Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves
dc.contributor.author | Llibre, Jaume | |
dc.contributor.author | Yu, Jiang | |
dc.date.accessioned | 2022-02-16T18:58:26Z | |
dc.date.available | 2022-02-16T18:58:26Z | |
dc.date.issued | 2018-07-11 | |
dc.description.abstract | In 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.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 19 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Llibre, J., & Yu, J. (2018). Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves. Electronic Journal of Differential Equations, 2018(141), pp. 1-19. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15341 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Quadratic system | |
dc.subject | First integrals | |
dc.subject | Global phase portraits | |
dc.subject | Invariant hyperbola | |
dc.subject | Invariant straight line | |
dc.title | Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves | |
dc.type | Article |