Hamiltonian dynamics on matched pairs

Basit Öğe Kaydı
dc.authorid0000-0002-6766-0287
dc.authorid0000-0003-0925-8668
dc.contributor.authorEsen, Oğulen_US
dc.contributor.authorSütlü, Serkanen_US
dc.date.accessioned2016-10-24T21:55:35Z
dc.date.available2016-10-24T21:55:35Z
dc.date.issued2016-11-01
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractThe cotangent bundle of a matched pair Lie group, and its trivialization, are shown to be a matched pair Lie group. The explicit matched pair decomposition on the trivialized bundle is presented. On the trivialized space, the canonical symplectic two-form and the canonical Poisson bracket are explicitly written. Various symplectic and Poisson reductions are perfomed. The Lie–Poisson bracket is derived. As an example, Lie–Poisson equations on (Formula presented.) are obtained.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationEsen, O. & Sütlü, S. S. (2016). Hamiltonian dynamics on matched pairs. International Journal of Geometric Methods in Modern Physics, 13(10), 1-24. doi:10.1142/S0219887816501280en_US
dc.identifier.doi10.1142/S0219887816501280
dc.identifier.endpage24
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue10
dc.identifier.scopus2-s2.0-84984846057
dc.identifier.scopusqualityQ3
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/1140
dc.identifier.urihttp://dx.doi.org/10.1142/S0219887816501280
dc.identifier.volume13
dc.identifier.wosWOS:000387489200012
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorSütlü, Serkan Selçuken_US
dc.institutionauthorid0000-0003-0925-8668
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherWorld Scientific Publishing Coen_US
dc.relation.ispartofInternational Journal of Geometric Methods in Modern Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHamilton’s equationsen_US
dc.subjectLie–Poisson equationsen_US
dc.subjectMatched pairsen_US
dc.subjectReductionen_US
dc.subjectLie-Groupsen_US
dc.subjectHopf-Algebrasen_US
dc.subjectSemidirect productsen_US
dc.subjectCotangent bundleen_US
dc.titleHamiltonian dynamics on matched pairsen_US
dc.typeArticleen_US
dspace.entity.typePublication

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
1140.pdf
Boyut:
349.74 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Publisher's Version
İndir
Lisans paketi
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
license.txt
Boyut:
1.71 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
İndir

Koleksiyon

Makale Koleksiyonu | Matematik Bölümü
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu