Crises in a dissipative bouncing ball model

Detalhes bibliográficos
Autor(a) principal: Livorati, André L.P. [UNESP]
Data de Publicação: 2015
Outros Autores: Caldas, Iberê L., Dettmann, Carl P., 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.physleta.2015.09.016
http://hdl.handle.net/11449/168050
Resumo: The dynamics of a bouncing ball model under the influence of dissipation is investigated by using a two-dimensional nonlinear mapping. When high dissipation is considered, the dynamics evolves to different attractors. The evolution of the basins of the attracting fixed points is characterized, as we vary the control parameters. Crises between the attractors and their boundaries are observed. We found that the multiple attractors are intertwined, and when the boundary crisis between their stable and unstable manifolds occurs, it creates a successive mechanism of destruction for all attractors originated by the sinks. Also, a physical impact crisis is described, an important mechanism in the reduction of the number of attractors.
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spelling Crises in a dissipative bouncing ball modelThe dynamics of a bouncing ball model under the influence of dissipation is investigated by using a two-dimensional nonlinear mapping. When high dissipation is considered, the dynamics evolves to different attractors. The evolution of the basins of the attracting fixed points is characterized, as we vary the control parameters. Crises between the attractors and their boundaries are observed. We found that the multiple attractors are intertwined, and when the boundary crisis between their stable and unstable manifolds occurs, it creates a successive mechanism of destruction for all attractors originated by the sinks. Also, a physical impact crisis is described, an important mechanism in the reduction of the number of attractors.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Departamento de Física, UNESP, Universidade Estadual Paulista, Av. 24A, 1515, Bela VistaSchool of Mathematics, University of BristolInstituto de Física, IFUSP, Universidade de São Paulo, USP, Cidade Universitária, Rua do Matão, Tr.R 187Departamento de Física, UNESP, Universidade Estadual Paulista, Av. 24A, 1515, Bela VistaFAPESP: 2014/25316-3Universidade Estadual Paulista (Unesp)School of Mathematics, University of BristolUniversidade de São Paulo (USP)Livorati, André L.P. [UNESP]Caldas, Iberê L.Dettmann, Carl P.Leonel, Edson D. [UNESP]2018-12-11T16:39:23Z2018-12-11T16:39:23Z2015-11-06info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2830-2838application/pdfhttp://dx.doi.org/10.1016/j.physleta.2015.09.016Physics Letters, Section A: General, Atomic and Solid State Physics, v. 379, n. 43-44, p. 2830-2838, 2015.0375-9601http://hdl.handle.net/11449/16805010.1016/j.physleta.2015.09.0162-s2.0-849428522162-s2.0-84942852216.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysics Letters, Section A: General, Atomic and Solid State Physics0,595info:eu-repo/semantics/openAccess2023-12-17T06:21:20Zoai:repositorio.unesp.br:11449/168050Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:34:36.417632Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Crises in a dissipative bouncing ball model
title Crises in a dissipative bouncing ball model
spellingShingle Crises in a dissipative bouncing ball model
Livorati, André L.P. [UNESP]
title_short Crises in a dissipative bouncing ball model
title_full Crises in a dissipative bouncing ball model
title_fullStr Crises in a dissipative bouncing ball model
title_full_unstemmed Crises in a dissipative bouncing ball model
title_sort Crises in a dissipative bouncing ball model
author Livorati, André L.P. [UNESP]
author_facet Livorati, André L.P. [UNESP]
Caldas, Iberê L.
Dettmann, Carl P.
Leonel, Edson D. [UNESP]
author_role author
author2 Caldas, Iberê L.
Dettmann, Carl P.
Leonel, Edson D. [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
School of Mathematics, University of Bristol
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Livorati, André L.P. [UNESP]
Caldas, Iberê L.
Dettmann, Carl P.
Leonel, Edson D. [UNESP]
description The dynamics of a bouncing ball model under the influence of dissipation is investigated by using a two-dimensional nonlinear mapping. When high dissipation is considered, the dynamics evolves to different attractors. The evolution of the basins of the attracting fixed points is characterized, as we vary the control parameters. Crises between the attractors and their boundaries are observed. We found that the multiple attractors are intertwined, and when the boundary crisis between their stable and unstable manifolds occurs, it creates a successive mechanism of destruction for all attractors originated by the sinks. Also, a physical impact crisis is described, an important mechanism in the reduction of the number of attractors.
publishDate 2015
dc.date.none.fl_str_mv 2015-11-06
2018-12-11T16:39:23Z
2018-12-11T16:39:23Z
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.physleta.2015.09.016
Physics Letters, Section A: General, Atomic and Solid State Physics, v. 379, n. 43-44, p. 2830-2838, 2015.
0375-9601
http://hdl.handle.net/11449/168050
10.1016/j.physleta.2015.09.016
2-s2.0-84942852216
2-s2.0-84942852216.pdf
url http://dx.doi.org/10.1016/j.physleta.2015.09.016
http://hdl.handle.net/11449/168050
identifier_str_mv Physics Letters, Section A: General, Atomic and Solid State Physics, v. 379, n. 43-44, p. 2830-2838, 2015.
0375-9601
10.1016/j.physleta.2015.09.016
2-s2.0-84942852216
2-s2.0-84942852216.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physics Letters, Section A: General, Atomic and Solid State Physics
0,595
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 2830-2838
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
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