Dias, Fabio ScalcoLlibre, JaumeValls, Claudia2021-11-292021-11-292019-06-14Dias, F. S., Llibre, J., & Valls, C. (2019). ℤ2-symmetric planar polynomial Hamiltonian systems of degree 3 with nilpotent centers. <i>Electronic Journal of Differential Equations, 2019</i>(82), pp. 1-29.1072-6691https://hdl.handle.net/10877/14970We 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 Poincare disk of the above systems initiated by Dias, Llibre and Valls [9].Text29 pages1 file (.pdf)enAttribution 4.0 InternationalPolynomial Hamiltonian systemsNilpotent centerPhase portraitPoincare compactificationZ2-symmetricArticle