On the limit cycles of quasihomogeneous polynomial systems

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...

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Bibliographic Details
Published in:Revista colombiana de matemáticas 2016-10, Vol.49 (2), p.261
Main Authors: González-Ramírez, L. Rocío, Osuna, Osvaldo, Santaella-Forero, Rubén
Format: Article
Language:English
Subjects:
Mathematics
Polynomials
Online Access:Get full text
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Summary: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.
ISSN:0034-7426
2357-4100
DOI:10.15446/recolma.v49n2.60443