130521 20241125101130.0 doi 10.1016/j.chaos.2023.113240 sideral 132535 ART-2023-132535 eng Drubi, Fátima Connecting chaotic regions in the Coupled Brusselator System 2023 Access copy available to the general public Unrestricted A family of vector fields describing two Brusselators linearly coupled by diffusion is considered. This model is a well-known example of how identical oscillatory systems can be coupled with a simple mechanism to create chaotic behavior. In this paper we discuss the relevance and possible relation of two chaotic regions. One of them is located using numerical techniques. The another one was first predicted by theoretical results and later studied via numerical and continuation techniques. As a conclusion, under the constrains of our exploration, both regions are not connected and, moreover, the former one has a big size, whereas the later one is quite small and hence, it might not be detected without the support of theoretical results. Our analysis includes a detailed analysis of singularities and local bifurcations that permits to provide a global parametric study of the system. info:eu-repo/grantAgreement/ES/AEI/PID2021-122961NB-I00 info:eu-repo/grantAgreement/ES/DGA/E22-20R info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17R info:eu-repo/grantAgreement/ES/DGA/LMP124-18 info:eu-repo/grantAgreement/ES/MCIU/FPU20-04039 info:eu-repo/grantAgreement/ES/MICINN/PGC2018-096026-B-I00 info:eu-repo/grantAgreement/ES/MICINN-AEI/PID2020-113052GB-I00 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 5.3 2023 PHYSICS, MATHEMATICAL 2 / 60 = 0.033 2023 Q1 T1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 7 / 135 = 0.052 2023 Q1 T1 PHYSICS, MULTIDISCIPLINARY 18 / 112 = 0.161 2023 Q1 T1 1.349 2023 Applied Mathematics 2023 Q1 Mathematical Physics 2023 Q1 Statistical and Nonlinear Physics 2023 Q1 Physics and Astronomy (miscellaneous) 2023 Q1 Mathematics (miscellaneous) 2023 Q1 13.2 2023 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Mayora Cebollero, Ana Universidad de Zaragoza (orcid)0000-0002-4802-2511 Mayora Cebollero, Carmen Universidad de Zaragoza (orcid)0000-0002-3431-0926 Ibáñez, Santiago Jover Galtier, Jorge Alberto Universidad de Zaragoza (orcid)0000-0001-9868-9368 Lozano, Álvaro Universidad de Zaragoza (orcid)0000-0002-1184-5901 Pérez, Lucía 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 169 (2023), 113240 [14 pp.] Chaos, solitons fractals Chaos, Solitons and Fractals 0960-0779 10095480 http://zaguan.unizar.es/record/130521/files/texto_completo.pdf Postprint 1349510 http://zaguan.unizar.es/record/130521/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130521 articulos driver 2024-11-22-11:58:43 ARTICLE