2026-04-27T13:49:00Zhttps://uvadoc.uva.es/oai/requestoai: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
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.
2024-06-13
2024-06-13
2023
info:eu-repo/semantics/article
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
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
Attribution-NonCommercial-NoDerivatives 4.0 Internacional