Harvesting dynamic aspects from a real rational map : the bulb of period 5

Detalhes bibliográficos
Autor(a) principal: Cabral, João
Data de Publicação: 2014
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.3/3248
Resumo: This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge.
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spelling Harvesting dynamic aspects from a real rational map : the bulb of period 5DynamicsReal Rational MapsStabilityFixed PointsBifurcation TheoryMathematicThis journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge.This work is a small, but strong, contribute to understand better the behavior, under iteration, of the Real Rational Map, f(x)=(x²-a)/(x²-b), with 0<b<a<1, with a and b real parameters. So, we show in this work how to choose some suitable regions of the parameter space (a,b), that allows a controlled and efficient study of this kind of maps, using some classical dynamical systems tools as the critical point orbit, Lyapunov exponents and their relation with the bifurcation diagram of the map.Asian Online Journals (www.ajouronline.com)Repositório da Universidade dos AçoresCabral, João2015-01-13T15:57:49Z2014-122014-12-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.3/3248engCabral, J. (2014). "Harvesting Dynamic Aspects from a Real Rational Map: The Bulb of Period 5". «Asia Online Journals: Asian Journal of Fuzzy and Applied Mathematics», 2(6), 209-213. ISSN 2321-564X.2321-564Xinfo: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:RCAAP2022-12-20T14:31:17Zoai:repositorio.uac.pt:10400.3/3248Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:25:52.688915Repositório 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 Harvesting dynamic aspects from a real rational map : the bulb of period 5
title Harvesting dynamic aspects from a real rational map : the bulb of period 5
spellingShingle Harvesting dynamic aspects from a real rational map : the bulb of period 5
Cabral, João
Dynamics
Real Rational Maps
Stability
Fixed Points
Bifurcation Theory
Mathematic
title_short Harvesting dynamic aspects from a real rational map : the bulb of period 5
title_full Harvesting dynamic aspects from a real rational map : the bulb of period 5
title_fullStr Harvesting dynamic aspects from a real rational map : the bulb of period 5
title_full_unstemmed Harvesting dynamic aspects from a real rational map : the bulb of period 5
title_sort Harvesting dynamic aspects from a real rational map : the bulb of period 5
author Cabral, João
author_facet Cabral, João
author_role author
dc.contributor.none.fl_str_mv Repositório da Universidade dos Açores
dc.contributor.author.fl_str_mv Cabral, João
dc.subject.por.fl_str_mv Dynamics
Real Rational Maps
Stability
Fixed Points
Bifurcation Theory
Mathematic
topic Dynamics
Real Rational Maps
Stability
Fixed Points
Bifurcation Theory
Mathematic
description This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge.
publishDate 2014
dc.date.none.fl_str_mv 2014-12
2014-12-01T00:00:00Z
2015-01-13T15:57:49Z
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/10400.3/3248
url http://hdl.handle.net/10400.3/3248
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Cabral, J. (2014). "Harvesting Dynamic Aspects from a Real Rational Map: The Bulb of Period 5". «Asia Online Journals: Asian Journal of Fuzzy and Applied Mathematics», 2(6), 209-213. ISSN 2321-564X.
2321-564X
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 Asian Online Journals (www.ajouronline.com)
publisher.none.fl_str_mv Asian Online Journals (www.ajouronline.com)
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
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