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.
- Limit cycles
- Quasi-homogeneous polynomial systems
Aziz, W., Llibre, J., & Pantazi, C. (2014). Centers of quasi-homogeneous polynomial differential equations of degree three. Advances in Mathematics, 254, 233-250. https://doi.org/10.1016/j.aim.2013.12.006