Squared sine logistic map

Detalhes bibliográficos
Autor(a) principal: de Carvalho, R. Egydio [UNESP]
Data de Publicação: 2016
Outros Autores: Leonel, Edson D. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.physa.2016.07.008
http://hdl.handle.net/11449/173283
Resumo: A periodic time perturbation is introduced in the logistic map as an attempt to investigate new scenarios of bifurcations and new mechanisms toward the chaos. With a squared sine perturbation we observe that a point attractor reaches the chaotic attractor without following a cascade of bifurcations. One fixed point of the system presents a new scenario of bifurcations through an infinite sequence of alternating changes of stability. At the bifurcations, the perturbation does not modify the scaling features observed in the convergence toward the stationary state.
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spelling Squared sine logistic mapAttractorBifurcationMulti-stabilityPerturbed logistic mapA periodic time perturbation is introduced in the logistic map as an attempt to investigate new scenarios of bifurcations and new mechanisms toward the chaos. With a squared sine perturbation we observe that a point attractor reaches the chaotic attractor without following a cascade of bifurcations. One fixed point of the system presents a new scenario of bifurcations through an infinite sequence of alternating changes of stability. At the bifurcations, the perturbation does not modify the scaling features observed in the convergence toward the stationary state.Universidade Estadual Paulista-UNESPDepartamento de Física UNESP - Univ. Estadual Paulista, Av.24A, 1515 - Bela Vista–13506-900Universidade Estadual Paulista-UNESPDepartamento de Física UNESP - Univ. Estadual Paulista, Av.24A, 1515 - Bela Vista–13506-900Universidade Estadual Paulista (Unesp)de Carvalho, R. Egydio [UNESP]Leonel, Edson D. [UNESP]2018-12-11T17:04:28Z2018-12-11T17:04:28Z2016-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article37-44application/pdfhttp://dx.doi.org/10.1016/j.physa.2016.07.008Physica A: Statistical Mechanics and its Applications, v. 463, p. 37-44.0378-4371http://hdl.handle.net/11449/17328310.1016/j.physa.2016.07.0082-s2.0-849792398912-s2.0-84979239891.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysica A: Statistical Mechanics and its Applications0,773info:eu-repo/semantics/openAccess2023-11-18T06:18:21Zoai:repositorio.unesp.br:11449/173283Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:06:10.020453Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Squared sine logistic map
title Squared sine logistic map
spellingShingle Squared sine logistic map
de Carvalho, R. Egydio [UNESP]
Attractor
Bifurcation
Multi-stability
Perturbed logistic map
title_short Squared sine logistic map
title_full Squared sine logistic map
title_fullStr Squared sine logistic map
title_full_unstemmed Squared sine logistic map
title_sort Squared sine logistic map
author de Carvalho, R. Egydio [UNESP]
author_facet de Carvalho, R. Egydio [UNESP]
Leonel, Edson D. [UNESP]
author_role author
author2 Leonel, Edson D. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv de Carvalho, R. Egydio [UNESP]
Leonel, Edson D. [UNESP]
dc.subject.por.fl_str_mv Attractor
Bifurcation
Multi-stability
Perturbed logistic map
topic Attractor
Bifurcation
Multi-stability
Perturbed logistic map
description A periodic time perturbation is introduced in the logistic map as an attempt to investigate new scenarios of bifurcations and new mechanisms toward the chaos. With a squared sine perturbation we observe that a point attractor reaches the chaotic attractor without following a cascade of bifurcations. One fixed point of the system presents a new scenario of bifurcations through an infinite sequence of alternating changes of stability. At the bifurcations, the perturbation does not modify the scaling features observed in the convergence toward the stationary state.
publishDate 2016
dc.date.none.fl_str_mv 2016-12-01
2018-12-11T17:04:28Z
2018-12-11T17:04:28Z
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/10.1016/j.physa.2016.07.008
Physica A: Statistical Mechanics and its Applications, v. 463, p. 37-44.
0378-4371
http://hdl.handle.net/11449/173283
10.1016/j.physa.2016.07.008
2-s2.0-84979239891
2-s2.0-84979239891.pdf
url http://dx.doi.org/10.1016/j.physa.2016.07.008
http://hdl.handle.net/11449/173283
identifier_str_mv Physica A: Statistical Mechanics and its Applications, v. 463, p. 37-44.
0378-4371
10.1016/j.physa.2016.07.008
2-s2.0-84979239891
2-s2.0-84979239891.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physica A: Statistical Mechanics and its Applications
0,773
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 37-44
application/pdf
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_ 1808128894248681472

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