Artículos de revistas
THE POINCARE-BENDIXSON THEOREM ON THE KLEIN BOTTLE FOR CONTINUOUS VECTOR FIELDS
Fecha
2009Registro en:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.25, n.2, p.495-509, 2009
1078-0947
10.3934/dcds.2009.25.495
Autor
DEMUNER, D. P.
FEDERSON, M.
GUTIERREZ, C.
Institución
Resumen
We present a version of the Poincare-Bendixson Theorem on the Klein bottle K(2) for continuous vector fields. As a consequence, we obtain the fact that K(2) does not admit continuous vector fields having a omega-recurrent injective trajectory.