Bifurcations, relaxation time, and critical exponents in a dissipative or conservative Fermi model
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1063/5.0124411 http://hdl.handle.net/11449/248415 |
Resumo: | We investigated the time evolution for the stationary state at different bifurcations of a dissipative version of the Fermi-Ulam accelerator model. For local bifurcations, as period-doubling bifurcations, the convergence to the inactive state is made using a homogeneous and generalized function at the bifurcation parameter. It leads to a set of three critical exponents that are universal for such bifurcation. Near bifurcation, an exponential decay describes convergence whose relaxation time is characterized by a power law. For global bifurcation, as noticed for a boundary crisis, where a chaotic transient suddenly replaces a chaotic attractor after a tiny change of control parameters, the survival probability is described by an exponential decay whose transient time is given by a power law. |
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Repositório Institucional da UNESP |
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Bifurcations, relaxation time, and critical exponents in a dissipative or conservative Fermi modelWe investigated the time evolution for the stationary state at different bifurcations of a dissipative version of the Fermi-Ulam accelerator model. For local bifurcations, as period-doubling bifurcations, the convergence to the inactive state is made using a homogeneous and generalized function at the bifurcation parameter. It leads to a set of three critical exponents that are universal for such bifurcation. Near bifurcation, an exponential decay describes convergence whose relaxation time is characterized by a power law. For global bifurcation, as noticed for a boundary crisis, where a chaotic transient suddenly replaces a chaotic attractor after a tiny change of control parameters, the survival probability is described by an exponential decay whose transient time is given by a power law.Departamento de Física Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista, Av.24A, 1515 - Bela Vista, SPFacultad de Ciencias Universidad de la República, Igua 4225Departamento de Física Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista, Av.24A, 1515 - Bela Vista, SPUniversidade Estadual Paulista (UNESP)Universidad de la RepúblicaRando, Danilo S. [UNESP]Martí, Arturo C.Leonel, Edson D. [UNESP]2023-07-29T13:43:27Z2023-07-29T13:43:27Z2023-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1063/5.0124411Chaos, v. 33, n. 2, 2023.1089-76821054-1500http://hdl.handle.net/11449/24841510.1063/5.01244112-s2.0-85148851077Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengChaosinfo:eu-repo/semantics/openAccess2023-07-29T13:43:28Zoai:repositorio.unesp.br:11449/248415Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-07-29T13:43:28Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Bifurcations, relaxation time, and critical exponents in a dissipative or conservative Fermi model |
title |
Bifurcations, relaxation time, and critical exponents in a dissipative or conservative Fermi model |
spellingShingle |
Bifurcations, relaxation time, and critical exponents in a dissipative or conservative Fermi model Rando, Danilo S. [UNESP] |
title_short |
Bifurcations, relaxation time, and critical exponents in a dissipative or conservative Fermi model |
title_full |
Bifurcations, relaxation time, and critical exponents in a dissipative or conservative Fermi model |
title_fullStr |
Bifurcations, relaxation time, and critical exponents in a dissipative or conservative Fermi model |
title_full_unstemmed |
Bifurcations, relaxation time, and critical exponents in a dissipative or conservative Fermi model |
title_sort |
Bifurcations, relaxation time, and critical exponents in a dissipative or conservative Fermi model |
author |
Rando, Danilo S. [UNESP] |
author_facet |
Rando, Danilo S. [UNESP] Martí, Arturo C. Leonel, Edson D. [UNESP] |
author_role |
author |
author2 |
Martí, Arturo C. Leonel, Edson D. [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Universidad de la República |
dc.contributor.author.fl_str_mv |
Rando, Danilo S. [UNESP] Martí, Arturo C. Leonel, Edson D. [UNESP] |
description |
We investigated the time evolution for the stationary state at different bifurcations of a dissipative version of the Fermi-Ulam accelerator model. For local bifurcations, as period-doubling bifurcations, the convergence to the inactive state is made using a homogeneous and generalized function at the bifurcation parameter. It leads to a set of three critical exponents that are universal for such bifurcation. Near bifurcation, an exponential decay describes convergence whose relaxation time is characterized by a power law. For global bifurcation, as noticed for a boundary crisis, where a chaotic transient suddenly replaces a chaotic attractor after a tiny change of control parameters, the survival probability is described by an exponential decay whose transient time is given by a power law. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-07-29T13:43:27Z 2023-07-29T13:43:27Z 2023-02-01 |
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/10.1063/5.0124411 Chaos, v. 33, n. 2, 2023. 1089-7682 1054-1500 http://hdl.handle.net/11449/248415 10.1063/5.0124411 2-s2.0-85148851077 |
url |
http://dx.doi.org/10.1063/5.0124411 http://hdl.handle.net/11449/248415 |
identifier_str_mv |
Chaos, v. 33, n. 2, 2023. 1089-7682 1054-1500 10.1063/5.0124411 2-s2.0-85148851077 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Chaos |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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_ |
1803046589412933632 |