Characterization of hyperchaotic states in the parameter-space of a modified Lorenz system

Bibliographic Details
Main Author: Correia M.J.*
Publication Date: 2011
Other Authors: Rech P.C.*
Format: Conference object
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/0013000005vqd
Download full: https://repositorio.udesc.br/handle/UDESC/9610
Summary: In this paper we report a new four-dimensional autonomous system, constructed from a Lorenz system by introducing an adequate feedback controller to the third equation. We use a numerical method that considers the second largest Lyapunov exponent value as a measure of hyperchaotic motion, to construct a two-dimensional parameter-space color plot for this system. Different levels of hyperchaos are represented in this plot by a continuously changing yellow-red scale. Practical applications of this plot includes, by instance, walking in the parameter-space of hyperchaotic systems along suitable paths. © Published under licence by IOP Publishing Ltd.
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spelling Characterization of hyperchaotic states in the parameter-space of a modified Lorenz systemIn this paper we report a new four-dimensional autonomous system, constructed from a Lorenz system by introducing an adequate feedback controller to the third equation. We use a numerical method that considers the second largest Lyapunov exponent value as a measure of hyperchaotic motion, to construct a two-dimensional parameter-space color plot for this system. Different levels of hyperchaos are represented in this plot by a continuously changing yellow-red scale. Practical applications of this plot includes, by instance, walking in the parameter-space of hyperchaotic systems along suitable paths. © Published under licence by IOP Publishing Ltd.2024-12-06T19:14:38Z2011info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject1742-659610.1088/1742-6596/285/1/012017https://repositorio.udesc.br/handle/UDESC/9610ark:/33523/0013000005vqdJournal of Physics: Conference Series2851Correia M.J.*Rech P.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T21:03:50Zoai:repositorio.udesc.br:UDESC/9610Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T21:03:50Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Characterization of hyperchaotic states in the parameter-space of a modified Lorenz system
title Characterization of hyperchaotic states in the parameter-space of a modified Lorenz system
spellingShingle Characterization of hyperchaotic states in the parameter-space of a modified Lorenz system
Correia M.J.*
title_short Characterization of hyperchaotic states in the parameter-space of a modified Lorenz system
title_full Characterization of hyperchaotic states in the parameter-space of a modified Lorenz system
title_fullStr Characterization of hyperchaotic states in the parameter-space of a modified Lorenz system
title_full_unstemmed Characterization of hyperchaotic states in the parameter-space of a modified Lorenz system
title_sort Characterization of hyperchaotic states in the parameter-space of a modified Lorenz system
author Correia M.J.*
author_facet Correia M.J.*
Rech P.C.*
author_role author
author2 Rech P.C.*
author2_role author
dc.contributor.author.fl_str_mv Correia M.J.*
Rech P.C.*
description In this paper we report a new four-dimensional autonomous system, constructed from a Lorenz system by introducing an adequate feedback controller to the third equation. We use a numerical method that considers the second largest Lyapunov exponent value as a measure of hyperchaotic motion, to construct a two-dimensional parameter-space color plot for this system. Different levels of hyperchaos are represented in this plot by a continuously changing yellow-red scale. Practical applications of this plot includes, by instance, walking in the parameter-space of hyperchaotic systems along suitable paths. © Published under licence by IOP Publishing Ltd.
publishDate 2011
dc.date.none.fl_str_mv 2011
2024-12-06T19:14:38Z
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dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
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dc.identifier.uri.fl_str_mv 1742-6596
10.1088/1742-6596/285/1/012017
https://repositorio.udesc.br/handle/UDESC/9610
dc.identifier.dark.fl_str_mv ark:/33523/0013000005vqd
identifier_str_mv 1742-6596
10.1088/1742-6596/285/1/012017
ark:/33523/0013000005vqd
url https://repositorio.udesc.br/handle/UDESC/9610
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Physics: Conference Series
285
1
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eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:Repositório Institucional da Udesc
instname:Universidade do Estado de Santa Catarina (UDESC)
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instname_str Universidade do Estado de Santa Catarina (UDESC)
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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)
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