Multistability and Period-Adding in a Four-Dimensional Dynamical System with No Equilibrium Points

Bibliographic Details
Main Author: Daumann C.C.*
Publication Date: 2021
Other Authors: Rech P.C.*
Format: Article
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/001300000md51
Download full: https://repositorio.udesc.br/handle/UDESC/3748
Summary: © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.In this work we investigate the dynamics of a four-parameter four-dimensional nonlinear dynamical system with a hyperbolic cosine nonlinearity, and with no equilibrium points. A suitable cross-section of the four-dimensional parameter-space is used to characterize the occurrence of multistability in this system, as well as to observe the organization of chaos and periodicity. Cross-sections of basins of attraction of hidden chaotic and quasiperiodic coexisting attractors are reported.
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spelling Multistability and Period-Adding in a Four-Dimensional Dynamical System with No Equilibrium Points© 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.In this work we investigate the dynamics of a four-parameter four-dimensional nonlinear dynamical system with a hyperbolic cosine nonlinearity, and with no equilibrium points. A suitable cross-section of the four-dimensional parameter-space is used to characterize the occurrence of multistability in this system, as well as to observe the organization of chaos and periodicity. Cross-sections of basins of attraction of hidden chaotic and quasiperiodic coexisting attractors are reported.2024-12-06T11:32:15Z2021info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2199-579610.1007/s40819-021-01020-7https://repositorio.udesc.br/handle/UDESC/3748ark:/33523/001300000md51International Journal of Applied and Computational Mathematics73Daumann C.C.*Rech P.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:42:37Zoai:repositorio.udesc.br:UDESC/3748Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:42:37Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Multistability and Period-Adding in a Four-Dimensional Dynamical System with No Equilibrium Points
title Multistability and Period-Adding in a Four-Dimensional Dynamical System with No Equilibrium Points
spellingShingle Multistability and Period-Adding in a Four-Dimensional Dynamical System with No Equilibrium Points
Daumann C.C.*
title_short Multistability and Period-Adding in a Four-Dimensional Dynamical System with No Equilibrium Points
title_full Multistability and Period-Adding in a Four-Dimensional Dynamical System with No Equilibrium Points
title_fullStr Multistability and Period-Adding in a Four-Dimensional Dynamical System with No Equilibrium Points
title_full_unstemmed Multistability and Period-Adding in a Four-Dimensional Dynamical System with No Equilibrium Points
title_sort Multistability and Period-Adding in a Four-Dimensional Dynamical System with No Equilibrium Points
author Daumann C.C.*
author_facet Daumann C.C.*
Rech P.C.*
author_role author
author2 Rech P.C.*
author2_role author
dc.contributor.author.fl_str_mv Daumann C.C.*
Rech P.C.*
description © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.In this work we investigate the dynamics of a four-parameter four-dimensional nonlinear dynamical system with a hyperbolic cosine nonlinearity, and with no equilibrium points. A suitable cross-section of the four-dimensional parameter-space is used to characterize the occurrence of multistability in this system, as well as to observe the organization of chaos and periodicity. Cross-sections of basins of attraction of hidden chaotic and quasiperiodic coexisting attractors are reported.
publishDate 2021
dc.date.none.fl_str_mv 2021
2024-12-06T11:32:15Z
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 2199-5796
10.1007/s40819-021-01020-7
https://repositorio.udesc.br/handle/UDESC/3748
dc.identifier.dark.fl_str_mv ark:/33523/001300000md51
identifier_str_mv 2199-5796
10.1007/s40819-021-01020-7
ark:/33523/001300000md51
url https://repositorio.udesc.br/handle/UDESC/3748
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Applied and Computational Mathematics
7
3
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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