Reversible nilpotent centers with cubic homogeneous nonlinearities

Dukaric, Masa; Giné, Jaume; Llibre, Jaume

doi:https://doi.org/10.1016/j.jmaa.2015.07.049

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Issue date

2016

Author

Dukaric, Masa

Giné, Jaume

Llibre, Jaume

Suggested 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.

Abstract

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.

URI

http://hdl.handle.net/10459.1/58391

DOI

https://doi.org/10.1016/j.jmaa.2015.07.049

Is part of

Journal of Mathematical Analysis and Applications, 2016, vol. 433, núm. 1, p. 305-319

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Except where otherwise noted, this item's license is described as cc-by-nc-nd (c) Elsevier, 2016