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Resumen de Nondegenerate and Nilpotent Centers for a Cubic System of Differential Equations

Antonio Algaba Durán Árbol académico, Cristóbal García García Árbol académico, Jaume Giné Mesa Árbol académico

  • We consider the autonomous system of differential equations of the form x˙=P1(x,y)+P2(x,y),y˙=Q1(x,y)+Q3(x,y),where Pi and Qi are homogeneous polynomials of degree i. For such systems we provide the necessary and sufficient conditions to have a center at the origin. In fact this family only has nondegenerate and nilpotent centers.

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