2003/01/09 by Jorge A. González-Ramírez, Jorge A. González-ramírez, Ignacio Luengo +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Meromorphic and Entire Functions #Functional Equations Stability Results
paper · doi:10.1081/agb-120022790
Abstract Given a real analytic function f(x, y) with one critical point P 0, we study deformations f t of fsuch that, for any t ≠ 0, the analytic function f t has no critical points in a neighborhood of P 0. We give explicitly a deformation without real critical points for any function which has only one real branch with characteristic exponents (4, 2q, r).