© 2019 Texas State University. We provide the normal forms of all Z2-symmetric planar polynomial Hamiltonian systems of degree 3 having a nilpotent center at the origin. Furthermore, we complete the classification of the global phase portraits in the Poincaré disk of the above systems initiated by Dias, Llibre and Valls .
|Journal||Electronic Journal of Differential Equations|
|Publication status||Published - 1 Jan 2019|
- Nilpotent center
- Phase portrait
- Poincaré compactication
- Polynomial Hamiltonian systems
- Z -symmetric 2