Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves

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dc.contributor.authorLlibre, Jaume
dc.contributor.authorYu, Jiang
dc.date.accessioned2022-02-16T18:58:26Z
dc.date.available2022-02-16T18:58:26Z
dc.date.issued2018-07-11
dc.description.abstractIn this article we consider a class of quadratic polynomial differential systems in the plane having a hyperbola and a straight line as invariant algebraic curves, and we classify all its phase portraits. Moreover these systems are integrable and we provide their first integrals.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLlibre, J., & Yu, J. (2018). Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves. <i>Electronic Journal of Differential Equations, 2018</i>(141), pp. 1-19.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15341
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, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectQuadratic system
dc.subjectFirst integrals
dc.subjectGlobal phase portraits
dc.subjectInvariant hyperbola
dc.subjectInvariant straight line
dc.titleGlobal phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves
dc.typeArticle

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