A simplified Fermi Accelerator Model under quadratic frictional force
Autor(a) principal: | |
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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=S0103-97332008000100011 |
Resumo: | Some dynamical properties for a simplified version of a one-dimensional Fermi Accelerator Model under the action of a small dissipation is studied. The dissipation is introduced via a damping force which is assumed to be proportional to the square particle's velocity. The dynamics of the model is described by using a two-dimensional, nonlinear area contracting mapping for the variables velocity of the particle and time. Our results confirm that the structure of the phase space of the conservative version is replaced by a large number of attracting periodic orbits. For a fixed set of control parameters, we obtain many periodic attractors and show that most of them posses low period. The stable orbits produce a complex structure of basin of attraction whose limit cover almost all phase space, thus suggesting a fractality. |
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Brazilian Journal of Physics |
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A simplified Fermi Accelerator Model under quadratic frictional forceFermi Accelerator ModelDamping ForcesFractal Basin BoundarySome dynamical properties for a simplified version of a one-dimensional Fermi Accelerator Model under the action of a small dissipation is studied. The dissipation is introduced via a damping force which is assumed to be proportional to the square particle's velocity. The dynamics of the model is described by using a two-dimensional, nonlinear area contracting mapping for the variables velocity of the particle and time. Our results confirm that the structure of the phase space of the conservative version is replaced by a large number of attracting periodic orbits. For a fixed set of control parameters, we obtain many periodic attractors and show that most of them posses low period. The stable orbits produce a complex structure of basin of attraction whose limit cover almost all phase space, thus suggesting a fractality.Sociedade Brasileira de Física2008-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000100011Brazilian Journal of Physics v.38 n.1 2008reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332008000100011info:eu-repo/semantics/openAccessTavares,Danila F.Leonel,Edson D.eng2008-03-27T00:00:00Zoai:scielo:S0103-97332008000100011Revistahttp://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 |
A simplified Fermi Accelerator Model under quadratic frictional force |
title |
A simplified Fermi Accelerator Model under quadratic frictional force |
spellingShingle |
A simplified Fermi Accelerator Model under quadratic frictional force Tavares,Danila F. Fermi Accelerator Model Damping Forces Fractal Basin Boundary |
title_short |
A simplified Fermi Accelerator Model under quadratic frictional force |
title_full |
A simplified Fermi Accelerator Model under quadratic frictional force |
title_fullStr |
A simplified Fermi Accelerator Model under quadratic frictional force |
title_full_unstemmed |
A simplified Fermi Accelerator Model under quadratic frictional force |
title_sort |
A simplified Fermi Accelerator Model under quadratic frictional force |
author |
Tavares,Danila F. |
author_facet |
Tavares,Danila F. Leonel,Edson D. |
author_role |
author |
author2 |
Leonel,Edson D. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Tavares,Danila F. Leonel,Edson D. |
dc.subject.por.fl_str_mv |
Fermi Accelerator Model Damping Forces Fractal Basin Boundary |
topic |
Fermi Accelerator Model Damping Forces Fractal Basin Boundary |
description |
Some dynamical properties for a simplified version of a one-dimensional Fermi Accelerator Model under the action of a small dissipation is studied. The dissipation is introduced via a damping force which is assumed to be proportional to the square particle's velocity. The dynamics of the model is described by using a two-dimensional, nonlinear area contracting mapping for the variables velocity of the particle and time. Our results confirm that the structure of the phase space of the conservative version is replaced by a large number of attracting periodic orbits. For a fixed set of control parameters, we obtain many periodic attractors and show that most of them posses low period. The stable orbits produce a complex structure of basin of attraction whose limit cover almost all phase space, thus suggesting a fractality. |
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=S0103-97332008000100011 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332008000100011 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0103-97332008000100011 |
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_ |
1754734864426336256 |