Luengo Velasco, IgnacioGonzález Ramírez, Jorge A.2023-06-202023-06-2020030092-787210.1081/AGB-120022790https://hdl.handle.net/20.500.14352/57593Given a real analytic function f(x, y) with one critical point P-0, we Study deformations f(1) of f such that, for any t not equal 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).journal articlehttp://www.tandfonline.com/doi/full/10.1081/AGB-120022790http://www.tandfonline.com/metadata only access517SingularitiesReal analytic functionOne critical pointDeformationAnálisis matemático1202 Análisis y Análisis Funcional