Multistability and organization of periodicity in a Van der Pol–Duffing oscillator

Bibliographic Details
Main Author: Wiggers V.*
Publication Date: 2017
Other Authors: Rech P.C.*
Format: Article
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/001300000bs79
Download full: https://repositorio.udesc.br/handle/UDESC/6815
Summary: © 2017 Elsevier LtdWe investigate the dynamics of a Van der Pol–Duffing forced oscillator, which is modelled by a five-parameter second order nonautonomous nonlinear ordinary differential equation. Firstly we fix three of these parameters, and investigate the dynamics of this system by varying the other two, namely the amplitude and the angular frequency of the external forcing. We also investigate the existence of different attractors, periodic, quasiperiodic, and chaotic. Finally, we investigate the occurrence of multistability in the considered Van der Pol–Duffing forced oscillator, for some fixed sets of parameters.
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spelling Multistability and organization of periodicity in a Van der Pol–Duffing oscillator© 2017 Elsevier LtdWe investigate the dynamics of a Van der Pol–Duffing forced oscillator, which is modelled by a five-parameter second order nonautonomous nonlinear ordinary differential equation. Firstly we fix three of these parameters, and investigate the dynamics of this system by varying the other two, namely the amplitude and the angular frequency of the external forcing. We also investigate the existence of different attractors, periodic, quasiperiodic, and chaotic. Finally, we investigate the occurrence of multistability in the considered Van der Pol–Duffing forced oscillator, for some fixed sets of parameters.2024-12-06T13:12:12Z2017info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlep. 632 - 6370960-077910.1016/j.chaos.2017.07.021https://repositorio.udesc.br/handle/UDESC/6815ark:/33523/001300000bs79Chaos, Solitons and Fractals103Wiggers V.*Rech P.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:52:08Zoai:repositorio.udesc.br:UDESC/6815Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:52:08Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Multistability and organization of periodicity in a Van der Pol–Duffing oscillator
title Multistability and organization of periodicity in a Van der Pol–Duffing oscillator
spellingShingle Multistability and organization of periodicity in a Van der Pol–Duffing oscillator
Wiggers V.*
title_short Multistability and organization of periodicity in a Van der Pol–Duffing oscillator
title_full Multistability and organization of periodicity in a Van der Pol–Duffing oscillator
title_fullStr Multistability and organization of periodicity in a Van der Pol–Duffing oscillator
title_full_unstemmed Multistability and organization of periodicity in a Van der Pol–Duffing oscillator
title_sort Multistability and organization of periodicity in a Van der Pol–Duffing oscillator
author Wiggers V.*
author_facet Wiggers V.*
Rech P.C.*
author_role author
author2 Rech P.C.*
author2_role author
dc.contributor.author.fl_str_mv Wiggers V.*
Rech P.C.*
description © 2017 Elsevier LtdWe investigate the dynamics of a Van der Pol–Duffing forced oscillator, which is modelled by a five-parameter second order nonautonomous nonlinear ordinary differential equation. Firstly we fix three of these parameters, and investigate the dynamics of this system by varying the other two, namely the amplitude and the angular frequency of the external forcing. We also investigate the existence of different attractors, periodic, quasiperiodic, and chaotic. Finally, we investigate the occurrence of multistability in the considered Van der Pol–Duffing forced oscillator, for some fixed sets of parameters.
publishDate 2017
dc.date.none.fl_str_mv 2017
2024-12-06T13:12:12Z
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 0960-0779
10.1016/j.chaos.2017.07.021
https://repositorio.udesc.br/handle/UDESC/6815
dc.identifier.dark.fl_str_mv ark:/33523/001300000bs79
identifier_str_mv 0960-0779
10.1016/j.chaos.2017.07.021
ark:/33523/001300000bs79
url https://repositorio.udesc.br/handle/UDESC/6815
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Chaos, Solitons and Fractals
103
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv p. 632 - 637
dc.source.none.fl_str_mv reponame:Repositório Institucional da Udesc
instname:Universidade do Estado de Santa Catarina (UDESC)
instacron:UDESC
instname_str Universidade do Estado de Santa Catarina (UDESC)
instacron_str UDESC
institution UDESC
reponame_str Repositório Institucional da Udesc
collection Repositório Institucional da Udesc
repository.name.fl_str_mv Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)
repository.mail.fl_str_mv ri@udesc.br
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