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oai:uvadoc.uva.es:10324/681052025-03-12T13:17:35Zcom_10324_1129com_10324_931com_10324_894col_10324_1193

Barkatou, Moulay Carnicero, Félix Álvaro Sanz Sánchez, Fernando 2024-06-13T20:48:35Z 2024-06-13T20:48:35Z 2023 Electronic Journal of Di erential Equations, Vol. 2023, No. 79, pp. 1-23. 1072-6691 https://uvadoc.uva.es/handle/10324/68105 10.58997/ejde.2023.79 1 23 Electronic Journal of Differential Equations 2023 1072-6691 We establish a version of Turrittin's result on normal forms of linear systems of meromorphic ODEs when the base eld K is real and closed. Both the proposed normal forms and the transformations used have coe cients in K. Our motivation comes from applications to the study of trajectories of real analytic vector elds (already treated in the literature in dimension three). For the sake of clarity and completeness, we rst review Turrittin's theorem in the case of an algebraically closed base eld. eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ Attribution-NonCommercial-NoDerivatives 4.0 Internacional Turrittin's normal forms for linear systems of meromorphic ODEs over the real field info:eu-repo/semantics/article