Z2-symmetric planar polynomial Hamiltonian systems of degree 3 with nilpotent centers

We provide the normal forms of all $\mathbb{Z}_2$-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 an...

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Bibliographic Details
Main Authors: Fabio Scalco Dias, Jaume Llibre, Claudia Valls
Format: Article
Language:English
Published: Texas State University 2019-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/82/abstr.html