A note on the bifurcation point of a randomized Fibonacci model
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.13/3854 |
Resumo: | In a recent paper, a modified randomized Fibonacci model was presented, assuming that the number of direct offsprings of each ancestor is a Bernoulli random variable. In this work a question posted in the referred paper on the modified ran domized Fibonacci model is answered and, in addition, the model is studied from a discrete dynamical system approach. In particular, the local qualitative properties of the unique bifurcation point that emerges in the unit interval in the Randomized Fi bonacci model are presented. The work ends with a study of the long-term behaviour of a multi species ruled by the modified randomized Fibonacci model. |
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A note on the bifurcation point of a randomized Fibonacci modelRandomized Fibonacci modelBernoulli offspringsLocal stabilityBifurcation point.Faculdade de Ciências Exatas e da EngenhariaIn a recent paper, a modified randomized Fibonacci model was presented, assuming that the number of direct offsprings of each ancestor is a Bernoulli random variable. In this work a question posted in the referred paper on the modified ran domized Fibonacci model is answered and, in addition, the model is studied from a discrete dynamical system approach. In particular, the local qualitative properties of the unique bifurcation point that emerges in the unit interval in the Randomized Fi bonacci model are presented. The work ends with a study of the long-term behaviour of a multi species ruled by the modified randomized Fibonacci model.CMSIMDigitUMaLuís, RafaelMendonça, Sandra2021-11-25T15:49:43Z2016-01-01T00:00:00Z2016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.13/3854engLuís, R., & Mendonça, S. (2016). A note on the bifurcation point of a randomized Fibonacci model. Chaotic Modeling and Simulation (CMSIM), 4, 445-458.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2022-09-05T12:56:57Zoai:digituma.uma.pt:10400.13/3854Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T15:07:25.476391Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
A note on the bifurcation point of a randomized Fibonacci model |
title |
A note on the bifurcation point of a randomized Fibonacci model |
spellingShingle |
A note on the bifurcation point of a randomized Fibonacci model Luís, Rafael Randomized Fibonacci model Bernoulli offsprings Local stability Bifurcation point . Faculdade de Ciências Exatas e da Engenharia |
title_short |
A note on the bifurcation point of a randomized Fibonacci model |
title_full |
A note on the bifurcation point of a randomized Fibonacci model |
title_fullStr |
A note on the bifurcation point of a randomized Fibonacci model |
title_full_unstemmed |
A note on the bifurcation point of a randomized Fibonacci model |
title_sort |
A note on the bifurcation point of a randomized Fibonacci model |
author |
Luís, Rafael |
author_facet |
Luís, Rafael Mendonça, Sandra |
author_role |
author |
author2 |
Mendonça, Sandra |
author2_role |
author |
dc.contributor.none.fl_str_mv |
DigitUMa |
dc.contributor.author.fl_str_mv |
Luís, Rafael Mendonça, Sandra |
dc.subject.por.fl_str_mv |
Randomized Fibonacci model Bernoulli offsprings Local stability Bifurcation point . Faculdade de Ciências Exatas e da Engenharia |
topic |
Randomized Fibonacci model Bernoulli offsprings Local stability Bifurcation point . Faculdade de Ciências Exatas e da Engenharia |
description |
In a recent paper, a modified randomized Fibonacci model was presented, assuming that the number of direct offsprings of each ancestor is a Bernoulli random variable. In this work a question posted in the referred paper on the modified ran domized Fibonacci model is answered and, in addition, the model is studied from a discrete dynamical system approach. In particular, the local qualitative properties of the unique bifurcation point that emerges in the unit interval in the Randomized Fi bonacci model are presented. The work ends with a study of the long-term behaviour of a multi species ruled by the modified randomized Fibonacci model. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-01-01T00:00:00Z 2016-01-01T00:00:00Z 2021-11-25T15:49:43Z |
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 |
http://hdl.handle.net/10400.13/3854 |
url |
http://hdl.handle.net/10400.13/3854 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Luís, R., & Mendonça, S. (2016). A note on the bifurcation point of a randomized Fibonacci model. Chaotic Modeling and Simulation (CMSIM), 4, 445-458. |
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 |
CMSIM |
publisher.none.fl_str_mv |
CMSIM |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799129942942810112 |