Abstract

GONZALEZ-RAMIREZ, L. Rocío; OSUNA, Osvaldo  and  SANTAELLA-FORERO, Rubén. On the limit cycles of quasihomogeneous polynomial systems. Rev.colomb.mat. [online]. 2015, vol.49, n.2, pp.261-268. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v49n2.60443.

Abstract In this work, the nonexistence of limit cycles for classes of p − q quasi-homogeneous polynomial planar systems of weighted degree l is established. Furthermore, we rule out the existence of limits cycles for certain perturbations of such planar systems. We present applications and examples in order to illustrate our results.

Keywords : Integrating factors; Inverse integrating factors; Limit cycles; p − q-quasi-homogeneous systems.

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