Delimitation of hyperchaotic regions in parameter planes of a four-dimensional dynamical system

Bibliographic Details
Main Author: Ramos J.C.*
Publication Date: 2019
Other Authors: Rech P.C.*
Format: Article
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/0013000009665
Download full: https://repositorio.udesc.br/handle/UDESC/5679
Summary: © 2019 L and H Scientific Publishing, LLC.We report results of a numerical investigation on parameter planes of a set of four autonomous first-order nonlinear ordinary differential equations. More specifically, here are reported ten numerically computed parameter plane diagrams for a five-parameter four-dimensional system, where the dynamical behavior of each point is characterized by using the related Lyapunov exponents spectrum. Each of these parameter plane diagrams indicates parameter values for which hyperchaos, chaos, quasiperiodicity, and periodicity may be found, i.e., each of these diagrams shows delimited regions for each of these dynamical behaviors.
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spelling Delimitation of hyperchaotic regions in parameter planes of a four-dimensional dynamical system© 2019 L and H Scientific Publishing, LLC.We report results of a numerical investigation on parameter planes of a set of four autonomous first-order nonlinear ordinary differential equations. More specifically, here are reported ten numerically computed parameter plane diagrams for a five-parameter four-dimensional system, where the dynamical behavior of each point is characterized by using the related Lyapunov exponents spectrum. Each of these parameter plane diagrams indicates parameter values for which hyperchaos, chaos, quasiperiodicity, and periodicity may be found, i.e., each of these diagrams shows delimited regions for each of these dynamical behaviors.2024-12-06T12:39:02Z2019info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlep. 459 - 4652164-641410.5890/DNC.2019.12.009https://repositorio.udesc.br/handle/UDESC/5679ark:/33523/0013000009665Discontinuity, Nonlinearity, and Complexity84Ramos J.C.*Rech P.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:48:28Zoai:repositorio.udesc.br:UDESC/5679Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:48:28Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Delimitation of hyperchaotic regions in parameter planes of a four-dimensional dynamical system
title Delimitation of hyperchaotic regions in parameter planes of a four-dimensional dynamical system
spellingShingle Delimitation of hyperchaotic regions in parameter planes of a four-dimensional dynamical system
Ramos J.C.*
title_short Delimitation of hyperchaotic regions in parameter planes of a four-dimensional dynamical system
title_full Delimitation of hyperchaotic regions in parameter planes of a four-dimensional dynamical system
title_fullStr Delimitation of hyperchaotic regions in parameter planes of a four-dimensional dynamical system
title_full_unstemmed Delimitation of hyperchaotic regions in parameter planes of a four-dimensional dynamical system
title_sort Delimitation of hyperchaotic regions in parameter planes of a four-dimensional dynamical system
author Ramos J.C.*
author_facet Ramos J.C.*
Rech P.C.*
author_role author
author2 Rech P.C.*
author2_role author
dc.contributor.author.fl_str_mv Ramos J.C.*
Rech P.C.*
description © 2019 L and H Scientific Publishing, LLC.We report results of a numerical investigation on parameter planes of a set of four autonomous first-order nonlinear ordinary differential equations. More specifically, here are reported ten numerically computed parameter plane diagrams for a five-parameter four-dimensional system, where the dynamical behavior of each point is characterized by using the related Lyapunov exponents spectrum. Each of these parameter plane diagrams indicates parameter values for which hyperchaos, chaos, quasiperiodicity, and periodicity may be found, i.e., each of these diagrams shows delimited regions for each of these dynamical behaviors.
publishDate 2019
dc.date.none.fl_str_mv 2019
2024-12-06T12:39:02Z
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 2164-6414
10.5890/DNC.2019.12.009
https://repositorio.udesc.br/handle/UDESC/5679
dc.identifier.dark.fl_str_mv ark:/33523/0013000009665
identifier_str_mv 2164-6414
10.5890/DNC.2019.12.009
ark:/33523/0013000009665
url https://repositorio.udesc.br/handle/UDESC/5679
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Discontinuity, Nonlinearity, and Complexity
8
4
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv p. 459 - 465
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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