147703 20241220131257.0 doi 10.1016/j.physd.2024.134457 sideral 141152 ART-2025-141152 eng Mayora-Cebollero, Ana Universidad de Zaragoza (orcid)0000-0002-4802-2511 Almost synchronization phenomena in the two and three coupled Brusselator systems 2025 We present a study of some temporal almost synchronization phenomena of systems of two and three coupled Brusselators: they are approximately synchronized during most of the dynamics, only losing synchronization for small times and quickly returning to an almost synchronized state. Here we show two situations where this phenomenon occurs, one related with codimension-two Hopf–pitchfork bifurcations, and the other one due to the existence of fast–slow dynamics. On the one hand, a detailed characterization of the codimension-two Hopf–pitchfork bifurcations in the model allows us to determine the regions of the parameter space in which this phenomenon occurs. On the other hand, a fast–slow analysis of the two coupled Brusselators, using singular perturbation theory, illustrates the second situation studied here. We next analyze this phenomenon numerically, by explicitly calculating the fraction of time during which different trajectories are almost synchronized. Our results are then extended to the case of three coupled Brusselators. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/AEI/PID2021-122961NB-I00 info:eu-repo/grantAgreement/ES/DGA/E24-23R info:eu-repo/grantAgreement/ES/MICINN-AEI/PID2020-113052GB-I00 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Jover-Galtier, Jorge A. Universidad de Zaragoza (orcid)0000-0001-9868-9368 Drubi, Fátima Ibáñez, Santiago Lozano, Álvaro Universidad de Zaragoza (orcid)0000-0002-1184-5901 Mayora-Cebollero, Carmen Universidad de Zaragoza (orcid)0000-0002-3431-0926 Barrio, Roberto Universidad de Zaragoza (orcid)0000-0002-8089-343X 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 472 (2025), 134457 [20 pp.] Physica, D PHYSICA D-NONLINEAR PHENOMENA 0167-2789 6447397 http://zaguan.unizar.es/record/147703/files/texto_completo.pdf Versión publicada 2748048 http://zaguan.unizar.es/record/147703/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:147703 articulos driver 2024-12-20-12:02:11 ARTICLE