Nonequilibrium probabilistic dynamics of the logistic map at the edge of chaos
Autor(a) principal: | |
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Data de Publicação: | 2002 |
Outros Autores: | , , |
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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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 |
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openAccess |
dc.source.pt_BR.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevLett.89.254103 |
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reponame:Repositório Institucional da UFBA instname:Universidade Federal da Bahia (UFBA) instacron:UFBA |
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Universidade Federal da Bahia (UFBA) |
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