Separatrices for Real Analytic Vector Fields in the Plane
Separatrices for Real Analytic Vector Fields in the Plane
Let X be a germ of real analytic vector field at (R 2 , 0) with an algebracally isolated singularity.We say that X is a topological generalized curve if there are no topological saddle-nodes in its reduction of singularities.In this case, we prove that if either the order ν0(X) or …