Chaos control of an atomic force microscopy model in fractional-order
Main Author: | |
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Publication Date: | 2021 |
Other Authors: | , , , |
Format: | Article |
Language: | eng |
Source: | Repositório Institucional da UNESP |
Download full: | http://dx.doi.org/10.1140/epjs/s11734-021-00242-6 http://hdl.handle.net/11449/222047 |
Summary: | In this work, the nonlinear dynamics and control of an atomic force microscopy (AFM) in fractional-order are investigated. Numerical simulations show the existence of chaotic behavior for some regions in the parameter space, whose behavior is characterized using the power spectral density and the 0-1 test. To bring the system from a chaotic state to a periodic one, the nonlinear saturation control (NLSC) and the time-delayed feedback control (TDFC) techniques for the fractional-order systems are applied with and without accounting for the fractional-order. Numerical results show the influence of fractional-order derivative on the dynamics of the AFM system. Due to that, some phenomena arise, which are confirmed through detailed numerical investigations by the 0-1 test. The NLSC and TDFC techniques showed to be efficient in controlling the chaotic behavior of the AFM in fractional-order. |
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Repositório Institucional da UNESP |
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Chaos control of an atomic force microscopy model in fractional-orderIn this work, the nonlinear dynamics and control of an atomic force microscopy (AFM) in fractional-order are investigated. Numerical simulations show the existence of chaotic behavior for some regions in the parameter space, whose behavior is characterized using the power spectral density and the 0-1 test. To bring the system from a chaotic state to a periodic one, the nonlinear saturation control (NLSC) and the time-delayed feedback control (TDFC) techniques for the fractional-order systems are applied with and without accounting for the fractional-order. Numerical results show the influence of fractional-order derivative on the dynamics of the AFM system. Due to that, some phenomena arise, which are confirmed through detailed numerical investigations by the 0-1 test. The NLSC and TDFC techniques showed to be efficient in controlling the chaotic behavior of the AFM in fractional-order.UTFPR Federal University of Technology ParanáUNESP Universidade Estadual Paulista Júlio MesquitaUNESP Universidade Estadual Paulista Júlio MesquitaParanáUniversidade Estadual Paulista (UNESP)Tusset, Angelo M.Balthazar, Jose M. [UNESP]Ribeiro, Mauricio A.Lenz, Wagner B.Rocha, Rodrigo T.2022-04-28T19:42:06Z2022-04-28T19:42:06Z2021-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1140/epjs/s11734-021-00242-6European Physical Journal: Special Topics.1951-64011951-6355http://hdl.handle.net/11449/22204710.1140/epjs/s11734-021-00242-62-s2.0-85111170918Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengEuropean Physical Journal: Special Topicsinfo:eu-repo/semantics/openAccess2022-04-28T19:42:06Zoai:repositorio.unesp.br:11449/222047Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T19:42:06Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Chaos control of an atomic force microscopy model in fractional-order |
title |
Chaos control of an atomic force microscopy model in fractional-order |
spellingShingle |
Chaos control of an atomic force microscopy model in fractional-order Tusset, Angelo M. |
title_short |
Chaos control of an atomic force microscopy model in fractional-order |
title_full |
Chaos control of an atomic force microscopy model in fractional-order |
title_fullStr |
Chaos control of an atomic force microscopy model in fractional-order |
title_full_unstemmed |
Chaos control of an atomic force microscopy model in fractional-order |
title_sort |
Chaos control of an atomic force microscopy model in fractional-order |
author |
Tusset, Angelo M. |
author_facet |
Tusset, Angelo M. Balthazar, Jose M. [UNESP] Ribeiro, Mauricio A. Lenz, Wagner B. Rocha, Rodrigo T. |
author_role |
author |
author2 |
Balthazar, Jose M. [UNESP] Ribeiro, Mauricio A. Lenz, Wagner B. Rocha, Rodrigo T. |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Paraná Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Tusset, Angelo M. Balthazar, Jose M. [UNESP] Ribeiro, Mauricio A. Lenz, Wagner B. Rocha, Rodrigo T. |
description |
In this work, the nonlinear dynamics and control of an atomic force microscopy (AFM) in fractional-order are investigated. Numerical simulations show the existence of chaotic behavior for some regions in the parameter space, whose behavior is characterized using the power spectral density and the 0-1 test. To bring the system from a chaotic state to a periodic one, the nonlinear saturation control (NLSC) and the time-delayed feedback control (TDFC) techniques for the fractional-order systems are applied with and without accounting for the fractional-order. Numerical results show the influence of fractional-order derivative on the dynamics of the AFM system. Due to that, some phenomena arise, which are confirmed through detailed numerical investigations by the 0-1 test. The NLSC and TDFC techniques showed to be efficient in controlling the chaotic behavior of the AFM in fractional-order. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-01-01 2022-04-28T19:42:06Z 2022-04-28T19:42:06Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1140/epjs/s11734-021-00242-6 European Physical Journal: Special Topics. 1951-6401 1951-6355 http://hdl.handle.net/11449/222047 10.1140/epjs/s11734-021-00242-6 2-s2.0-85111170918 |
url |
http://dx.doi.org/10.1140/epjs/s11734-021-00242-6 http://hdl.handle.net/11449/222047 |
identifier_str_mv |
European Physical Journal: Special Topics. 1951-6401 1951-6355 10.1140/epjs/s11734-021-00242-6 2-s2.0-85111170918 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
European Physical Journal: Special Topics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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 |
|
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1797789696429916160 |