Nonequilibrium probabilistic dynamics of the logistic map at the edge of chaos

Detalhes bibliográficos
Autor(a) principal: Borges, Ernesto Pinheiro
Data de Publicação: 2002
Outros Autores: Tsallis, Constantino, Añaños, Garín F. J., Oliveira, Paulo Murilo C. de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFBA
Texto Completo: http://www.repositorio.ufba.br/ri/handle/ri/7385
Resumo: p. 254103-1/4
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spelling Borges, Ernesto PinheiroTsallis, ConstantinoAñaños, Garín F. J.Oliveira, Paulo Murilo C. deBorges, Ernesto PinheiroTsallis, ConstantinoAñaños, Garín F. J.Oliveira, Paulo Murilo C. de2012-12-10T19:27:34Z2012-12-10T19:27:34Z2002-120031-9007http://www.repositorio.ufba.br/ri/handle/ri/7385v. 89, n. 25p. 254103-1/4We consider nonequilibrium probabilistic dynamics in logisticlike maps xt+1=1-a|xt|z, (z>1) at their chaos threshold: We first introduce many initial conditions within one among W≫1 intervals partitioning the phase space and focus on the unique value qsen<1 for which the entropic form Sq≡(1 ∑i=1Wpiq)/(q-1) linearly increases with time. We then verify that Sqsen(t)-Sqsen(∞) vanishes like t-1/[qrel(W)-1] [qrel(W)>1]. We finally exhibit a new finite-size scaling, qrel(∞)-qrel(W)∝W-|qsen|. This establishes quantitatively, for the first time, a long pursued relation between sensitivity to the initial conditions and relaxation, concepts which play central roles in nonextensive statistical mechanics.Submitted by Suelen Reis (suelen_suzane@hotmail.com) on 2012-12-10T19:27:34Z No. of bitstreams: 1 e254103.pdf: 202413 bytes, checksum: 351ddf963b5abdeea91b3ac2c29a9e37 (MD5)Made available in DSpace on 2012-12-10T19:27:34Z (GMT). No. of bitstreams: 1 e254103.pdf: 202413 bytes, checksum: 351ddf963b5abdeea91b3ac2c29a9e37 (MD5) Previous issue date: 2002-12http://dx.doi.org/10.1103/PhysRevLett.89.254103reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBANonequilibrium probabilistic dynamics of the logistic map at the edge of chaosPhysical Review Lettersinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleenginfo:eu-repo/semantics/openAccessORIGINALe254103.pdfe254103.pdfapplication/pdf202413https://repositorio.ufba.br/bitstream/ri/7385/1/e254103.pdf351ddf963b5abdeea91b3ac2c29a9e37MD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/7385/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXTe254103.pdf.txte254103.pdf.txtExtracted texttext/plain20347https://repositorio.ufba.br/bitstream/ri/7385/3/e254103.pdf.txtb8728c06af1704d458d12ba57f6fec52MD53ri/73852022-07-05 14:03:48.59oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:48Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false
dc.title.pt_BR.fl_str_mv Nonequilibrium probabilistic dynamics of the logistic map at the edge of chaos
dc.title.alternative.pt_BR.fl_str_mv Physical Review Letters
title Nonequilibrium probabilistic dynamics of the logistic map at the edge of chaos
spellingShingle Nonequilibrium probabilistic dynamics of the logistic map at the edge of chaos
Borges, Ernesto Pinheiro
title_short Nonequilibrium probabilistic dynamics of the logistic map at the edge of chaos
title_full Nonequilibrium probabilistic dynamics of the logistic map at the edge of chaos
title_fullStr Nonequilibrium probabilistic dynamics of the logistic map at the edge of chaos
title_full_unstemmed Nonequilibrium probabilistic dynamics of the logistic map at the edge of chaos
title_sort Nonequilibrium probabilistic dynamics of the logistic map at the edge of chaos
author Borges, Ernesto Pinheiro
author_facet Borges, Ernesto Pinheiro
Tsallis, Constantino
Añaños, Garín F. J.
Oliveira, Paulo Murilo C. de
author_role author
author2 Tsallis, Constantino
Añaños, Garín F. J.
Oliveira, Paulo Murilo C. de
author2_role author
author
author
dc.contributor.author.fl_str_mv Borges, Ernesto Pinheiro
Tsallis, Constantino
Añaños, Garín F. J.
Oliveira, Paulo Murilo C. de
Borges, Ernesto Pinheiro
Tsallis, Constantino
Añaños, Garín F. J.
Oliveira, Paulo Murilo C. de
description p. 254103-1/4
publishDate 2002
dc.date.issued.fl_str_mv 2002-12
dc.date.accessioned.fl_str_mv 2012-12-10T19:27:34Z
dc.date.available.fl_str_mv 2012-12-10T19:27:34Z
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://www.repositorio.ufba.br/ri/handle/ri/7385
dc.identifier.issn.none.fl_str_mv 0031-9007
dc.identifier.number.pt_BR.fl_str_mv v. 89, n. 25
identifier_str_mv 0031-9007
v. 89, n. 25
url http://www.repositorio.ufba.br/ri/handle/ri/7385
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.pt_BR.fl_str_mv http://dx.doi.org/10.1103/PhysRevLett.89.254103
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
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instname_str Universidade Federal da Bahia (UFBA)
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reponame_str Repositório Institucional da UFBA
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