On the chaotic dynamics of a modified Nosé-Hoover oscillator

Detalhes bibliográficos
Autor(a) principal: Deng, Bo
Data de Publicação: 2023
Outros Autores: Duarte, Jorge, Januário, Cristina, Martins, Nuno
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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spelling 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
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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
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dc.publisher.none.fl_str_mv Hikari
publisher.none.fl_str_mv Hikari
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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
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