000153604 001__ 153604
000153604 005__ 20251017144551.0
000153604 0247_ $$2doi$$a10.1103/PhysRevE.111.034302
000153604 0248_ $$2sideral$$a143747
000153604 037__ $$aART-2025-143747
000153604 041__ $$aeng
000153604 100__ $$aLamata-Otín, Santiago$$uUniversidad de Zaragoza
000153604 245__ $$aHyperedge overlap drives synchronizability of systems with higher-order interactions
000153604 260__ $$c2025
000153604 5060_ $$aAccess copy available to the general public$$fUnrestricted
000153604 5203_ $$aThe microscopic organization of dynamical systems coupled via higher-order interactions plays a pivotal role in understanding their collective behavior. In this paper, we introduce a framework for systematically investigating the impact of the interaction structure on dynamical processes. Specifically, we develop an hyperedge overlap matrix whose elements characterize the two main aspects of the microscopic organization of higher-order interactions: the inter-order hyperedge overlap (nondiagonal matrix elements) and the intra-order hyperedge overlap (encapsulated in the diagonal elements). In this way, the first set of terms quantifies the extent of superposition of nodes among hyperedges of different orders, while the second focuses on the number of nodes in common between hyperedges of the same order. Our findings indicate that large values of both types of hyperedge overlap hinder synchronization stability, and that the larger is the order of interactions involved, the more important is their role. Our findings also indicate that the two types of overlap have qualitatively distinct effects on the dynamics of coupled chaotic oscillators. In particular, large values of intra-order hyperedge overlap hamper synchronization by favoring the presence of disconnected sets of hyperedges, while large values of inter-order hyperedge overlap hinder synchronization by increasing the number of shared nodes between groups converging on different trajectories, without necessarily causing disconnected sets of hyperedges.
000153604 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E36-23R-FENOL$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-113582GB-I00$$9info:eu-repo/grantAgreement/ES/MICINN/PID2023-147734NB-I00
000153604 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000153604 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000153604 700__ $$aMalizia, Federico
000153604 700__ $$aLatora, Vito
000153604 700__ $$aFrasca, Mattia
000153604 700__ $$0(orcid)0000-0001-5204-1937$$aGómez-Gardeñes, Jesús$$uUniversidad de Zaragoza
000153604 7102_ $$12003$$2395$$aUniversidad de Zaragoza$$bDpto. Física Materia Condensa.$$cÁrea Física Materia Condensada
000153604 773__ $$g111, 3 (2025), 034302 [13 pp.]$$pPhys. rev., E$$tPhysical Review E$$x2470-0045
000153604 8564_ $$s4709613$$uhttps://zaguan.unizar.es/record/153604/files/texto_completo.pdf$$yPostprint
000153604 8564_ $$s3261557$$uhttps://zaguan.unizar.es/record/153604/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000153604 909CO $$ooai:zaguan.unizar.es:153604$$particulos$$pdriver
000153604 951__ $$a2025-10-17-14:11:48
000153604 980__ $$aARTICLE