Duffing Oscillator and Recurrence Network
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s13538-022-01210-8 http://hdl.handle.net/11449/246106 |
Resumo: | New techniques for analyzing nonlinear and complex systems continue to be developed in order to better characterize such systems. In this study, use is made of numerical series that are generated by an experimental Duffing oscillator. Time series are converted to phase spaces using the reconstruction technique. The characteristics of three signals are compared by analyzing the phase space as networks. The Euclidean distances of the interval between the points in the time series were calculated. Then, by establishing a distance threshold between the points of the network, a proximity matrix was generated using the distances that were below the threshold. Taking into account that the network clusters are delimited by a threshold, a statistical study was performed of the cluster compositions. This explored, principally, the analysis of the shortest path between two points of the network, indicating the differences between the signals and the relevance of the density of points in the phase space in these analyses. |
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Repositório Institucional da UNESP |
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Duffing Oscillator and Recurrence NetworkComplexityDuffing oscillatorElectronic circuitRecurrence networkNew techniques for analyzing nonlinear and complex systems continue to be developed in order to better characterize such systems. In this study, use is made of numerical series that are generated by an experimental Duffing oscillator. Time series are converted to phase spaces using the reconstruction technique. The characteristics of three signals are compared by analyzing the phase space as networks. The Euclidean distances of the interval between the points in the time series were calculated. Then, by establishing a distance threshold between the points of the network, a proximity matrix was generated using the distances that were below the threshold. Taking into account that the network clusters are delimited by a threshold, a statistical study was performed of the cluster compositions. This explored, principally, the analysis of the shortest path between two points of the network, indicating the differences between the signals and the relevance of the density of points in the phase space in these analyses.Faculdade de Engenharia Mecânica Universidade Federal de UberlândiaUNESP-Universidade Estadual PaulistaUniversidade Tecnológica Federal Do ParanáUNESP-Universidade Estadual PaulistaUniversidade Federal de Uberlândia (UFU)Universidade Estadual Paulista (UNESP)Universidade Tecnológica Federal Do ParanáLadeira, GuêniaBalthazar, José-Manoel [UNESP]2023-07-29T12:31:52Z2023-07-29T12:31:52Z2022-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/s13538-022-01210-8Brazilian Journal of Physics, v. 52, n. 6, 2022.1678-44480103-9733http://hdl.handle.net/11449/24610610.1007/s13538-022-01210-82-s2.0-85140098547Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBrazilian Journal of Physicsinfo:eu-repo/semantics/openAccess2023-07-29T12:31:52Zoai:repositorio.unesp.br:11449/246106Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:01:38.886207Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Duffing Oscillator and Recurrence Network |
title |
Duffing Oscillator and Recurrence Network |
spellingShingle |
Duffing Oscillator and Recurrence Network Ladeira, Guênia Complexity Duffing oscillator Electronic circuit Recurrence network |
title_short |
Duffing Oscillator and Recurrence Network |
title_full |
Duffing Oscillator and Recurrence Network |
title_fullStr |
Duffing Oscillator and Recurrence Network |
title_full_unstemmed |
Duffing Oscillator and Recurrence Network |
title_sort |
Duffing Oscillator and Recurrence Network |
author |
Ladeira, Guênia |
author_facet |
Ladeira, Guênia Balthazar, José-Manoel [UNESP] |
author_role |
author |
author2 |
Balthazar, José-Manoel [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Federal de Uberlândia (UFU) Universidade Estadual Paulista (UNESP) Universidade Tecnológica Federal Do Paraná |
dc.contributor.author.fl_str_mv |
Ladeira, Guênia Balthazar, José-Manoel [UNESP] |
dc.subject.por.fl_str_mv |
Complexity Duffing oscillator Electronic circuit Recurrence network |
topic |
Complexity Duffing oscillator Electronic circuit Recurrence network |
description |
New techniques for analyzing nonlinear and complex systems continue to be developed in order to better characterize such systems. In this study, use is made of numerical series that are generated by an experimental Duffing oscillator. Time series are converted to phase spaces using the reconstruction technique. The characteristics of three signals are compared by analyzing the phase space as networks. The Euclidean distances of the interval between the points in the time series were calculated. Then, by establishing a distance threshold between the points of the network, a proximity matrix was generated using the distances that were below the threshold. Taking into account that the network clusters are delimited by a threshold, a statistical study was performed of the cluster compositions. This explored, principally, the analysis of the shortest path between two points of the network, indicating the differences between the signals and the relevance of the density of points in the phase space in these analyses. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-12-01 2023-07-29T12:31:52Z 2023-07-29T12:31:52Z |
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/10.1007/s13538-022-01210-8 Brazilian Journal of Physics, v. 52, n. 6, 2022. 1678-4448 0103-9733 http://hdl.handle.net/11449/246106 10.1007/s13538-022-01210-8 2-s2.0-85140098547 |
url |
http://dx.doi.org/10.1007/s13538-022-01210-8 http://hdl.handle.net/11449/246106 |
identifier_str_mv |
Brazilian Journal of Physics, v. 52, n. 6, 2022. 1678-4448 0103-9733 10.1007/s13538-022-01210-8 2-s2.0-85140098547 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Brazilian Journal of Physics |
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 |
|
_version_ |
1808129384306966528 |