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

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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 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	263
DOIs	https://doi.org/10.1038/s42005-022-01040-9
Publication status	Published - 28 Oct 2022

Keywords

high-order networks
directed interactions
synchronization
complex networks
hypergraphs
simplicial complex

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1038/s42005-022-01040-9

preprint

Synchronization of multiple time scale dynamical systems on networks: chimera states and ‘canard’-phenomena
MUOLO, R. (PI) & Carletti, T. (Supervisor)
1/01/22 → 23/09/23
Project: Research

Emergent synchronisation in interconnected systems
Carletti, T. (Speaker)
31 Jan 2023
Activity: Talk or presentation types › Invited talk

Behind the paper: Synchronization induced by directed higher-order interactions
Muolo, R. & Carletti, T.
10/11/22
1 Media contribution
Press/Media: Other

Cite this

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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.",

keywords = "high-order networks, directed interactions, synchronization, complex networks, hypergraphs, simplicial complex",

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

note = "Funding Information: The authors thank the three referees for useful comments in reviewing this article. L.G. acknowledges the Erasmus+ program for funding his visit in the group of Professor T.C. R.M. is supported by a FRIA-FNRS PhD fellowship, Grant FC 33443, funded by the Walloon region. R.M. acknowledges the Erasmus+ program for funding his visit in the group of Professor M.F. L.V.G. and M.F. acknowledge partial support from the Italian Ministry of University and Research under the PRIN program, project VECTORS. Publisher Copyright: {\textcopyright} 2022, The Author(s).",

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doi = "10.1038/s42005-022-01040-9",

language = "English",

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AU - GALLO, Luca

AU - Muolo, Riccardo

AU - Gambuzza, Lucia Valentina

AU - Latora, Vito

AU - Frasca, Mattia

AU - Carletti, Timoteo

N1 - Funding Information: The authors thank the three referees for useful comments in reviewing this article. L.G. acknowledges the Erasmus+ program for funding his visit in the group of Professor T.C. R.M. is supported by a FRIA-FNRS PhD fellowship, Grant FC 33443, funded by the Walloon region. R.M. acknowledges the Erasmus+ program for funding his visit in the group of Professor M.F. L.V.G. and M.F. acknowledge partial support from the Italian Ministry of University and Research under the PRIN program, project VECTORS. Publisher Copyright: © 2022, The Author(s).

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Y1 - 2022/10/28

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.

KW - high-order networks

KW - directed interactions

KW - synchronization

KW - complex networks

KW - hypergraphs

KW - simplicial complex

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JO - Communications Physics

JF - Communications Physics

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ER -

Synchronization induced by directed higher-order interactions

Abstract

Keywords

UN SDGs

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Projects

Synchronization of multiple time scale dynamical systems on networks: chimera states and ‘canard’-phenomena

Activities

Emergent synchronisation in interconnected systems

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Behind the paper: Synchronization induced by directed higher-order interactions

Cite this