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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Nature Portfolio
2021
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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) |
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DOAJ |
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DOAJ |
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EN |
topic |
Astrophysics QB460-466 Physics QC1-999 |
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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 |
_version_ |
1718394629021237248 |