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

Turrittin's normal forms for linear systems of meromorphic ODEs over the real field Barkatou, Moulay Carnicero, Félix Álvaro Sanz Sánchez, Fernando Linear systems of meromorphic ODE Formal normal form Turrittin 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. 2024-06-13T20:48:35Z 2024-06-13T20:48:35Z 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 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 eng Attribution-NonCommercial-NoDerivatives 4.0 Internacional info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf https://uvadoc.uva.es/bitstream/10324/68105/4/2023_Barkatou-Carnicero-Sanz_EJDE.pdf.jpg Hispana TEXT http://creativecommons.org/licenses/by-nc-nd/4.0/ UVaDOC. Repositorio Documental de la Universidad de Valladolid https://uvadoc.uva.es/handle/10324/68105