Optimisation of Cycling Trends in Hamiltonian Systems of Economic Growth Models
Электронный научный архив УРФУ
Информация об архиве | Просмотр оригинала| Поле | Значение | |
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Optimisation of Cycling Trends in Hamiltonian Systems of Economic Growth Models
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| Автор |
Tarasyev, A. M.
Usova, A. A. Tarasyev, A. A. |
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| Тематика |
CYCLIC BEHAVIOUR
DYNAMIC MODEL ECONOMIC GROWTH HAMILTONIAN SYSTEM NUMERICAL ANALYSIS OPTIMAL CONTROL PONTRYAGIN MAXIMUM PRINCIPLE |
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| Описание |
The 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.
Ministry of Education and Science of the Russian Federation, Minobrnauka; Russian Science Foundation, RSF: 19-11-00105; Ural Federal University, UrFU Research 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). |
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| Дата |
2024-04-05T16:25:25Z
2024-04-05T16:25:25Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Tarasyev, 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/math11112452
Tarasyev, 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/math11112452 2227-7390 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85161277031&doi=10.3390%2fmath11112452&partnerID=40&md5=48af95090f2f8564f001f89eb8570165 https://www.mdpi.com/2227-7390/11/11/2452/pdf?version=1685018055 http://elar.urfu.ru/handle/10995/130544 10.3390/math11112452 85161277031 001006198800001 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//19-11-00105
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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| Издатель |
MDPI
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| Источник |
Mathematics
Mathematics |
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