| dc.contributor.author | Christodoulides, Y. T. | en |
| dc.contributor.author | Damianou, Pantelis A. | en |
| dc.creator | Christodoulides, Y. T. | en |
| dc.creator | Damianou, Pantelis A. | en |
| dc.date.accessioned | 2019-12-02T10:34:24Z | |
| dc.date.available | 2019-12-02T10:34:24Z | |
| dc.date.issued | 2009 | |
| dc.identifier.issn | 1402-9251 | |
| dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56625 | |
| dc.description.abstract | We consider LotkaVolterra systems in three dimensions depending on three real parameters. By using elementary algebraic methods we classify the Darboux polynomials (also known as second integrals) for such systems for various values of the parameters, and give the explicit form of the corresponding cofactors. More precisely, we show that a Darboux polynomial of degree greater than one is reducible. In fact, it is a product of linear Darboux polynomials and first integrals. © 2009 The Author(s). | en |
| dc.source | Journal of Nonlinear Mathematical Physics | en |
| dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-79551660047&doi=10.1142%2fS1402925109000261&partnerID=40&md5=7ccec98711aaca7ca25af1726db8d2bb | |
| dc.subject | Darboux polynomials | en |
| dc.subject | integrability | en |
| dc.subject | LotkaVolterra model | en |
| dc.title | Darboux polynomials for lotkavolterra systems in three dimensions | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.identifier.doi | 10.1142/S1402925109000261 | |
| dc.description.volume | 16 | |
| dc.description.issue | 3 | |
| dc.description.startingpage | 339 | |
| dc.description.endingpage | 354 | |
| dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
| dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
| dc.type.uhtype | Article | en |
| dc.description.notes | <p>Cited By :8</p> | en |
| dc.source.abbreviation | J.Nonlinear Math.Phys. | en |
| dc.contributor.orcid | Damianou, Pantelis A. [0000-0003-3399-9837] | |
| dc.gnosis.orcid | 0000-0003-3399-9837 | |
