Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419921 | Applied Mathematics and Computation | 2016 | 8 Pages |
Abstract
We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of a family of cubic polynomial differential centers when it is perturbed inside the class of all cubic polynomial differential systems. The family considered is the unique family of weight-homogeneous polynomial differential systems of weight-degree 2 with a center. The computations has been done with the help of the algebraic manipulator Mathematica.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J. Llibre, B.D. Lopes, J.R. de Moraes,