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Synchronization induced by directed higher-order interactions

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

Communications physics, 2022-10, Vol.5 (1), p.1-11, Article 263 [Periódico revisado por pares]

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Título:
Synchronization induced by directed higher-order interactions
Autor: Gallo, Luca ; Muolo, Riccardo ; Gambuzza, Lucia Valentina ; Latora, Vito ; Frasca, Mattia ; Carletti, Timoteo
Assuntos: Applied mathematics ; Complex systems ; Decomposition ; Dynamical systems ; Graph theory ; Physics ; Synchronism
É parte de: Communications physics, 2022-10, Vol.5 (1), p.1-11, Article 263
Descrição: 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.
Editor: London: Nature Publishing Group
Idioma: Inglês

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