On the Use of Synchrosqueezing Transform for Chaos and Nonlinear Dynamics Analysis in Fractional-Order Systems

Detalhes bibliográficos
Autor(a) principal: Varanis, M.
Data de Publicação: 2022
Outros Autores: Oliveira, C., Ribeiro, M. A., Lenz, W. B., Tusset, A. M., Balthazar, Jose Manoel [UNESP]
Tipo de documento: Capítulo de livro
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/978-3-030-96603-4_11
http://hdl.handle.net/11449/240870
Resumo: In this paper, the behavior of an electromechanical device for power production is investigated. The device consists of a motor containing an unbalanced mass, which has been coupled with a system containing piezoelectric material that produces an electric current. Thus, the average power produced in the piezoelectric material subjected to the vibrations of the motor and the fractional dynamics of the system will be analyzed. For this analysis, the parameter of the fractional derivative operator and the parameter F for controlling the system are observed. Bifurcation diagrams and time–frequency analysis method based on synchrosqueezing transform are used, and the range of the fractional derivative operator parameter near 1, which modifies the dynamics of the system, is also determined.
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spelling On the Use of Synchrosqueezing Transform for Chaos and Nonlinear Dynamics Analysis in Fractional-Order SystemsFractional calculusNonlinear dynamicsSynchrosqueezing transformIn this paper, the behavior of an electromechanical device for power production is investigated. The device consists of a motor containing an unbalanced mass, which has been coupled with a system containing piezoelectric material that produces an electric current. Thus, the average power produced in the piezoelectric material subjected to the vibrations of the motor and the fractional dynamics of the system will be analyzed. For this analysis, the parameter of the fractional derivative operator and the parameter F for controlling the system are observed. Bifurcation diagrams and time–frequency analysis method based on synchrosqueezing transform are used, and the range of the fractional derivative operator parameter near 1, which modifies the dynamics of the system, is also determined.Faculdade de Engenharia Universidade Federal da Grande Dourados, MSUniversidade Tecnológica Federal Do Paraná-Campus Ponta GrossaFaculty of Mechanical Engineering of Bauru São Paulo State University, SPFaculty of Mechanical Engineering of Bauru São Paulo State University, SPUniversidade Federal da Grande DouradosUniversidade Tecnológica Federal Do Paraná-Campus Ponta GrossaUniversidade Estadual Paulista (UNESP)Varanis, M.Oliveira, C.Ribeiro, M. A.Lenz, W. B.Tusset, A. M.Balthazar, Jose Manoel [UNESP]2023-03-01T20:36:29Z2023-03-01T20:36:29Z2022-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookPart175-189http://dx.doi.org/10.1007/978-3-030-96603-4_11Mechanisms and Machine Science, v. 116, p. 175-189.2211-09922211-0984http://hdl.handle.net/11449/24087010.1007/978-3-030-96603-4_112-s2.0-85128679331Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengMechanisms and Machine Scienceinfo:eu-repo/semantics/openAccess2024-06-28T13:55:09Zoai:repositorio.unesp.br:11449/240870Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:13:00.555167Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On the Use of Synchrosqueezing Transform for Chaos and Nonlinear Dynamics Analysis in Fractional-Order Systems
title On the Use of Synchrosqueezing Transform for Chaos and Nonlinear Dynamics Analysis in Fractional-Order Systems
spellingShingle On the Use of Synchrosqueezing Transform for Chaos and Nonlinear Dynamics Analysis in Fractional-Order Systems
Varanis, M.
Fractional calculus
Nonlinear dynamics
Synchrosqueezing transform
title_short On the Use of Synchrosqueezing Transform for Chaos and Nonlinear Dynamics Analysis in Fractional-Order Systems
title_full On the Use of Synchrosqueezing Transform for Chaos and Nonlinear Dynamics Analysis in Fractional-Order Systems
title_fullStr On the Use of Synchrosqueezing Transform for Chaos and Nonlinear Dynamics Analysis in Fractional-Order Systems
title_full_unstemmed On the Use of Synchrosqueezing Transform for Chaos and Nonlinear Dynamics Analysis in Fractional-Order Systems
title_sort On the Use of Synchrosqueezing Transform for Chaos and Nonlinear Dynamics Analysis in Fractional-Order Systems
author Varanis, M.
author_facet Varanis, M.
Oliveira, C.
Ribeiro, M. A.
Lenz, W. B.
Tusset, A. M.
Balthazar, Jose Manoel [UNESP]
author_role author
author2 Oliveira, C.
Ribeiro, M. A.
Lenz, W. B.
Tusset, A. M.
Balthazar, Jose Manoel [UNESP]
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Universidade Federal da Grande Dourados
Universidade Tecnológica Federal Do Paraná-Campus Ponta Grossa
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Varanis, M.
Oliveira, C.
Ribeiro, M. A.
Lenz, W. B.
Tusset, A. M.
Balthazar, Jose Manoel [UNESP]
dc.subject.por.fl_str_mv Fractional calculus
Nonlinear dynamics
Synchrosqueezing transform
topic Fractional calculus
Nonlinear dynamics
Synchrosqueezing transform
description In this paper, the behavior of an electromechanical device for power production is investigated. The device consists of a motor containing an unbalanced mass, which has been coupled with a system containing piezoelectric material that produces an electric current. Thus, the average power produced in the piezoelectric material subjected to the vibrations of the motor and the fractional dynamics of the system will be analyzed. For this analysis, the parameter of the fractional derivative operator and the parameter F for controlling the system are observed. Bifurcation diagrams and time–frequency analysis method based on synchrosqueezing transform are used, and the range of the fractional derivative operator parameter near 1, which modifies the dynamics of the system, is also determined.
publishDate 2022
dc.date.none.fl_str_mv 2022-01-01
2023-03-01T20:36:29Z
2023-03-01T20:36:29Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/bookPart
format bookPart
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/978-3-030-96603-4_11
Mechanisms and Machine Science, v. 116, p. 175-189.
2211-0992
2211-0984
http://hdl.handle.net/11449/240870
10.1007/978-3-030-96603-4_11
2-s2.0-85128679331
url http://dx.doi.org/10.1007/978-3-030-96603-4_11
http://hdl.handle.net/11449/240870
identifier_str_mv Mechanisms and Machine Science, v. 116, p. 175-189.
2211-0992
2211-0984
10.1007/978-3-030-96603-4_11
2-s2.0-85128679331
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Mechanisms and Machine Science
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 175-189
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808129298403426304

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