Phase Portraits of Stabilized Hamiltonian Systems in Growth Models

Alexander, T. M.; Anastasiia, U. A.; Alexandr, T. A.

doi:10.1063/5.0081701

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Поле DC	Значение	Язык
dc.contributor.author	Alexander, T. M.	en
dc.contributor.author	Anastasiia, U. A.	en
dc.contributor.author	Alexandr, T. A.	en
dc.date.accessioned	2022-10-19T05:19:46Z	-
dc.date.available	2022-10-19T05:19:46Z	-
dc.date.issued	2022	-
dc.identifier.citation	Alexander T. M. Phase Portraits of Stabilized Hamiltonian Systems in Growth Models / T. M. Alexander, U. A. Anastasiia, T. A. Alexandr // AIP Conference Proceedings. — 2022. — Vol. 2425. — 110011.	en
dc.identifier.isbn	9780735441828	-
dc.identifier.issn	0094243X	-
dc.identifier.other	https://www.scopus.com/inward/record.uri?eid=2-s2.0-85128514468&doi=10.1063%2f5.0081701&partnerID=40&md5=77d449b225af33182974a6757520e444	link
dc.identifier.uri	http://elar.urfu.ru/handle/10995/117833	-
dc.description.abstract	The paper investigates a qualitative behavior of solutions of Hamiltonian systems generated by the Pontryagin maximum principle for the optimal control problems at the infinite time horizon. Based on the stabilization procedure, authors show that the only possible portraits are stable focus or saddle. As an example, the resource consumption model is considered. By varying the discount factor in the model, authors demonstrate phase portraits in the corresponding optimal control problem. © 2022 American Institute of Physics Inc.. All rights reserved.	en
dc.description.sponsorship	Simos T.E.Simos T.E.Simos T.E.Simos T.E.Tsitouras C.	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	American Institute of Physics Inc.	en
dc.rights	info:eu-repo/semantics/openAccess	en
dc.source	AIP Conference Proceedings	en
dc.subject	GROWTH MODELS	en
dc.subject	HAMILTONIAN SYSTEMS	en
dc.subject	OPTIMAL CONTROL PROBLEMS	en
dc.subject	PONTRYAGIN MAXIMUM PRINCIPLE	en
dc.title	Phase Portraits of Stabilized Hamiltonian Systems in Growth Models	en
dc.type	Conference Paper	en
dc.type	info:eu-repo/semantics/conferenceObject	en
dc.type	info:eu-repo/semantics/publishedVersion	en
dc.conference.name	International Conference on Numerical Analysis and Applied Mathematics 2020, ICNAAM 2020	en
dc.conference.date	17 September 2020 through 23 September 2020	-
dc.identifier.doi	10.1063/5.0081701	-
dc.identifier.scopus	85128514468	-
local.contributor.employee	Alexander, T.M., Krasovskü Institute of mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, 620990, 16 S. Kovalevskaya street, Yekaterinburg, Russian Federation	en
local.contributor.employee	Anastasiia, U.A., Krasovskü Institute of mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, 620990, 16 S. Kovalevskaya street, Yekaterinburg, Russian Federation	en
local.contributor.employee	Alexandr, T.A., Ural Federal University, 620002, Mira Street, 19, Yekaterinburg, Russian Federation	en
local.volume	2425	-
local.contributor.department	Krasovskü Institute of mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, 620990, 16 S. Kovalevskaya street, Yekaterinburg, Russian Federation	en
local.contributor.department	Ural Federal University, 620002, Mira Street, 19, Yekaterinburg, Russian Federation	en
local.identifier.pure	30107000	-
local.description.order	110011	-
local.identifier.eid	2-s2.0-85128514468	-
Располагается в коллекциях:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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