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math.DS2006
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…
math.DS2006★ 7 cited
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…