We characterize the centers of the quasi-homogeneous planar polynomial differential systems of degree three. Such systems do not admit isochronous centers. At most one limit cycle can bifurcate from the periodic orbits of a center of a cubic homogeneous polynomial system using the averaging theory of first order. © 2013 Elsevier Inc.
|Journal||Advances in Mathematics|
|Publication status||Published - 20 Mar 2014|
- Limit cycles
- Quasi-homogeneous polynomial systems