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

Detalhes bibliográficos
Autor(a) principal: Oliveira,Diego F. M.
Data de Publicação: 2008
Outros Autores: Leonel,Edson D.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000100012
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.Sociedade Brasileira de Física2008-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000100012Brazilian Journal of Physics v.38 n.1 2008reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332008000100012info:eu-repo/semantics/openAccessOliveira,Diego F. M.Leonel,Edson D.eng2008-03-27T00:00:00Zoai:scielo:S0103-97332008000100012Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2008-03-27T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)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.
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.
author_facet Oliveira,Diego F. M.
Leonel,Edson D.
author_role author
author2 Leonel,Edson D.
author2_role author
dc.contributor.author.fl_str_mv Oliveira,Diego F. M.
Leonel,Edson D.
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
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000100012
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000100012
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332008000100012
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
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 Brazilian Journal of Physics v.38 n.1 2008
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
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