4 citations · 6 across the 8 of their papers we have counts for
4 papers · 1 filter
On Cr-closing for flows on orientable and non-orientable 2-manifolds
Carlos Gutierrez, Benito Pires
We provide an affirmative answer to the Cr Closing Lemma, r>1, for a large class of flows defined on every closed surface.
Foliations and Polynomial Diffeomorphisms of
Carlos Gutierrez, Carlos Maquera
Let be a map and let $\spec(Y)$ denote the set of eigenvalues of the derivative , when varies in . We…
Asymptotic stability at infinity for differentiable vector fields of the plane
C. Gutierrez, B. Pires, R. Rabanal
Let X:R2\Dr->R2 be a differentiable (but not necessarily C1) vector field, where r>0 and Dr={z\in R2:|z|\le r}. If for some e>0 and for all p\in R2\Dr, no eigenvalue of D_p X belon…
Injectivity of differentiable maps R^2 --> R^2 at infinity
Carlos Gutierrez, Roland Rabanal
The main result given in Theorem~1.1 is a condition for a map , defined on the complement of a disk in R^2 with values in R^2, to be extended to a topological embedding of R…