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

^*Corresponding author for this work

University of Catania
National Institute for Nuclear Physics
Universite de Namur
Universidade Federal do Rio de Janeiro
Queen Mary University of London
Complexity Science Hub Vienna
National Research Council of Italy

Research output: Contribution to journal › Article › peer-review

Abstract (may include machine translation)

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.

Original language	English
Article number	263
Journal	Communications Physics
Volume	5
Issue number	1
DOIs	https://doi.org/10.1038/s42005-022-01040-9
State	Published - Dec 2022
Externally published	Yes

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10.1038/s42005-022-01040-9License: CC BY

Gallo-Luca3_2022Publisher version, 1.41 MBLicense: CC BY

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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.",

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

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AU - Muolo, Riccardo

AU - Gambuzza, Lucia Valentina

AU - Latora, Vito

AU - Frasca, Mattia

AU - Carletti, Timoteo

PY - 2022/12

Y1 - 2022/12

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.

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ER -

Synchronization induced by directed higher-order interactions

Abstract (may include machine translation)

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