Quasiperiodicity and Chaos in a Generalized Nosé-Hoover Oscillator

Bibliographic Details
Main Author: Rech P.C.*
Publication Date: 2016
Format: Article
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/0013000003fmd
Download full: https://repositorio.udesc.br/handle/UDESC/7446
Summary: © 2016 World Scientific Publishing Company.This paper reports on an investigation of the two-dimensional parameter-space of a generalized Nosé-Hoover oscillator. It is a mathematical model of a thermostated harmonic oscillator, which consists of a set of three autonomous first-order nonlinear ordinary differential equations. By using Lyapunov exponents to numerically characterize the dynamics of the model at each point of this parameter-space, it is shown that dissipative quasiperiodic structures are present, embedded in a chaotic region. The same parameter-space is also used to confirm the multistability phenomenon in the investigated mathematical model.
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spelling Quasiperiodicity and Chaos in a Generalized Nosé-Hoover Oscillator© 2016 World Scientific Publishing Company.This paper reports on an investigation of the two-dimensional parameter-space of a generalized Nosé-Hoover oscillator. It is a mathematical model of a thermostated harmonic oscillator, which consists of a set of three autonomous first-order nonlinear ordinary differential equations. By using Lyapunov exponents to numerically characterize the dynamics of the model at each point of this parameter-space, it is shown that dissipative quasiperiodic structures are present, embedded in a chaotic region. The same parameter-space is also used to confirm the multistability phenomenon in the investigated mathematical model.2024-12-06T13:42:36Z2016info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0218-127410.1142/S0218127416501704https://repositorio.udesc.br/handle/UDESC/7446ark:/33523/0013000003fmdInternational Journal of Bifurcation and Chaos2610Rech P.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:54:15Zoai:repositorio.udesc.br:UDESC/7446Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:54:15Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Quasiperiodicity and Chaos in a Generalized Nosé-Hoover Oscillator
title Quasiperiodicity and Chaos in a Generalized Nosé-Hoover Oscillator
spellingShingle Quasiperiodicity and Chaos in a Generalized Nosé-Hoover Oscillator
Rech P.C.*
title_short Quasiperiodicity and Chaos in a Generalized Nosé-Hoover Oscillator
title_full Quasiperiodicity and Chaos in a Generalized Nosé-Hoover Oscillator
title_fullStr Quasiperiodicity and Chaos in a Generalized Nosé-Hoover Oscillator
title_full_unstemmed Quasiperiodicity and Chaos in a Generalized Nosé-Hoover Oscillator
title_sort Quasiperiodicity and Chaos in a Generalized Nosé-Hoover Oscillator
author Rech P.C.*
author_facet Rech P.C.*
author_role author
dc.contributor.author.fl_str_mv Rech P.C.*
description © 2016 World Scientific Publishing Company.This paper reports on an investigation of the two-dimensional parameter-space of a generalized Nosé-Hoover oscillator. It is a mathematical model of a thermostated harmonic oscillator, which consists of a set of three autonomous first-order nonlinear ordinary differential equations. By using Lyapunov exponents to numerically characterize the dynamics of the model at each point of this parameter-space, it is shown that dissipative quasiperiodic structures are present, embedded in a chaotic region. The same parameter-space is also used to confirm the multistability phenomenon in the investigated mathematical model.
publishDate 2016
dc.date.none.fl_str_mv 2016
2024-12-06T13:42:36Z
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 0218-1274
10.1142/S0218127416501704
https://repositorio.udesc.br/handle/UDESC/7446
dc.identifier.dark.fl_str_mv ark:/33523/0013000003fmd
identifier_str_mv 0218-1274
10.1142/S0218127416501704
ark:/33523/0013000003fmd
url https://repositorio.udesc.br/handle/UDESC/7446
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Bifurcation and Chaos
26
10
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:Repositório Institucional da Udesc
instname:Universidade do Estado de Santa Catarina (UDESC)
instacron:UDESC
instname_str Universidade do Estado de Santa Catarina (UDESC)
instacron_str UDESC
institution UDESC
reponame_str Repositório Institucional da Udesc
collection Repositório Institucional da Udesc
repository.name.fl_str_mv Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)
repository.mail.fl_str_mv ri@udesc.br
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