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arXiv · 2202.08707

Synchronization induced by directed higher-order interactions

Luca Gallo·Riccardo Muolo·Lucia Valentina Gambuzza·Vito Latora·Mattia Frasca·Timoteo Carletti
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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 allow 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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Luca Gallo, Riccardo Muolo, Lucia Valentina Gambuzza, Vito Latora, Mattia Frasca, Timoteo Carletti. 2022-02-17. Synchronization induced by directed higher-order interactions. https://doi.org/10.1038/s42005-022-01040-9

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