Dissipation in the Fermi-Ulam Model
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Tipo de documento: | Capítulo de livro |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/978-981-16-3544-1_7 http://hdl.handle.net/11449/233485 |
Resumo: | We discuss in this chapter some dynamical properties for the Fermi-Ulam model under different dissipative forces. The first type considered is through inelastic collisions that is when the particle has a fractional loss of energy upon collision. We will show that depending on the control parameters, stable and unstable manifolds obtained from the same saddle fixed point cross each other producing a crisis event. Such a crisis destroys the chaotic attractor which is replaced by a chaotic transient. Another type of dissipative force is when the particle crosses a viscous media hence losing energy along its trajectory. Three different types of drag forces will be considered: (i) proportional to the velocity of the particle; (2) proportional to square of the velocity and; (3) proportional to a power of the velocity different from the linear and from the quadratic. |
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Dissipation in the Fermi-Ulam ModelWe discuss in this chapter some dynamical properties for the Fermi-Ulam model under different dissipative forces. The first type considered is through inelastic collisions that is when the particle has a fractional loss of energy upon collision. We will show that depending on the control parameters, stable and unstable manifolds obtained from the same saddle fixed point cross each other producing a crisis event. Such a crisis destroys the chaotic attractor which is replaced by a chaotic transient. Another type of dissipative force is when the particle crosses a viscous media hence losing energy along its trajectory. Three different types of drag forces will be considered: (i) proportional to the velocity of the particle; (2) proportional to square of the velocity and; (3) proportional to a power of the velocity different from the linear and from the quadratic.Departmamento de Física Sao Paulo State UniversityDepartmamento de Física Sao Paulo State UniversityUniversidade Estadual Paulista (UNESP)Leonel, Edson Denis [UNESP]2022-05-01T08:45:05Z2022-05-01T08:45:05Z2021-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookPart93-114http://dx.doi.org/10.1007/978-981-16-3544-1_7Nonlinear Physical Science, p. 93-114.1867-84591867-8440http://hdl.handle.net/11449/23348510.1007/978-981-16-3544-1_72-s2.0-85114312280Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonlinear Physical Scienceinfo:eu-repo/semantics/openAccess2022-05-01T08:45:05Zoai:repositorio.unesp.br:11449/233485Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:30:59.666043Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Dissipation in the Fermi-Ulam Model |
title |
Dissipation in the Fermi-Ulam Model |
spellingShingle |
Dissipation in the Fermi-Ulam Model Leonel, Edson Denis [UNESP] |
title_short |
Dissipation in the Fermi-Ulam Model |
title_full |
Dissipation in the Fermi-Ulam Model |
title_fullStr |
Dissipation in the Fermi-Ulam Model |
title_full_unstemmed |
Dissipation in the Fermi-Ulam Model |
title_sort |
Dissipation in the Fermi-Ulam Model |
author |
Leonel, Edson Denis [UNESP] |
author_facet |
Leonel, Edson Denis [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Leonel, Edson Denis [UNESP] |
description |
We discuss in this chapter some dynamical properties for the Fermi-Ulam model under different dissipative forces. The first type considered is through inelastic collisions that is when the particle has a fractional loss of energy upon collision. We will show that depending on the control parameters, stable and unstable manifolds obtained from the same saddle fixed point cross each other producing a crisis event. Such a crisis destroys the chaotic attractor which is replaced by a chaotic transient. Another type of dissipative force is when the particle crosses a viscous media hence losing energy along its trajectory. Three different types of drag forces will be considered: (i) proportional to the velocity of the particle; (2) proportional to square of the velocity and; (3) proportional to a power of the velocity different from the linear and from the quadratic. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-01-01 2022-05-01T08:45:05Z 2022-05-01T08:45:05Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/bookPart |
format |
bookPart |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/978-981-16-3544-1_7 Nonlinear Physical Science, p. 93-114. 1867-8459 1867-8440 http://hdl.handle.net/11449/233485 10.1007/978-981-16-3544-1_7 2-s2.0-85114312280 |
url |
http://dx.doi.org/10.1007/978-981-16-3544-1_7 http://hdl.handle.net/11449/233485 |
identifier_str_mv |
Nonlinear Physical Science, p. 93-114. 1867-8459 1867-8440 10.1007/978-981-16-3544-1_7 2-s2.0-85114312280 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Nonlinear Physical Science |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
93-114 |
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_ |
1808129213727768576 |