Explicit limit cycles of a family of polynomial differential systems
| dc.contributor.author | Boukoucha, Rachid | |
| dc.date.accessioned | 2022-06-13T17:01:53Z | |
| dc.date.available | 2022-06-13T17:01:53Z | |
| dc.date.issued | 2017-09-13 | |
| dc.description.abstract | We consider the family of polynomial differential systems x' = x + (αy - βx) (αx2 - bxy + αy2)n, y' = y - (βy + αx) (αx2 - bxy + αy2)n, where α, b, ɑ, β are real constants and n is positive integer. We prove that these systems are Liouville integrable. Moreover, we determine sufficient conditions for the existence of an explicit algebraic or non-algebraic limit cycle. Examples exhibiting the applicability of our result are introduced. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Boukoucha, R. (2017). Explicit limit cycles of a family of polynomial differential systems. Electronic Journal of Differential Equations, 2017(217), pp. 1-7. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15911 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Planar polynomial differential system | |
| dc.subject | First integral | |
| dc.subject | Algebraic limit cycles | |
| dc.subject | Non-algebraic limit cycle | |
| dc.title | Explicit limit cycles of a family of polynomial differential systems | |
| dc.type | Article |