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Title:
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Reversible nilpotent centers with cubic homogeneous nonlinearities
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Author:
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Dukaric, Masa; Giné, Jaume; Llibre, Jaume
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Notes:
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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.
The research for this paper was been done during the three months visit of the firts author at Lleida. She obtained a Slovenian scholarshipfor the Research Cooperation of Doctoral Students Abroad in Year 2013.
The second author is partially supported by a MINECO/ FEDER grant
number MTM2014-53703-P and by an AGAUR (Generalitat de Catalunya)
grant number 2014SGR 1204. The third author is partially supported by a
MINECO/FEDER grant MTM2008-03437 and MTM2013-40998-P, an AGAUR
grant number 2013SGR-568, an ICREA Academia, the grants FP7-PEOPLE-
2012-IRSES 318999 and 316338, FEDER-UNAB-10-4E-378. |
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Subject(s):
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-Two dimensional differential systems
-Nilpotent centers
-Cubic polynomial differential systems
-Phase portrait
-Matemàtica
-Mathematics |
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Rights:
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cc-by-nc-nd (c) Elsevier, 2016
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ca
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Document type:
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Article
Article - Accepted version |
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Published by:
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Elsevier
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