153604 20251017144551.0 doi 10.1103/PhysRevE.111.034302 sideral 143747 ART-2025-143747 eng Lamata-Otín, Santiago Universidad de Zaragoza Hyperedge overlap drives synchronizability of systems with higher-order interactions 2025 Access copy available to the general public Unrestricted The 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. info:eu-repo/grantAgreement/ES/DGA/E36-23R-FENOL info:eu-repo/grantAgreement/ES/MICINN/PID2020-113582GB-I00 info:eu-repo/grantAgreement/ES/MICINN/PID2023-147734NB-I00 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Malizia, Federico Latora, Vito Frasca, Mattia Gómez-Gardeñes, Jesús Universidad de Zaragoza (orcid)0000-0001-5204-1937 2003 395 Universidad de Zaragoza Dpto. Física Materia Condensa. Área Física Materia Condensada 111, 3 (2025), 034302 [13 pp.] Phys. rev., E Physical Review E 2470-0045 4709613 http://zaguan.unizar.es/record/153604/files/texto_completo.pdf Postprint 3261557 http://zaguan.unizar.es/record/153604/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:153604 articulos driver 2025-10-17-14:11:48 ARTICLE