Superintegrable cases of four-dimensional dynamical systems

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dc.contributor.authorEsen, Ogul
dc.contributor.authorChoudhury, Anindya Ghose
dc.contributor.authorGuha, Partha
dc.contributor.authorGumral, Hasan
dc.date.accessioned2025-10-29T11:13:23Z
dc.date.issued2016
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractDegenerate tri-Hamiltonian structures of the Shivamoggi and generalized Raychaudhuri equations are exhibited. For certain specific values of the parameters, it is shown that hyperchaotic Lu and Qi systems are superintegrable and admit tri-Hamiltonian structures.
dc.description.sponsorshipNational Mathematics Initiative programme at IISC Mathematics Department
dc.description.sponsorshipWe gratefully acknowledge support from Professor G. Rangarajan and the National Mathematics Initiative programme at IISC Mathematics Department, where the work was started. HG thanks Yeditepe University for travel support. Finally, we thank the anonymous referee for pointing out references [3, 20].
dc.identifier.doi10.1134/S1560354716020039
dc.identifier.endpage188
dc.identifier.issn1560-3547
dc.identifier.issn1468-4845
dc.identifier.issue2
dc.identifier.orcid0000-0001-9793-9062
dc.identifier.orcid0000-0002-6766-0287
dc.identifier.scopus2-s2.0-84963761801
dc.identifier.scopusqualityQ1
dc.identifier.startpage175
dc.identifier.urihttps://doi.org/10.1134/S1560354716020039
dc.identifier.urihttps://hdl.handle.net/20.500.14854/6739
dc.identifier.volume21
dc.identifier.wosWOS:000374286800003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMaik Nauka/Interperiodica/Springer
dc.relation.ispartofRegular & Chaotic Dynamics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectfirst integrals
dc.subjectDarboux polynomials
dc.subjectJacobi's last multiplier
dc.subject4D Poisson structures
dc.subjecttri-Hamiltonian structures
dc.subjectShivamoggi equations
dc.subjectgeneralized Raychaudhuri equations
dc.subjectLu system and Qi system
dc.titleSuperintegrable cases of four-dimensional dynamical systems
dc.typeArticle

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