Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves
| dc.contributor.author | Llibre, Jaume (  0000-0002-9511-5999 ) | |
| 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.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. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/15341 | |
| 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. | en_US |
| dc.format | Text | |
| dc.format.extent | 19 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Quadratic system | en_US |
| dc.subject | First integrals | en_US |
| dc.subject | Global phase portraits | en_US |
| dc.subject | Invariant hyperbola | en_US |
| dc.subject | Invariant straight line | en_US |
| dc.title | Global phase portraits for quadratic systems with a hyperbola and a straight line as invariant algebraic curves | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. |
