Chaos suppression instigated by a hyperbolic sine nonlinearity in the Chen system

Bibliographic Details
Main Author: Rech P.C.*
Publication Date: 2021
Format: Article
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/001300000kjv7
Download full: https://repositorio.udesc.br/handle/UDESC/3581
Summary: © 2021 World Scientific Publishing Company.This paper proposes a new dynamical system derived from the Chen system. It is designed by replacing the linear term (y-x) in the a equation of the Chen system, by the nonlinear term sinh(y-x). Three cross-sections of the three-dimensional parameter-space of this new system, also called parameter planes, are used in order to investigate numerically the influence of replacing on solutions. It is shown that most of the chaotic solutions in parameter planes of the Chen system are suppressed by replacing, giving rise to periodic solutions. Also, it is shown that most of the unbounded solutions become periodic solutions.
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spelling Chaos suppression instigated by a hyperbolic sine nonlinearity in the Chen system© 2021 World Scientific Publishing Company.This paper proposes a new dynamical system derived from the Chen system. It is designed by replacing the linear term (y-x) in the a equation of the Chen system, by the nonlinear term sinh(y-x). Three cross-sections of the three-dimensional parameter-space of this new system, also called parameter planes, are used in order to investigate numerically the influence of replacing on solutions. It is shown that most of the chaotic solutions in parameter planes of the Chen system are suppressed by replacing, giving rise to periodic solutions. Also, it is shown that most of the unbounded solutions become periodic solutions.2024-12-06T11:28:54Z2021info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0129-183110.1142/S0129183121501333https://repositorio.udesc.br/handle/UDESC/3581ark:/33523/001300000kjv7International Journal of Modern Physics C3210Rech P.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:42:07Zoai:repositorio.udesc.br:UDESC/3581Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:42:07Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Chaos suppression instigated by a hyperbolic sine nonlinearity in the Chen system
title Chaos suppression instigated by a hyperbolic sine nonlinearity in the Chen system
spellingShingle Chaos suppression instigated by a hyperbolic sine nonlinearity in the Chen system
Rech P.C.*
title_short Chaos suppression instigated by a hyperbolic sine nonlinearity in the Chen system
title_full Chaos suppression instigated by a hyperbolic sine nonlinearity in the Chen system
title_fullStr Chaos suppression instigated by a hyperbolic sine nonlinearity in the Chen system
title_full_unstemmed Chaos suppression instigated by a hyperbolic sine nonlinearity in the Chen system
title_sort Chaos suppression instigated by a hyperbolic sine nonlinearity in the Chen system
author Rech P.C.*
author_facet Rech P.C.*
author_role author
dc.contributor.author.fl_str_mv Rech P.C.*
description © 2021 World Scientific Publishing Company.This paper proposes a new dynamical system derived from the Chen system. It is designed by replacing the linear term (y-x) in the a equation of the Chen system, by the nonlinear term sinh(y-x). Three cross-sections of the three-dimensional parameter-space of this new system, also called parameter planes, are used in order to investigate numerically the influence of replacing on solutions. It is shown that most of the chaotic solutions in parameter planes of the Chen system are suppressed by replacing, giving rise to periodic solutions. Also, it is shown that most of the unbounded solutions become periodic solutions.
publishDate 2021
dc.date.none.fl_str_mv 2021
2024-12-06T11:28:54Z
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 0129-1831
10.1142/S0129183121501333
https://repositorio.udesc.br/handle/UDESC/3581
dc.identifier.dark.fl_str_mv ark:/33523/001300000kjv7
identifier_str_mv 0129-1831
10.1142/S0129183121501333
ark:/33523/001300000kjv7
url https://repositorio.udesc.br/handle/UDESC/3581
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Modern Physics C
32
10
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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
_version_ 1842258142383046656

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