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    Revista Colombiana de Matemáticas
    Volumen 29 [ 2] ( 1995) Páginas 89-93


    About the generalized Hopf bifurcations at infinity for planar cubic systems

    Eduardo Sáez


    Renato Vásquez
    Universidad Técnica Federico Santa María, Valparaíso, CHILE

    Jorge Billeke
    Universidad de Santiago de Chile, Santiago, CHILE


    Abstract. In this paper we prove the existence of four infinitesimal limit cycles bifurcating from infinity for a class of planar cubic systems. Necessary and sufficient conditions to obtain a center for that class are established.

    Palabras claves. Limit cycles, cubic systems, center conditions.

    Codigo AMS. 1991 Primary 34C05. Secondary 34C35.