On the chaotic dynamics of a modified Nosé-Hoover oscillator
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10773/39593 |
Resumo: | This article reports on a study of the two-dimensional parameter space of a generalized time-reversible Nosé-Hoover oscillator. Instead of considering its original form, whose study of the one-dimensional parameter space has recently received new insights, we examine the Nosé-Hoover model slightly modified by using a new parameter ε to introduce a dissipative term to its energizing-damping variable. We use the maximum Lyapunov exponent to numerically characterize the chaotic dynamics of the model, at representative points of the two- dimensional parameter space, treating separately two dynamical regimes resulting from: (i) the effect of lower values of ε and (ii) the effect of higher values of ε. It is shown that, for higher values of the new dissipative parameter ε, the existence of chaotic behavior only prevails for the backwards dynamics. |
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On the chaotic dynamics of a modified Nosé-Hoover oscillatorModified Nosé-Hoover oscillatorNonlinear differential equationsChaotic dynamicsThis article reports on a study of the two-dimensional parameter space of a generalized time-reversible Nosé-Hoover oscillator. Instead of considering its original form, whose study of the one-dimensional parameter space has recently received new insights, we examine the Nosé-Hoover model slightly modified by using a new parameter ε to introduce a dissipative term to its energizing-damping variable. We use the maximum Lyapunov exponent to numerically characterize the chaotic dynamics of the model, at representative points of the two- dimensional parameter space, treating separately two dynamical regimes resulting from: (i) the effect of lower values of ε and (ii) the effect of higher values of ε. It is shown that, for higher values of the new dissipative parameter ε, the existence of chaotic behavior only prevails for the backwards dynamics.Hikari2023-10-23T13:39:59Z2023-01-01T00:00:00Z2023info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/39593eng10.12988/ams.2023.918515Deng, BoDuarte, JorgeJanuário, CristinaMartins, Nunoinfo: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:RCAAP2024-02-22T12:17:34Zoai:ria.ua.pt:10773/39593Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:09:49.067433Repositório 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 |
On the chaotic dynamics of a modified Nosé-Hoover oscillator |
title |
On the chaotic dynamics of a modified Nosé-Hoover oscillator |
spellingShingle |
On the chaotic dynamics of a modified Nosé-Hoover oscillator Deng, Bo Modified Nosé-Hoover oscillator Nonlinear differential equations Chaotic dynamics |
title_short |
On the chaotic dynamics of a modified Nosé-Hoover oscillator |
title_full |
On the chaotic dynamics of a modified Nosé-Hoover oscillator |
title_fullStr |
On the chaotic dynamics of a modified Nosé-Hoover oscillator |
title_full_unstemmed |
On the chaotic dynamics of a modified Nosé-Hoover oscillator |
title_sort |
On the chaotic dynamics of a modified Nosé-Hoover oscillator |
author |
Deng, Bo |
author_facet |
Deng, Bo Duarte, Jorge Januário, Cristina Martins, Nuno |
author_role |
author |
author2 |
Duarte, Jorge Januário, Cristina Martins, Nuno |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Deng, Bo Duarte, Jorge Januário, Cristina Martins, Nuno |
dc.subject.por.fl_str_mv |
Modified Nosé-Hoover oscillator Nonlinear differential equations Chaotic dynamics |
topic |
Modified Nosé-Hoover oscillator Nonlinear differential equations Chaotic dynamics |
description |
This article reports on a study of the two-dimensional parameter space of a generalized time-reversible Nosé-Hoover oscillator. Instead of considering its original form, whose study of the one-dimensional parameter space has recently received new insights, we examine the Nosé-Hoover model slightly modified by using a new parameter ε to introduce a dissipative term to its energizing-damping variable. We use the maximum Lyapunov exponent to numerically characterize the chaotic dynamics of the model, at representative points of the two- dimensional parameter space, treating separately two dynamical regimes resulting from: (i) the effect of lower values of ε and (ii) the effect of higher values of ε. It is shown that, for higher values of the new dissipative parameter ε, the existence of chaotic behavior only prevails for the backwards dynamics. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-10-23T13:39:59Z 2023-01-01T00:00:00Z 2023 |
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://hdl.handle.net/10773/39593 |
url |
http://hdl.handle.net/10773/39593 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.12988/ams.2023.918515 |
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 |
Hikari |
publisher.none.fl_str_mv |
Hikari |
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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1799137748785823744 |