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math.DS2008
On the characterization of algebraically integrable plane foliations
C. Galindo, F. Monserrat
We give a characterization theorem for non-degenerated plane foliations of degree different from 1 having a rational first integral. Moreover, we prove that the degree of a non…
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…