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dc.contributor.authorBenterki, Rebiha ( Orcid Icon 0000-0001-6745-2747 )
dc.contributor.authorLlibre, Jaume ( Orcid Icon 0000-0002-9511-5999 )
dc.date.accessioned2021-10-15T16:05:25Z
dc.date.available2021-10-15T16:05:25Z
dc.date.issued2019-01-28
dc.identifier.citationBenterki, R., & Llibre, J. (2019). Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4. Electronic Journal of Differential Equations, 2019(15), pp. 1-25.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14658
dc.description.abstractWe classify the phase portraits of quadratic polynomial differential systems having some relevant classic quartic algebraic curves as invariant algebraic curves, i.e. these curves are formed by orbits of the quadratic polynomial differential system. More precisely, we realize 16 different well-known algebraic curves of degree 4 as invariant curves inside the quadratic polynomial differential systems. These realizations produce 31 topologically different phase portraits in the Poincare disc for such quadratic polynomial differential systems.en_US
dc.formatText
dc.format.extent25 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectQuadratic differential systemen_US
dc.subjectPoincare discen_US
dc.subjectInvariant algebraic curveen_US
dc.titlePhase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4en_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.departmentMathematics


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