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20032007
most citedThe Implicit Function Theorem for continuous functions

4 citations · 6 across the 7 of their papers we have counts for

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Showing 2007 · math.DSShow all

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math.DS2007

Planar maps whose second iterate has a unique fixed point

Begoña Alarcón, Carlos Gutierrez, José Martínez-Alfaro

Let a>0, F: R^2 -> R^2 be a differentiable (not necessarily C^1) map and Spec(F) be the set of (complex) eigenvalues of the derivative F'(p) when p varies in R^2. (a) If Spec(F) is…

math.DS2007

Planar Embeddings with a Globally Attracting Fixed Point

Begona Alarcon, Victor Guinez, Carlos Gutierrez

We consider sufficient conditions which guarantee that a planar embedding has a unique fixed point. We study sufficient conditions which imply the appearing of a globally attractin…