Synchronization induced by directed higher-order interactions

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

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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 originaleAnglais
Numéro d'article263
journalCommunications Physics
Volume5
Numéro de publication1
Date de mise en ligne précoce19 sept. 2022
Les DOIs
Etat de la publicationPublié - 28 oct. 2022

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