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

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

  • 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.

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