamir MorenoNature PortfolioarticleAstrophysicsQB460-466PhysicsQC1-999ENCommunications Physics, Vol 4, Iss 1, Pp 1-9 (2021)
institution DOAJ
collection DOAJ
language EN
topic Astrophysics
QB460-466
Physics
QC1-999
spellingShingle Astrophysics
QB460-466
Physics
QC1-999
Guilherme Ferraz de Arruda
Michele Tizzani
Yamir Moreno
Phase transitions and stability of dynamical processes on hypergraphs
description 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.
format article
author Guilherme Ferraz de Arruda
Michele Tizzani
Yamir Moreno
author_facet Guilherme Ferraz de Arruda
Michele Tizzani
Yamir Moreno
author_sort Guilherme Ferraz de Arruda
title Phase transitions and stability of dynamical processes on hypergraphs
title_short Phase transitions and stability of dynamical processes on hypergraphs
title_full Phase transitions and stability of dynamical processes on hypergraphs
title_fullStr Phase transitions and stability of dynamical processes on hypergraphs
title_full_unstemmed Phase transitions and stability of dynamical processes on hypergraphs
title_sort phase transitions and stability of dynamical processes on hypergraphs
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/55138b7280324bb78f27748082c1b1c7
work_keys_str_mv AT guilhermeferrazdearruda phasetransitionsandstabilityofdynamicalprocessesonhypergraphs
AT micheletizzani phasetransitionsandstabilityofdynamicalprocessesonhypergraphs
AT yamirmoreno phasetransitionsandstabilityofdynamicalprocessesonhypergraphs
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