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

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dc.contributor.authorDias, Fabio Scalco
dc.contributor.authorLlibre, Jaume
dc.contributor.authorValls, Claudia
dc.date.accessioned2021-11-29T18:55:32Z
dc.date.available2021-11-29T18:55:32Z
dc.date.issued2019-06-14
dc.description.abstractWe 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].
dc.description.departmentMathematics
dc.formatText
dc.format.extent29 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationDias, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14970
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPolynomial Hamiltonian systems
dc.subjectNilpotent center
dc.subjectPhase portrait
dc.subjectPoincare compactification
dc.subjectZ2-symmetric
dc.titleℤ2-symmetric planar polynomial Hamiltonian systems of degree 3 with nilpotent centers
dc.typeArticle

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