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

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

Access to Document

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

Cite this

@article{882a31824daa4bb4937fa83eed32e530,

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",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s).",

year = "2022",

month = dec,

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

language = "English",

volume = "5",

journal = "Communications Physics",

issn = "2399-3650",

number = "1",

}

TY - JOUR

T1 - Synchronization induced by directed higher-order interactions

AU - Gallo, Luca

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.

UR - http://www.scopus.com/inward/record.url?scp=85140900750&partnerID=8YFLogxK

U2 - 10.1038/s42005-022-01040-9

DO - 10.1038/s42005-022-01040-9

M3 - Article

AN - SCOPUS:85140900750

SN - 2399-3650

VL - 5

JO - Communications Physics

JF - Communications Physics

IS - 1

M1 - 263

ER -

Synchronization induced by directed higher-order interactions

Abstract (may include machine translation)

Access to Document

Other files and links

Fingerprint

Cite this