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

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dc.contributor.authorVaranis, M.
dc.contributor.authorOliveira, C.
dc.contributor.authorRibeiro, M. A.
dc.contributor.authorLenz, W. B.
dc.contributor.authorTusset, A. M.
dc.contributor.authorBalthazar, Jose Manoel [UNESP]
dc.contributor.institutionUniversidade Federal da Grande Dourados
dc.contributor.institutionUniversidade Tecnológica Federal Do Paraná-Campus Ponta Grossa
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2023-03-01T20:36:29Z
dc.date.available2023-03-01T20:36:29Z
dc.date.issued2022-01-01
dc.description.abstractIn 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.en
dc.description.affiliationFaculdade de Engenharia Universidade Federal da Grande Dourados, MS
dc.description.affiliationUniversidade Tecnológica Federal Do Paraná-Campus Ponta Grossa
dc.description.affiliationFaculty of Mechanical Engineering of Bauru São Paulo State University, SP
dc.description.affiliationUnespFaculty of Mechanical Engineering of Bauru São Paulo State University, SP
dc.format.extent175-189
dc.identifierhttp://dx.doi.org/10.1007/978-3-030-96603-4_11
dc.identifier.citationMechanisms and Machine Science, v. 116, p. 175-189.
dc.identifier.doi10.1007/978-3-030-96603-4_11
dc.identifier.issn2211-0992
dc.identifier.issn2211-0984
dc.identifier.scopus2-s2.0-85128679331
dc.identifier.urihttp://hdl.handle.net/11449/240870
dc.language.isoeng
dc.relation.ispartofMechanisms and Machine Science
dc.sourceScopus
dc.subjectFractional calculus
dc.subjectNonlinear dynamics
dc.subjectSynchrosqueezing transform
dc.titleOn the Use of Synchrosqueezing Transform for Chaos and Nonlinear Dynamics Analysis in Fractional-Order Systemsen
dc.typeCapítulo de livro
unesp.author.orcid0000-0001-8932-1035[1]
unesp.author.orcid0000-0001-6117-6841[2]
unesp.author.orcid0000-0001-7314-0723[3]
unesp.author.orcid0000-0002-1946-4185[4]
unesp.author.orcid0000-0003-3144-0407[5]
unesp.author.orcid0000-0002-9796-3609[6]
unesp.departmentEngenharia Mecânica - FEBpt

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Bauru - FEB - Faculdade de Engenharia