TY  - JOUR 
AU  - Mol, Rogério
AU  - Sánchez, Fernando Sanz
PY  - 2019
SN  - 1578-7303
UR  - https://uvadoc.uva.es/handle/10324/68130
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...
LA  - eng
PB  - Springer
KW  - Real analytic vector  eld,  rst integral, formal and analytic separatrix, reduction of singularities, index of vector  elds
TI  - Real analytic vector fields with first integral and separatrices
DO  - 10.1007/s13398-019-00639-y
ER  -