Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4
| dc.contributor.author | Benterki, Rebiha | |
| dc.contributor.author | Llibre, Jaume | |
| dc.date.accessioned | 2021-10-15T16:05:25Z | |
| dc.date.available | 2021-10-15T16:05:25Z | |
| dc.date.issued | 2019-01-28 | |
| dc.description.abstract | We 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 25 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Benterki, R., & Llibre, J. (2019). Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4. <i>Electronic Journal of Differential Equations, 2019</i>(15), pp. 1-25. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14658 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Quadratic differential system | |
| dc.subject | Poincare disc | |
| dc.subject | Invariant algebraic curve | |
| dc.title | Phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 4 | |
| dc.type | Article |