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

Date
2019-06-14
Authors
Dias, Fabio Scalco
Llibre, Jaume
Valls, Claudia
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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 Poincare disk of the above systems initiated by Dias, Llibre and Valls [9].
Description
Keywords
Polynomial Hamiltonian systems, Nilpotent center, Phase portrait, Poincare compactification, Z2-symmetric
Citation
Dias, 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.