Analytical Solution to the Generalized Complex Duffing Equation.

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Future scientifc and technological evolution in many areas of applied mathematics and modern physics will necessarily depend on dealing with complex systems. Such systems are complex in both their composition and behavior, namely, dealing with complex dynamical systems using diferent types of Dufng...

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Detalles Bibliográficos
Autores: Salas S., Alvaro H., Cieza Altamirano, Gilder, Martínez H, Lorenzo J.
Formato: artículo
Fecha de Publicación:2022
Institución:Universidad Nacional Autónoma de Chota
Repositorio:UNACH-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.unach.edu.pe:20.500.14142/885
Enlace del recurso:https://repositorio.unach.edu.pe/handle/20.500.14142/885
https://doi.org/10.1155/2022/2711466
Nivel de acceso:acceso abierto
Materia:Dynamic systems
https://purl.org/pe-repo/ocde/ford#1.01.00
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dc.title.none.fl_str_mv Analytical Solution to the Generalized Complex Duffing Equation.
title Analytical Solution to the Generalized Complex Duffing Equation.
spellingShingle Analytical Solution to the Generalized Complex Duffing Equation.
Salas S., Alvaro H.
Dynamic systems
https://purl.org/pe-repo/ocde/ford#1.01.00
title_short Analytical Solution to the Generalized Complex Duffing Equation.
title_full Analytical Solution to the Generalized Complex Duffing Equation.
title_fullStr Analytical Solution to the Generalized Complex Duffing Equation.
title_full_unstemmed Analytical Solution to the Generalized Complex Duffing Equation.
title_sort Analytical Solution to the Generalized Complex Duffing Equation.
author Salas S., Alvaro H.
author_facet Salas S., Alvaro H.
Cieza Altamirano, Gilder
Martínez H, Lorenzo J.
author_role author
author2 Cieza Altamirano, Gilder
Martínez H, Lorenzo J.
author2_role author
author
dc.contributor.author.fl_str_mv Salas S., Alvaro H.
Cieza Altamirano, Gilder
Martínez H, Lorenzo J.
dc.subject.none.fl_str_mv Dynamic systems
topic Dynamic systems
https://purl.org/pe-repo/ocde/ford#1.01.00
dc.subject.ocde.none.fl_str_mv https://purl.org/pe-repo/ocde/ford#1.01.00
description Future scientifc and technological evolution in many areas of applied mathematics and modern physics will necessarily depend on dealing with complex systems. Such systems are complex in both their composition and behavior, namely, dealing with complex dynamical systems using diferent types of Dufng equations, such as real Dufng equations and complex Dufng equations. In this paper, we derive an analytical solution to a complex Dufng equation. We extend the Krylov–Bogoli´ubov–Mitropolsky method for solving a coupled system of nonlinear oscillators and apply it to solve a generalized form of a complex Dufng equation.
publishDate 2022
dc.date.accessioned.none.fl_str_mv 2025-10-22T14:55:08Z
dc.date.available.none.fl_str_mv 2025-10-22T14:55:08Z
dc.date.issued.fl_str_mv 2022-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.uri.none.fl_str_mv https://repositorio.unach.edu.pe/handle/20.500.14142/885
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1155/2022/2711466
url https://repositorio.unach.edu.pe/handle/20.500.14142/885
https://doi.org/10.1155/2022/2711466
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv The Scientific World Journal
dc.relation.isPartOf.none.fl_str_mv urn:issn: 1537744X; 23566140
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dc.publisher.none.fl_str_mv Hindawi Limited
dc.publisher.country.none.fl_str_mv EG
publisher.none.fl_str_mv Hindawi Limited
dc.source.none.fl_str_mv reponame:UNACH-Institucional
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spelling Salas S., Alvaro H.Cieza Altamirano, GilderMartínez H, Lorenzo J.2025-10-22T14:55:08Z2025-10-22T14:55:08Z2022-11https://repositorio.unach.edu.pe/handle/20.500.14142/885https://doi.org/10.1155/2022/2711466Future scientifc and technological evolution in many areas of applied mathematics and modern physics will necessarily depend on dealing with complex systems. Such systems are complex in both their composition and behavior, namely, dealing with complex dynamical systems using diferent types of Dufng equations, such as real Dufng equations and complex Dufng equations. In this paper, we derive an analytical solution to a complex Dufng equation. We extend the Krylov–Bogoli´ubov–Mitropolsky method for solving a coupled system of nonlinear oscillators and apply it to solve a generalized form of a complex Dufng equation.application/pdfengHindawi LimitedEGThe Scientific World Journalurn:issn: 1537744X; 23566140info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/Dynamic systemshttps://purl.org/pe-repo/ocde/ford#1.01.00Analytical Solution to the Generalized Complex Duffing Equation.info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:UNACH-Institucionalinstname:Universidad Nacional Autónoma de Chotainstacron:UNACHLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.unach.edu.pe/bitstreams/62bac786-f78c-462a-9f64-5673ad62455e/downloadbb9bdc0b3349e4284e09149f943790b4MD51ORIGINALThe Scientific World Journal - 2022 - Salas S - Analytical Solution to the Generalized Complex Duffing Equation.pdfThe Scientific World Journal - 2022 - Salas S - Analytical Solution to the Generalized Complex Duffing Equation.pdfapplication/pdf1376156https://repositorio.unach.edu.pe/bitstreams/ef4d18d9-fea8-404e-967f-29bb74f45e4f/download72d364fd83c01e3c4f4dd24382233827MD51THUMBNAIL89.jpgimage/jpeg222357https://repositorio.unach.edu.pe/bitstreams/dddc6f85-459b-4924-ab05-16dc93893b7f/download95f72f649938ccc1068a8f4fb3933c47MD5220.500.14142/885oai:repositorio.unach.edu.pe:20.500.14142/8852025-10-22 17:30:02.926https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessopen.accesshttps://repositorio.unach.edu.peRepositorio UNACHdspace-help@myu.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Analytical Solution to the Generalized Complex Duffing Equation.
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