dc.contributor.advisor | Damianou, Pantelis | en |
dc.contributor.author | Kouzaris, Stelios | en |
dc.coverage.spatial | Κύπρος | el |
dc.coverage.spatial | Cyprus | en |
dc.creator | Kouzaris, Stelios | en |
dc.date.accessioned | 2012-09-21T07:35:50Z | |
dc.date.accessioned | 2017-08-03T10:33:23Z | |
dc.date.available | 2012-09-21T07:35:50Z | |
dc.date.available | 2017-08-03T10:33:23Z | |
dc.date.issued | 2001 | |
dc.date.submitted | 2001 | |
dc.identifier.uri | https://gnosis.library.ucy.ac.cy/handle/7/39361 | en |
dc.description | Includes bibliography (p. 52-55). | en |
dc.description | Number of sources in the bibliography: 46 | en |
dc.description | Thesis (Ph. D.) -- University of Cyprus, Faculty of Pure and Applied Sciences, Department of Mathematics and Statistics, 2002. | en |
dc.description | The University of Cyprus Library holds the printed form of the thesis. | en |
dc.description.abstract | Η διατριβή χωρίζεται σε δύο μέρη. Στο πρώτο μέρος μελετούμε τα ολοκληρώσιμα συστήματα που κατασκεύαστηκαν από τον Bogoyavlensky το 1988. Αυτά τα συστήματα συνδέονται με
απλές Lie άλγεβρες και γενικεύουν το καλά γνωστό Volterra σύστημα. (...μη διαθέσιμη ηλεκτρονική μορφή της περίληψη στην ελληνική γλώσσα) | el |
dc.description.abstract | Results on the Volterra model which is associated to the simple Lie algebra of type An are extended to the Bogoyavlensky-Volterra systems of type Bn, Cn and Dn. In particular, we find Lax pairs, Hamiltonian and Casimir functions and multi-Hamiltonian structures. We also find Lax pairs for the periodic Bogoyavlensky-Volterra systems. Finally, we investigate the Bogoyavlensky- Toda system of type Dn. For this system we verify that the degrees of the higher Poisson brackets coincide with the exponents of the corresponding Lie group. The areas investigated, include recursion operators, higher Poisson brackets and master symmetries. | en |
dc.format.extent | vi, 55 p. ; 31 cm. | en |
dc.language.iso | eng | en |
dc.publisher | Πανεπιστήμιο Κύπρου, Σχολή Θετικών και Εφαρμοσμένων Επιστημών/ University of Cyprus, Faculty of Pure and Applied Sciences | |
dc.subject.lcsh | Algebra | en |
dc.subject.lcsh | Hamiltonian systems | en |
dc.subject.lcsh | Lattice theory | en |
dc.subject.lcsh | Lie algebras | en |
dc.subject.lcsh | Lie groups | en |
dc.subject.lcsh | Mathematics | en |
dc.subject.lcsh | Volterra equations | en |
dc.title | Multiple Hamiltonian structures for Volterra and Toda Lattices | en |
dc.type | info:eu-repo/semantics/doctoralThesis | en |
dc.contributor.committeemember | Σοφοκλέους, Χριστόδουλος | el |
dc.contributor.committeemember | Σαμίου, Ευαγγελία | el |
dc.contributor.committeemember | Δαμιανού, Παντελής | el |
dc.contributor.committeemember | Μπούντης, Τάσος | el |
dc.contributor.committeemember | Παπαγεωργίου, Βασίλης Π. | el |
dc.contributor.committeemember | Sophocleous, Christodoulos | en |
dc.contributor.committeemember | Samiou, Evangelia | en |
dc.contributor.committeemember | Damianou, Pantelis | en |
dc.contributor.committeemember | Bountis, Tassos | en |
dc.contributor.committeemember | Papageorgiou, Vassilis P. | en |
dc.contributor.department | Πανεπιστήμιο Κύπρου, Σχολή Θετικών και Εφαρμοσμένων Επιστημών, Τμήμα Μαθηματικών και Στατιστικής | el |
dc.contributor.department | University of Cyprus, Faculty of Pure and Applied Sciences, Department of Mathematics and Statistics | en |
dc.identifier.lc | QA431.K68 2002 | en |
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 | Doctoral Thesis | en |
dc.rights.embargodate | 2002 | |
dc.contributor.orcid | Damianou, Pantelis [0000-0003-3399-9837] | |