Fixed points for cubic coquaternionic maps

Bibliographic Details
Main Author: Falcão, M. I.
Publication Date: 2022
Other Authors: Miranda, Fernando, Severino, Ricardo, Soares, M. J.
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/1822/82862
Summary: This paper deals with the dynamics of a special two-parameter family of coquaternionic cubic maps. By making use of recent results for the zeros of one-sided coquaternionic polynomials, we analytically determine the fixed points of these maps. Some numerical examples illustrating the theory are also presented. The results obtained show an unexpected richness for the dynamics of cubic coquaternionic maps when compared to the already studied dynamics of quadratic maps.
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spelling Fixed points for cubic coquaternionic mapsCoquaternionic polynomialsCoquaternionsFixed pointsIteration of cubic mapsCiências Naturais::MatemáticasScience & TechnologyThis paper deals with the dynamics of a special two-parameter family of coquaternionic cubic maps. By making use of recent results for the zeros of one-sided coquaternionic polynomials, we analytically determine the fixed points of these maps. Some numerical examples illustrating the theory are also presented. The results obtained show an unexpected richness for the dynamics of cubic coquaternionic maps when compared to the already studied dynamics of quadratic maps.FCT - Fundação para a Ciência e a Tecnologia(UIDB/00013/2020, UIDP/00013/2020, UIDB/03182/2020)SpringerUniversidade do MinhoFalcão, M. I.Miranda, FernandoSeverino, RicardoSoares, M. J.20222022-01-01T00:00:00Zconference paperinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/1822/82862eng978-3-031-10535-70302-974310.1007/978-3-031-10536-4_30978-3-031-10536-4https://doi.org/10.1007/978-3-031-10536-4_30info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-11T06:42:45Zoai:repositorium.sdum.uminho.pt:1822/82862Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T16:02:05.103690Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Fixed points for cubic coquaternionic maps
title Fixed points for cubic coquaternionic maps
spellingShingle Fixed points for cubic coquaternionic maps
Falcão, M. I.
Coquaternionic polynomials
Coquaternions
Fixed points
Iteration of cubic maps
Ciências Naturais::Matemáticas
Science & Technology
title_short Fixed points for cubic coquaternionic maps
title_full Fixed points for cubic coquaternionic maps
title_fullStr Fixed points for cubic coquaternionic maps
title_full_unstemmed Fixed points for cubic coquaternionic maps
title_sort Fixed points for cubic coquaternionic maps
author Falcão, M. I.
author_facet Falcão, M. I.
Miranda, Fernando
Severino, Ricardo
Soares, M. J.
author_role author
author2 Miranda, Fernando
Severino, Ricardo
Soares, M. J.
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Falcão, M. I.
Miranda, Fernando
Severino, Ricardo
Soares, M. J.
dc.subject.por.fl_str_mv Coquaternionic polynomials
Coquaternions
Fixed points
Iteration of cubic maps
Ciências Naturais::Matemáticas
Science & Technology
topic Coquaternionic polynomials
Coquaternions
Fixed points
Iteration of cubic maps
Ciências Naturais::Matemáticas
Science & Technology
description This paper deals with the dynamics of a special two-parameter family of coquaternionic cubic maps. By making use of recent results for the zeros of one-sided coquaternionic polynomials, we analytically determine the fixed points of these maps. Some numerical examples illustrating the theory are also presented. The results obtained show an unexpected richness for the dynamics of cubic coquaternionic maps when compared to the already studied dynamics of quadratic maps.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-01-01T00:00:00Z
dc.type.driver.fl_str_mv conference paper
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/1822/82862
url https://hdl.handle.net/1822/82862
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 978-3-031-10535-7
0302-9743
10.1007/978-3-031-10536-4_30
978-3-031-10536-4
https://doi.org/10.1007/978-3-031-10536-4_30
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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