The Feigenbaum's delta for a high dissipative bouncing ball model

Detalhes bibliográficos
Autor(a) principal: Oliveira, Diego F. M. [UNESP]
Data de Publicação: 2008
Outros Autores: Leonel, Edson Denis [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1590/S0103-97332008000100012
http://hdl.handle.net/11449/24857
Resumo: We have studied a dissipative version of a one-dimensional Fermi accelerator model. The dynamics of the model is described in terms of a two-dimensional, nonlinear area-contracting map. The dissipation is introduced via inelastic collisions of the particle with the walls and we consider the dynamics in the regime of high dissipation. For such a regime, the model exhibits a route to chaos known as period doubling and we obtain a constant along the bifurcations so called the Feigenbaum's number delta.
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spelling The Feigenbaum's delta for a high dissipative bouncing ball modelBouncing Ball ModelDissipationLyapunov ExponentFeigenbaum numberWe have studied a dissipative version of a one-dimensional Fermi accelerator model. The dynamics of the model is described in terms of a two-dimensional, nonlinear area-contracting map. The dissipation is introduced via inelastic collisions of the particle with the walls and we consider the dynamics in the regime of high dissipation. For such a regime, the model exhibits a route to chaos known as period doubling and we obtain a constant along the bifurcations so called the Feigenbaum's number delta.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Fundação para o Desenvolvimento da UNESP (FUNDUNESP)Departamento de Estatística, Matemática Aplicada e Computação, Universidade Estadual Paulista, CEP, 13506-900, Rio Claro, SP, BrazilDepartamento de Estatística, Matemática Aplicada e Computação, Universidade Estadual Paulista, CEP, 13506-900, Rio Claro, SP, BrazilSociedade Brasileira de FísicaUniversidade Estadual Paulista (Unesp)Oliveira, Diego F. M. [UNESP]Leonel, Edson Denis [UNESP]2013-09-30T20:01:27Z2014-05-20T14:16:08Z2013-09-30T20:01:27Z2014-05-20T14:16:08Z2008-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article62-64application/pdfhttp://dx.doi.org/10.1590/S0103-97332008000100012Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 38, n. 1, p. 62-64, 2008.0103-9733http://hdl.handle.net/11449/2485710.1590/S0103-97332008000100012S0103-97332008000100012WOS:000254521800012S0103-97332008000100012.pdf61306442327186100000-0001-8224-3329SciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBrazilian Journal of Physics1.0820,276info:eu-repo/semantics/openAccess2023-11-07T06:10:50Zoai:repositorio.unesp.br:11449/24857Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:04:40.226213Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv The Feigenbaum's delta for a high dissipative bouncing ball model
title The Feigenbaum's delta for a high dissipative bouncing ball model
spellingShingle The Feigenbaum's delta for a high dissipative bouncing ball model
Oliveira, Diego F. M. [UNESP]
Bouncing Ball Model
Dissipation
Lyapunov Exponent
Feigenbaum number
title_short The Feigenbaum's delta for a high dissipative bouncing ball model
title_full The Feigenbaum's delta for a high dissipative bouncing ball model
title_fullStr The Feigenbaum's delta for a high dissipative bouncing ball model
title_full_unstemmed The Feigenbaum's delta for a high dissipative bouncing ball model
title_sort The Feigenbaum's delta for a high dissipative bouncing ball model
author Oliveira, Diego F. M. [UNESP]
author_facet Oliveira, Diego F. M. [UNESP]
Leonel, Edson Denis [UNESP]
author_role author
author2 Leonel, Edson Denis [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Oliveira, Diego F. M. [UNESP]
Leonel, Edson Denis [UNESP]
dc.subject.por.fl_str_mv Bouncing Ball Model
Dissipation
Lyapunov Exponent
Feigenbaum number
topic Bouncing Ball Model
Dissipation
Lyapunov Exponent
Feigenbaum number
description We have studied a dissipative version of a one-dimensional Fermi accelerator model. The dynamics of the model is described in terms of a two-dimensional, nonlinear area-contracting map. The dissipation is introduced via inelastic collisions of the particle with the walls and we consider the dynamics in the regime of high dissipation. For such a regime, the model exhibits a route to chaos known as period doubling and we obtain a constant along the bifurcations so called the Feigenbaum's number delta.
publishDate 2008
dc.date.none.fl_str_mv 2008-03-01
2013-09-30T20:01:27Z
2013-09-30T20:01:27Z
2014-05-20T14:16:08Z
2014-05-20T14:16:08Z
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/10.1590/S0103-97332008000100012
Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 38, n. 1, p. 62-64, 2008.
0103-9733
http://hdl.handle.net/11449/24857
10.1590/S0103-97332008000100012
S0103-97332008000100012
WOS:000254521800012
S0103-97332008000100012.pdf
6130644232718610
0000-0001-8224-3329
url http://dx.doi.org/10.1590/S0103-97332008000100012
http://hdl.handle.net/11449/24857
identifier_str_mv Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 38, n. 1, p. 62-64, 2008.
0103-9733
10.1590/S0103-97332008000100012
S0103-97332008000100012
WOS:000254521800012
S0103-97332008000100012.pdf
6130644232718610
0000-0001-8224-3329
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Brazilian Journal of Physics
1.082
0,276
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 62-64
application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv SciELO
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_ 1808128752036610048

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