Determinism versus predictability in the context of Poincare's work on the restricted 3-body problem
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://ciencia.iscte-iul.pt/id/ci-pub-8882 http://hdl.handle.net/10071/13979 |
Resumo: | It is exposed the Poincare’s work (1880's) in the system defining the restricted 3-body problem which led to the discovery of a special kind of behavior – the dynamical instability. Contrary to the widespread belief that the Deterministic Chaos Theory began with the computational work of Lorenz (1960's), the Poincare's theoretical research was sufficiently clear about the existence of chaotic deterministic behavior. Until the time of Poincare, there was a tacit assumption that the uncertainty in the output does not arise from any randomness in the dynamical laws, since they are completely deterministic, but rather from the lack of the infinite accuracy in the initial conditions. In this paper it is emphasized that the issues of determinism and predictability are distinct. |
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Determinism versus predictability in the context of Poincare's work on the restricted 3-body problemDynamical instabilityChaos theoryDeterminismUnpredictabilityIt is exposed the Poincare’s work (1880's) in the system defining the restricted 3-body problem which led to the discovery of a special kind of behavior – the dynamical instability. Contrary to the widespread belief that the Deterministic Chaos Theory began with the computational work of Lorenz (1960's), the Poincare's theoretical research was sufficiently clear about the existence of chaotic deterministic behavior. Until the time of Poincare, there was a tacit assumption that the uncertainty in the output does not arise from any randomness in the dynamical laws, since they are completely deterministic, but rather from the lack of the infinite accuracy in the initial conditions. In this paper it is emphasized that the issues of determinism and predictability are distinct.SAVAP International2017-07-12T16:14:50Z2012-01-01T00:00:00Z20122017-07-12T16:14:17Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://ciencia.iscte-iul.pt/id/ci-pub-8882http://hdl.handle.net/10071/13979eng2223-9944Laureano, M.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-09T17:37:34Zoai:repositorio.iscte-iul.pt:10071/13979Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:17:09.064685Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Determinism versus predictability in the context of Poincare's work on the restricted 3-body problem |
title |
Determinism versus predictability in the context of Poincare's work on the restricted 3-body problem |
spellingShingle |
Determinism versus predictability in the context of Poincare's work on the restricted 3-body problem Laureano, M. Dynamical instability Chaos theory Determinism Unpredictability |
title_short |
Determinism versus predictability in the context of Poincare's work on the restricted 3-body problem |
title_full |
Determinism versus predictability in the context of Poincare's work on the restricted 3-body problem |
title_fullStr |
Determinism versus predictability in the context of Poincare's work on the restricted 3-body problem |
title_full_unstemmed |
Determinism versus predictability in the context of Poincare's work on the restricted 3-body problem |
title_sort |
Determinism versus predictability in the context of Poincare's work on the restricted 3-body problem |
author |
Laureano, M. |
author_facet |
Laureano, M. |
author_role |
author |
dc.contributor.author.fl_str_mv |
Laureano, M. |
dc.subject.por.fl_str_mv |
Dynamical instability Chaos theory Determinism Unpredictability |
topic |
Dynamical instability Chaos theory Determinism Unpredictability |
description |
It is exposed the Poincare’s work (1880's) in the system defining the restricted 3-body problem which led to the discovery of a special kind of behavior – the dynamical instability. Contrary to the widespread belief that the Deterministic Chaos Theory began with the computational work of Lorenz (1960's), the Poincare's theoretical research was sufficiently clear about the existence of chaotic deterministic behavior. Until the time of Poincare, there was a tacit assumption that the uncertainty in the output does not arise from any randomness in the dynamical laws, since they are completely deterministic, but rather from the lack of the infinite accuracy in the initial conditions. In this paper it is emphasized that the issues of determinism and predictability are distinct. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-01-01T00:00:00Z 2012 2017-07-12T16:14:50Z 2017-07-12T16:14:17Z |
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 |
https://ciencia.iscte-iul.pt/id/ci-pub-8882 http://hdl.handle.net/10071/13979 |
url |
https://ciencia.iscte-iul.pt/id/ci-pub-8882 http://hdl.handle.net/10071/13979 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2223-9944 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
SAVAP International |
publisher.none.fl_str_mv |
SAVAP International |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799134730398990336 |