© 2015 Elsevier Inc. We provide 13 non-topological equivalent classes of global phase portraits in the Poincaré disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase portraits of the nilpotent centers with cubic homogeneous nonlinearities.
- Cubic polynomial differential systems
- Nilpotent centers
- Phase portrait
- Two dimensional differential systems