The feigenbaumes δ for a high dissipative bouncing ball model
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1590/S0103-97332008000100013 http://hdl.handle.net/11449/70328 |
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 8. |
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Repositório Institucional da UNESP |
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The feigenbaumes δ for a high dissipative bouncing ball modelBouncing ball modelDissipationFeigenbaum numberLyapunov exponentWe 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 8.Departamento de Estatística, Matemática Aplicada e Computação Universidade Estadual Paulista, CEP, 13506-900, Rio Claro, SPDepartamento de Estatística, Matemática Aplicada e Computação Universidade Estadual Paulista, CEP, 13506-900, Rio Claro, SPUniversidade Estadual Paulista (Unesp)Oliveira, Diego F. M. [UNESP]Leonel, Edson D. [UNESP]2014-05-27T11:22:49Z2014-05-27T11:22:49Z2008-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject62-64application/pdfhttp://dx.doi.org/10.1590/S0103-97332008000100013Brazilian Journal of Physics, v. 38, n. 1, p. 62-64, 2008.0103-9733http://hdl.handle.net/11449/7032810.1590/S0103-97332008000100013S0103-973320080001000132-s2.0-420490831722-s2.0-42049083172.pdf6130644232718610Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBrazilian Journal of Physics1.0820,276info:eu-repo/semantics/openAccess2024-01-22T06:22:12Zoai:repositorio.unesp.br:11449/70328Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:39:47.562392Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
The feigenbaumes δ for a high dissipative bouncing ball model |
title |
The feigenbaumes δ for a high dissipative bouncing ball model |
spellingShingle |
The feigenbaumes δ for a high dissipative bouncing ball model Oliveira, Diego F. M. [UNESP] Bouncing ball model Dissipation Feigenbaum number Lyapunov exponent |
title_short |
The feigenbaumes δ for a high dissipative bouncing ball model |
title_full |
The feigenbaumes δ for a high dissipative bouncing ball model |
title_fullStr |
The feigenbaumes δ for a high dissipative bouncing ball model |
title_full_unstemmed |
The feigenbaumes δ for a high dissipative bouncing ball model |
title_sort |
The feigenbaumes δ for a high dissipative bouncing ball model |
author |
Oliveira, Diego F. M. [UNESP] |
author_facet |
Oliveira, Diego F. M. [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 |
Oliveira, Diego F. M. [UNESP] Leonel, Edson D. [UNESP] |
dc.subject.por.fl_str_mv |
Bouncing ball model Dissipation Feigenbaum number Lyapunov exponent |
topic |
Bouncing ball model Dissipation Feigenbaum number Lyapunov exponent |
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 8. |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008-03-01 2014-05-27T11:22:49Z 2014-05-27T11:22:49Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1590/S0103-97332008000100013 Brazilian Journal of Physics, v. 38, n. 1, p. 62-64, 2008. 0103-9733 http://hdl.handle.net/11449/70328 10.1590/S0103-97332008000100013 S0103-97332008000100013 2-s2.0-42049083172 2-s2.0-42049083172.pdf 6130644232718610 |
url |
http://dx.doi.org/10.1590/S0103-97332008000100013 http://hdl.handle.net/11449/70328 |
identifier_str_mv |
Brazilian Journal of Physics, v. 38, n. 1, p. 62-64, 2008. 0103-9733 10.1590/S0103-97332008000100013 S0103-97332008000100013 2-s2.0-42049083172 2-s2.0-42049083172.pdf 6130644232718610 |
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.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_ |
1808129540440981504 |