We classify the global phase portraits in the Poincaré disc of the differential systems x• = -y + xf(x; y); y• = x + yf(x; y), where f(x; y) is a ho-mogeneous polynomial of degree 3. These systems have a uniform isochronous center at the origin. This paper together with the results presented in  com-pletes the classification of the global phase portraits in the Poincaré disc of all quartic polynomial differential systems with a uniform isochronous center at the origin.
|Journal||Discrete and Continuous Dynamical Systems - Series B|
|Publication status||Published - 1 Jan 2016|
- Phase portrait
- Polynomial vector field
- Quartic polynomial differential system
- Uniform isochronous center