A note on the bifurcation point of a randomized Fibonacci model

Detalhes bibliográficos
Autor(a) principal: Luís, Rafael
Data de Publicação: 2016
Outros Autores: Mendonça, Sandra
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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spelling 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
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dc.publisher.none.fl_str_mv CMSIM
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