RT info:eu-repo/semantics/article
T1 Real analytic vector fields with first integral and separatrices
A1 Mol, Rogério
A1 Sánchez, Fernando Sanz
K1 Real analytic vector  eld,  rst integral, formal and analytic separatrix, reduction of singularities, index of vector  elds
AB We prove that a germ of analytic vector field at (R3, 0) that possesses a non-constant analytic first integral has a real formal separatrix. We provide an example which shows that such a vector field does not necessarily have a real analytic separatrix.
PB Springer
SN 1578-7303
YR 2019
FD 2019
LK https://uvadoc.uva.es/handle/10324/68130
UL https://uvadoc.uva.es/handle/10324/68130
LA eng
NO RACSAM, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, vol. 113 (4), 2019, 4031-4049
DS UVaDOC
RD 30-jun-2024