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math.DS2003
On Peixoto's Conjecture for Flows on Non-orientable 2-Manifolds
Carlos Gutierrez, Benito Pires
Let M be a non-orientable compact 2-manifold of genus 4. Then there exists a family of quasi-minimal, Kupka-Smale smooth vector fields X_r in M, depending smoothly on 0<=r<e, such…
math.DS2003
The Markus-Yamabe Conjecture for Differentiable vector fields of R^2
Carlos Gutierrez, Roland Rabanal
(a) Let X=(f,g) be a differentiable map in the plane (not necessarily C^1) and let Spec(X) be the set of (complex) eigenvalues of the derivative DX(p) when p varies in R^2. If, for…