The Feigenbaum's delta for a high dissipative bouncing ball model
Autor(a) principal: | |
---|---|
Data de Publicação: | 2008 |
Outros Autores: | |
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. |
id |
SBF-2_39aafe77ac67239473b331967941d566 |
---|---|
oai_identifier_str |
oai:scielo:S0103-97332008000100012 |
network_acronym_str |
SBF-2 |
network_name_str |
Brazilian Journal of Physics |
repository_id_str |
|
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 |
_version_ |
1754734864427384832 |