Función de Dulac en la Familia Loud.
Abstract
En este trabajo consideramos la familia Loud. Estudiamos la función de Dulac en un caso particular de esta familia. Calculamos el primer término del desarrollo de Dulac de esta función y determinamos que este desarrollo no tiene términos con logaritmos.
References
C. Chicone, review in MathScinet, ref. 94h:58072.
Dulac, H. Sur les cycles limites. Bull. Soc. Math. France 51, pp. 45-188, (1923).
Mardešić, P, Marín, D and Villadelprat, J. On the time function of the Dulac map for families of meromorphic vector fields, Nonlinearity, 16, pp. 855-881, (2003).
Mardešić, P, Marín, D and Villadelprat, J. The period function of reversible quadratic centers, J. Differential Equations 224, pp. 120-171, (2006).
Moussu, R. Le problème de la finitude du nombre de cycles limites, Séminaire Bourbaki, exp. N 655, pp. 89-101, (1985).
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