Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers

Fabio Scalco Dias, Jaume Llibre and Claudia Valls

Mathematics and Computers in Simulation (MATCOM), 2018, vol. 144, issue C, 60-77

Abstract: We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian planar polynomial vector fields of degree 3 symmetric with respect to the x-axis having a nilpotent center at the origin.

Keywords: Polynomial Hamiltonian systems; Nilpotent center; Phase portrait; Poincaré compactification (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:144:y:2018:i:c:p:60-77

DOI: 10.1016/j.matcom.2017.06.002

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