Resumen de Characterization of the Existence of Non-trivial Limit Cycles for Generalized Abel Equations

María Jesus Álvarez Torres, José Luis Bravo Trinidad , Manuel Fernández García-Hierro , Rafel Jaume Prohens Sastre

• In this paper, we consider the family of generalized Abel equations of the form x = A(t)xm + B(t)xn, where A, B are trigonometric polynomials and m, n ∈ N. We characterize the existence of non-trivial limit cycles in this family, in terms of the trigonometric monomials.