On the dynamics of a high-order Lorenz-Stenflo system

Bibliographic Details
Main Author: Rech P.C.*
Publication Date: 2016
Format: Article
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/0013000001ppn
Download full: https://repositorio.udesc.br/handle/UDESC/7378
Summary: © 2016 The Royal Swedish Academy of Sciences.Results presented in a recent paper in this journal concerning a continuous-time dynamical system, namely that involving high-order Lorenz-Stenflo equations, are extended in this paper. More specifically, the present paper reports on nonlinear dynamics of a six-variable, four-parameter high-order Lorenz-Stenflo system. Six cross-sections of a four-dimensional parameter-space are considered. By using Lyapunov exponents spectra to characterize the dynamical behavior at each point of each of these plots, it is shown that different regions are allowed, from equilibrium point to chaos regions. It is also shown that hyperchaos is not an allowed behavior in a high-order Lorenz-Stenflo system. In addition, new results reported here are compared with those obtained for the original Lorenz-Stenflo system.
id UDESC-2_e32add675cf0dbc12a880bd9e6a9ea9f
oai_identifier_str oai:repositorio.udesc.br:UDESC/7378
network_acronym_str UDESC-2
network_name_str Repositório Institucional da Udesc
repository_id_str 6391
spelling On the dynamics of a high-order Lorenz-Stenflo system© 2016 The Royal Swedish Academy of Sciences.Results presented in a recent paper in this journal concerning a continuous-time dynamical system, namely that involving high-order Lorenz-Stenflo equations, are extended in this paper. More specifically, the present paper reports on nonlinear dynamics of a six-variable, four-parameter high-order Lorenz-Stenflo system. Six cross-sections of a four-dimensional parameter-space are considered. By using Lyapunov exponents spectra to characterize the dynamical behavior at each point of each of these plots, it is shown that different regions are allowed, from equilibrium point to chaos regions. It is also shown that hyperchaos is not an allowed behavior in a high-order Lorenz-Stenflo system. In addition, new results reported here are compared with those obtained for the original Lorenz-Stenflo system.2024-12-06T13:40:52Z2016info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1402-489610.1088/0031-8949/91/12/125201https://repositorio.udesc.br/handle/UDESC/7378ark:/33523/0013000001ppnPhysica Scripta9112Rech P.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:54:00Zoai:repositorio.udesc.br:UDESC/7378Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:54Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv On the dynamics of a high-order Lorenz-Stenflo system
title On the dynamics of a high-order Lorenz-Stenflo system
spellingShingle On the dynamics of a high-order Lorenz-Stenflo system
Rech P.C.*
title_short On the dynamics of a high-order Lorenz-Stenflo system
title_full On the dynamics of a high-order Lorenz-Stenflo system
title_fullStr On the dynamics of a high-order Lorenz-Stenflo system
title_full_unstemmed On the dynamics of a high-order Lorenz-Stenflo system
title_sort On the dynamics of a high-order Lorenz-Stenflo system
author Rech P.C.*
author_facet Rech P.C.*
author_role author
dc.contributor.author.fl_str_mv Rech P.C.*
description © 2016 The Royal Swedish Academy of Sciences.Results presented in a recent paper in this journal concerning a continuous-time dynamical system, namely that involving high-order Lorenz-Stenflo equations, are extended in this paper. More specifically, the present paper reports on nonlinear dynamics of a six-variable, four-parameter high-order Lorenz-Stenflo system. Six cross-sections of a four-dimensional parameter-space are considered. By using Lyapunov exponents spectra to characterize the dynamical behavior at each point of each of these plots, it is shown that different regions are allowed, from equilibrium point to chaos regions. It is also shown that hyperchaos is not an allowed behavior in a high-order Lorenz-Stenflo system. In addition, new results reported here are compared with those obtained for the original Lorenz-Stenflo system.
publishDate 2016
dc.date.none.fl_str_mv 2016
2024-12-06T13:40:52Z
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 1402-4896
10.1088/0031-8949/91/12/125201
https://repositorio.udesc.br/handle/UDESC/7378
dc.identifier.dark.fl_str_mv ark:/33523/0013000001ppn
identifier_str_mv 1402-4896
10.1088/0031-8949/91/12/125201
ark:/33523/0013000001ppn
url https://repositorio.udesc.br/handle/UDESC/7378
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physica Scripta
91
12
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
_version_ 1842258075373797376

Similar Items