Low-dimensional non-linear dynamical systems and generalized entropy
Autor(a) principal: | |
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Data de Publicação: | 1999 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Brazilian Journal of Physics |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331999000100013 |
Resumo: | Low dimensional non-linear maps are prototype models to study the emergence of complex behavior in nature. They may exhibit power-law sensitivity to initial conditions at the edge of chaos which can be naturally formulated within the generalized Tsallis statistics prescription which is characterized by the entropic index q. General scaling arguments provide a direct relation between the entropic index q and the scaling exponents associated with the extremal sets of the multifractal critical attractor. The above result comes in favor of recent conjectures that Tsallis statistics is the natural frame for studying systems with fractal-like structure in the phase-space. Power law sensitivity in high-dimensional dissipative and Hamiltonian systems are also discussed within the present picture. |
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Brazilian Journal of Physics |
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Low-dimensional non-linear dynamical systems and generalized entropyLow dimensional non-linear maps are prototype models to study the emergence of complex behavior in nature. They may exhibit power-law sensitivity to initial conditions at the edge of chaos which can be naturally formulated within the generalized Tsallis statistics prescription which is characterized by the entropic index q. General scaling arguments provide a direct relation between the entropic index q and the scaling exponents associated with the extremal sets of the multifractal critical attractor. The above result comes in favor of recent conjectures that Tsallis statistics is the natural frame for studying systems with fractal-like structure in the phase-space. Power law sensitivity in high-dimensional dissipative and Hamiltonian systems are also discussed within the present picture.Sociedade Brasileira de Física1999-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331999000100013Brazilian Journal of Physics v.29 n.1 1999reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97331999000100013info:eu-repo/semantics/openAccessSilva,Crisógono R. daCruz,Heber R. daLyra,Marcelo L.eng1999-09-17T00:00:00Zoai:scielo:S0103-97331999000100013Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:1999-09-17T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false |
dc.title.none.fl_str_mv |
Low-dimensional non-linear dynamical systems and generalized entropy |
title |
Low-dimensional non-linear dynamical systems and generalized entropy |
spellingShingle |
Low-dimensional non-linear dynamical systems and generalized entropy Silva,Crisógono R. da |
title_short |
Low-dimensional non-linear dynamical systems and generalized entropy |
title_full |
Low-dimensional non-linear dynamical systems and generalized entropy |
title_fullStr |
Low-dimensional non-linear dynamical systems and generalized entropy |
title_full_unstemmed |
Low-dimensional non-linear dynamical systems and generalized entropy |
title_sort |
Low-dimensional non-linear dynamical systems and generalized entropy |
author |
Silva,Crisógono R. da |
author_facet |
Silva,Crisógono R. da Cruz,Heber R. da Lyra,Marcelo L. |
author_role |
author |
author2 |
Cruz,Heber R. da Lyra,Marcelo L. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Silva,Crisógono R. da Cruz,Heber R. da Lyra,Marcelo L. |
description |
Low dimensional non-linear maps are prototype models to study the emergence of complex behavior in nature. They may exhibit power-law sensitivity to initial conditions at the edge of chaos which can be naturally formulated within the generalized Tsallis statistics prescription which is characterized by the entropic index q. General scaling arguments provide a direct relation between the entropic index q and the scaling exponents associated with the extremal sets of the multifractal critical attractor. The above result comes in favor of recent conjectures that Tsallis statistics is the natural frame for studying systems with fractal-like structure in the phase-space. Power law sensitivity in high-dimensional dissipative and Hamiltonian systems are also discussed within the present picture. |
publishDate |
1999 |
dc.date.none.fl_str_mv |
1999-03-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331999000100013 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331999000100013 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0103-97331999000100013 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
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 |
Brazilian Journal of Physics v.29 n.1 1999 reponame:Brazilian Journal of Physics instname:Sociedade Brasileira de Física (SBF) instacron:SBF |
instname_str |
Sociedade Brasileira de Física (SBF) |
instacron_str |
SBF |
institution |
SBF |
reponame_str |
Brazilian Journal of Physics |
collection |
Brazilian Journal of Physics |
repository.name.fl_str_mv |
Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF) |
repository.mail.fl_str_mv |
sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br |
_version_ |
1754734858726277120 |