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dc.contributor.authorTarasyev, A. M.en
dc.contributor.authorUsova, A. A.en
dc.contributor.authorTarasyev, A. A.en
dc.date.accessioned2024-04-05T16:25:25Z-
dc.date.available2024-04-05T16:25:25Z-
dc.date.issued2023-
dc.identifier.citationTarasyev, AM, Usova, AA & Tarasyev, AA 2023, 'Optimisation of Cycling Trends in Hamiltonian Systems of Economic Growth Models', Mathematics, Том. 11, № 11, 2452. https://doi.org/10.3390/math11112452harvard_pure
dc.identifier.citationTarasyev, A. M., Usova, A. A., & Tarasyev, A. A. (2023). Optimisation of Cycling Trends in Hamiltonian Systems of Economic Growth Models. Mathematics, 11(11), [2452]. https://doi.org/10.3390/math11112452apa_pure
dc.identifier.issn2227-7390-
dc.identifier.otherFinal2
dc.identifier.otherAll Open Access, Gold3
dc.identifier.otherhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85161277031&doi=10.3390%2fmath11112452&partnerID=40&md5=48af95090f2f8564f001f89eb85701651
dc.identifier.otherhttps://www.mdpi.com/2227-7390/11/11/2452/pdf?version=1685018055pdf
dc.identifier.urihttp://elar.urfu.ru/handle/10995/130544-
dc.description.abstractThe paper analyses dynamical growth models predicting the cyclic development of investigated economic factors. The provided research deals with an optimal control problem based on the economic growth model with the production function of Cobb–Douglas type. Following the Pontryagin maximum principle, we derived the Hamiltonian system and conducted its qualitative analysis, which reveals conditions for the cyclic behaviour of the optimal solutions around the isolate steady state. Numerical experiments visually illustrated the obtained results by demonstrating a phase portrait corresponding to a steady state of the focal type. © 2023 by the authors.en
dc.description.sponsorshipMinistry of Education and Science of the Russian Federation, Minobrnauka; Russian Science Foundation, RSF: 19-11-00105; Ural Federal University, UrFUen
dc.description.sponsorshipResearch of A.M. Tarasyev and A.A. Usova is supported by the Russian Scientific Foundation, Project No 19-11-00105. https://rscf.ru/en/project/19-11-00105/ (accessed on 3 February 2023). Research of A.A. Tarasyev is supported by the research funding from the Ministry of Science and Higher Education of the Russian Federation (Ural Federal University project within the Priority-2030 Program).en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherMDPIen
dc.relationinfo:eu-repo/grantAgreement/RSF//19-11-00105en
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.rightscc-byother
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/unpaywall
dc.sourceMathematics2
dc.sourceMathematicsen
dc.subjectCYCLIC BEHAVIOURen
dc.subjectDYNAMIC MODELen
dc.subjectECONOMIC GROWTHen
dc.subjectHAMILTONIAN SYSTEMen
dc.subjectNUMERICAL ANALYSISen
dc.subjectOPTIMAL CONTROLen
dc.subjectPONTRYAGIN MAXIMUM PRINCIPLEen
dc.titleOptimisation of Cycling Trends in Hamiltonian Systems of Economic Growth Modelsen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.type|info:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.3390/math11112452-
dc.identifier.scopus85161277031-
local.contributor.employeeTarasyev, A.M., Krasovskii Institute of Mathematics and Mechanics of Ural Branch of Russian Academy of Sciences, 16 S. Kovalevskaya Street, Yekaterinburg, 620990, Russian Federation, Research Laboratory on the Problems of University Development, Research Department, Ural Federal University, 19 Mira Street, Ekaterinburg, 620002, Russian Federationen
local.contributor.employeeUsova, A.A., Krasovskii Institute of Mathematics and Mechanics of Ural Branch of Russian Academy of Sciences, 16 S. Kovalevskaya Street, Yekaterinburg, 620990, Russian Federationen
local.contributor.employeeTarasyev, A.A., Research Laboratory on the Problems of University Development, Research Department, Ural Federal University, 19 Mira Street, Ekaterinburg, 620002, Russian Federationen
local.issue11-
local.volume11-
dc.identifier.wos001006198800001-
local.contributor.departmentKrasovskii Institute of Mathematics and Mechanics of Ural Branch of Russian Academy of Sciences, 16 S. Kovalevskaya Street, Yekaterinburg, 620990, Russian Federationen
local.contributor.departmentResearch Laboratory on the Problems of University Development, Research Department, Ural Federal University, 19 Mira Street, Ekaterinburg, 620002, Russian Federationen
local.identifier.pure40595993-
local.description.order2452-
local.identifier.eid2-s2.0-85161277031-
local.fund.rsf19-11-00105-
local.identifier.wosWOS:001006198800001-
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