Coexistence of algebraic and non-algebraic limit cycles for quintic polynomial differential systems
| dc.contributor.author | Bendjeddou, Ahmed | |
| dc.contributor.author | Cheurfa, Rachid | |
| dc.date.accessioned | 2022-04-04T17:59:55Z | |
| dc.date.available | 2022-04-04T17:59:55Z | |
| dc.date.issued | 2017-03-14 | |
| dc.description.abstract | In the work by Gine and Grau [11], a planar differential system of degree nine admitting a nested configuration formed by an algebraic and a non-algebraic limit cycles explicitly given was presented. As an improvement, we obtain by a new method a similar result for a family of quintic polynomial differential systems. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Bendjeddou, A., & Cheurfa, R. (2017). Coexistence of algebraic and non-algebraic limit cycles for quintic polynomial differential systems. <i>Electronic Journal of Differential Equations, 2017</i>(71), pp. 1-7. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15598 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Non-algebraic limit cycle | |
| dc.subject | Invariant curves | |
| dc.subject | Poincare return-map | |
| dc.subject | First integral | |
| dc.subject | Riccati equation | |
| dc.title | Coexistence of algebraic and non-algebraic limit cycles for quintic polynomial differential systems | |
| dc.type | Article |