Reversible nilpotent centers with cubic homogeneous nonlinearities

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Issue date
2016Suggested citation
Dukaric, Masa;
Giné, Jaume;
Llibre, Jaume;
.
(2016)
.
Reversible nilpotent centers with cubic homogeneous nonlinearities.
Journal of Mathematical Analysis and Applications, 2016, vol. 433, núm. 1, p. 305-319.
https://doi.org/10.1016/j.jmaa.2015.07.049.
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We provide 13 non--topological equivalent classes of global phase portraits in the Poincaré disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase portraits of the nilpotent centers with cubic homogeneous nonlinearities.