A simplified Fermi Accelerator Model under quadratic frictional force

Detalhes bibliográficos
Autor(a) principal: Tavares, Danila F. [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/S0103-97332008000100011
http://hdl.handle.net/11449/20649
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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spelling 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.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Fundação para o Desenvolvimento da UNESP (FUNDUNESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Universidade Estadual Paulista Departamento de FísicaUniversidade Estadual Paulista Departamento de Estatística, Matemática Aplicada e ComputaçãoUniversidade Estadual Paulista Departamento de FísicaUniversidade Estadual Paulista Departamento de Estatística, Matemática Aplicada e ComputaçãoSociedade Brasileira de FísicaUniversidade Estadual Paulista (Unesp)Tavares, Danila F. [UNESP]Leonel, Edson Denis [UNESP]2013-09-30T20:01:27Z2014-05-20T13:57:59Z2013-09-30T20:01:27Z2014-05-20T13:57:59Z2008-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article58-61application/pdfhttp://dx.doi.org/10.1590/S0103-97332008000100011Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 38, n. 1, p. 58-61, 2008.0103-9733http://hdl.handle.net/11449/2064910.1590/S0103-97332008000100011S0103-97332008000100011WOS:000254521800011S0103-97332008000100011.pdf61306442327186100000-0001-8224-3329SciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBrazilian Journal of Physics1.0820,276info:eu-repo/semantics/openAccess2024-01-18T06:33:58Zoai:repositorio.unesp.br:11449/20649Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:22:41.144499Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)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. [UNESP]
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. [UNESP]
author_facet Tavares, Danila F. [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 Tavares, Danila F. [UNESP]
Leonel, Edson Denis [UNESP]
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
2013-09-30T20:01:27Z
2013-09-30T20:01:27Z
2014-05-20T13:57:59Z
2014-05-20T13:57:59Z
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/S0103-97332008000100011
Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 38, n. 1, p. 58-61, 2008.
0103-9733
http://hdl.handle.net/11449/20649
10.1590/S0103-97332008000100011
S0103-97332008000100011
WOS:000254521800011
S0103-97332008000100011.pdf
6130644232718610
0000-0001-8224-3329
url http://dx.doi.org/10.1590/S0103-97332008000100011
http://hdl.handle.net/11449/20649
identifier_str_mv Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 38, n. 1, p. 58-61, 2008.
0103-9733
10.1590/S0103-97332008000100011
S0103-97332008000100011
WOS:000254521800011
S0103-97332008000100011.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 58-61
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
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