Synchronization induced by directed higher-order interactions

被引：0
作者：
Luca Gallo
Riccardo Muolo
Lucia Valentina Gambuzza
Vito Latora
Mattia Frasca
Timoteo Carletti
机构：
[1] Università di Catania,Department of Physics and Astronomy ‘Ettore Majorana’
[2] Sezione di Catania,INFN
[3] Namur Institute for Complex Systems,naXys
[4] Université de Namur,Department of Mathematics
[5] Mathematical Institute Federal University of Rio de Janeiro,Department of Applied Mathematics
[6] Università di Catania,Department of Electrical, Electronics and Computer Science Engineering
[7] Queen Mary University of London,School of Mathematical Sciences
[8] Vienna,Complexity Science Hub
[9] Consiglio Nazionale delle Ricerche (IASI-CNR),Istituto di Analisi dei Sistemi ed Informatica ‘A. Ruberti’
来源：
Communications Physics | / 5卷
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摘要：
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.
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