Synchronization induced by directed higher-order interactions

Luca GALLO; Riccardo Muolo; Lucia Valentina Gambuzza; Vito Latora; Mattia Frasca; Timoteo Carletti

doi:10.1038/s42005-022-01040-9

Synchronization induced by directed higher-order interactions

Luca GALLO, Riccardo Muolo, Lucia Valentina Gambuzza, Vito Latora, Mattia Frasca, Timoteo Carletti

Résultats de recherche: Contribution à un journal/une revue › Article › Revue par des pairs

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Résumé

Non-reciprocal interactions play a crucial role in many social and biological complex systems. While directionality has been thoroughly accounted for in networks with pairwise interactions, its effects in systems with higher-order interactions have not yet been explored as deserved. Here, we introduce the concept of M-directed hypergraphs, a general class of directed higher-order structures, which allows to investigate dynamical systems coupled through directed group interactions. As an application we study the synchronization of nonlinear oscillators on 1-directed hypergraphs, finding that directed higher-order interactions can destroy synchronization, but also stabilize otherwise unstable synchronized states.

langue originale	Anglais
Numéro d'article	263
journal	Communications Physics
Volume	5
Numéro de publication	263
Les DOIs	https://doi.org/10.1038/s42005-022-01040-9
Etat de la publication	Publié - 28 oct. 2022

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10.1038/s42005-022-01040-9

preprint

Synchronisation des systèmes dynamiques multi-échelles: états chimera et phénomènes ‘canard’
MUOLO, R. (Responsable du Projet) & Carletti, T. (Promoteur)
1/01/22 → 23/09/23
Projet: Recherche

Emergent synchronisation in interconnected systems
Carletti, T. (Orateur)
31 janv. 2023
Activité: Discours ou présentation › Discours invité

Behind the paper: Synchronization induced by directed higher-order interactions
Muolo, R. & Carletti, T.
10/11/22
1 Contribution média
Presse/Médias: Autre

Contient cette citation

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title = "Synchronization induced by directed higher-order interactions",

abstract = "Non-reciprocal interactions play a crucial role in many social and biological complex systems. While directionality has been thoroughly accounted for in networks with pairwise interactions, its effects in systems with higher-order interactions have not yet been explored as deserved. Here, we introduce the concept of M-directed hypergraphs, a general class of directed higher-order structures, which allows to investigate dynamical systems coupled through directed group interactions. As an application we study the synchronization of nonlinear oscillators on 1-directed hypergraphs, finding that directed higher-order interactions can destroy synchronization, but also stabilize otherwise unstable synchronized states.",

keywords = "high-order networks, directed interactions, synchronization, complex networks, hypergraphs, simplicial complex",

author = "Luca GALLO and Riccardo Muolo and Gambuzza, {Lucia Valentina} and Vito Latora and Mattia Frasca and Timoteo Carletti",

note = "Funding Information: The authors thank the three referees for useful comments in reviewing this article. L.G. acknowledges the Erasmus+ program for funding his visit in the group of Professor T.C. R.M. is supported by a FRIA-FNRS PhD fellowship, Grant FC 33443, funded by the Walloon region. R.M. acknowledges the Erasmus+ program for funding his visit in the group of Professor M.F. L.V.G. and M.F. acknowledge partial support from the Italian Ministry of University and Research under the PRIN program, project VECTORS. Publisher Copyright: {\textcopyright} 2022, The Author(s).",

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doi = "10.1038/s42005-022-01040-9",

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AU - GALLO, Luca

AU - Muolo, Riccardo

AU - Gambuzza, Lucia Valentina

AU - Latora, Vito

AU - Frasca, Mattia

AU - Carletti, Timoteo

N1 - Funding Information: The authors thank the three referees for useful comments in reviewing this article. L.G. acknowledges the Erasmus+ program for funding his visit in the group of Professor T.C. R.M. is supported by a FRIA-FNRS PhD fellowship, Grant FC 33443, funded by the Walloon region. R.M. acknowledges the Erasmus+ program for funding his visit in the group of Professor M.F. L.V.G. and M.F. acknowledge partial support from the Italian Ministry of University and Research under the PRIN program, project VECTORS. Publisher Copyright: © 2022, The Author(s).

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Y1 - 2022/10/28

N2 - Non-reciprocal interactions play a crucial role in many social and biological complex systems. While directionality has been thoroughly accounted for in networks with pairwise interactions, its effects in systems with higher-order interactions have not yet been explored as deserved. Here, we introduce the concept of M-directed hypergraphs, a general class of directed higher-order structures, which allows to investigate dynamical systems coupled through directed group interactions. As an application we study the synchronization of nonlinear oscillators on 1-directed hypergraphs, finding that directed higher-order interactions can destroy synchronization, but also stabilize otherwise unstable synchronized states.

AB - Non-reciprocal interactions play a crucial role in many social and biological complex systems. While directionality has been thoroughly accounted for in networks with pairwise interactions, its effects in systems with higher-order interactions have not yet been explored as deserved. Here, we introduce the concept of M-directed hypergraphs, a general class of directed higher-order structures, which allows to investigate dynamical systems coupled through directed group interactions. As an application we study the synchronization of nonlinear oscillators on 1-directed hypergraphs, finding that directed higher-order interactions can destroy synchronization, but also stabilize otherwise unstable synchronized states.

KW - high-order networks

KW - directed interactions

KW - synchronization

KW - complex networks

KW - hypergraphs

KW - simplicial complex

U2 - 10.1038/s42005-022-01040-9

DO - 10.1038/s42005-022-01040-9

M3 - Article

SN - 2399-3650

VL - 5

JO - Communications Physics

JF - Communications Physics

IS - 263

M1 - 263

ER -

Synchronization induced by directed higher-order interactions

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Synchronisation des systèmes dynamiques multi-échelles: états chimera et phénomènes ‘canard’

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Emergent synchronisation in interconnected systems

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Behind the paper: Synchronization induced by directed higher-order interactions

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