Synchronization induced by directed higher-order interactions

被引：58

作者：

Gallo, Luca ^{[1
,2
,3
]}

Muolo, Riccardo ^{[3
,4
,5
]}

Gambuzza, Lucia Valentina ^{[6
]}

Latora, Vito ^{[1
,2
,7
,8
]}

Frasca, Mattia ^{[6
,9
]}

Carletti, Timoteo ^{[3
,4
]}

机构：

[1] Univ Catania, Dept Phys & Astron Ettore Majorana, Via S Sofia 64, I-95125 Catania, Italy

[2] Ist Nazl Fis Nucl, Sez Catania, Via S Sofia 64, I-95125 Catania, Italy

[3] Namur Inst Complex Syst, NaXys, Rue Grafe 2, B-5000 Namur, Belgium

[4] Univ Namur, Dept Math, Rue Grafe 2, B-5000 Namur, Belgium

[5] Univ Fed Rio de Janeiro, Dept Appl Math, Math Inst, Ave Athos da Silveira Ramos 149, BR-21941909 Rio De Janeiro, Brazil

[6] Univ Catania, Dept Elect Elect & Comp Sci Engn, Viale Andrea Doria 6, I-95125 Catania, Italy

[7] Queen Mary Univ London, Sch Math Sci, Mile End Rd, London E1 4NS, England

[8] Complex Sci Hub, Josefstadter Str 39, A-1080 Vienna, Austria

[9] Consiglio Nazl Ric IASI CNR, Ist Anal Sistemi Informat A Ruberti, Via Taurini 19, I-00185 Rome, Italy

来源：

COMMUNICATIONS PHYSICS | 2022年 / 5卷 / 01期

关键词：

COMPLEX; DYNAMICS;

D O I：

10.1038/s42005-022-01040-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. There is increasing evidence that many higher-order interactions in complex systems are directed. Here, the authors provide a tensorial formalism for directed hypergraphs and investigate their synchronization properties generalizing the Master Stability Function approach.

引用

页数：11

共 61 条

[1] Coloring the normalized Laplacian for oriented hypergraphs [J].