ON INTEGRALS, HAMILTONIAN AND METRIPLECTIC FORMULATIONS OF POLYNOMIAL SYSTEMS IN 3D

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dc.contributor.authorEsen, Ogul
dc.contributor.authorChoudhury, Anindya Ghose
dc.contributor.authorGuha, Partha
dc.date.accessioned2025-10-29T11:09:35Z
dc.date.issued2017
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractThe first integrals of the reduced three-wave interaction problem, the Rabinovich system, the Hindmarsh-Rose model, and the Oregonator model are derived using the method of Darboux polynomials. It is shown that, the reduced three-wave interaction problem, the Rabinovich system, the Hindmarsh-Rose model can be written in a bi-Hamiltonian/ Nambu metriplectic form.
dc.identifier.doi10.2298/TAM161118001E
dc.identifier.endpage34
dc.identifier.issn1450-5584
dc.identifier.issue1
dc.identifier.orcid0000-0002-6766-0287
dc.identifier.scopus2-s2.0-85021763507
dc.identifier.scopusqualityQ4
dc.identifier.startpage15
dc.identifier.urihttps://doi.org/10.2298/TAM161118001E
dc.identifier.urihttps://hdl.handle.net/20.500.14854/5899
dc.identifier.volume44
dc.identifier.wosWOS:000406046300002
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSerbian Soc Mechanics
dc.relation.ispartofTheoretical and Applied Mechanics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectDarboux integrability method
dc.subjectthe reduced three
dc.subjectwave interaction problem
dc.subjectRabinovich system
dc.subjectHindmarsh
dc.subjectRose model
dc.subjectoregonator model
dc.subjectmetriplectic Structure
dc.subjectNambu-Poisson brackets
dc.titleON INTEGRALS, HAMILTONIAN AND METRIPLECTIC FORMULATIONS OF POLYNOMIAL SYSTEMS IN 3D
dc.typeArticle

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