Discrete Dynamical Systems: A Brief Survey

Detalhes bibliográficos
Autor(a) principal: Fernandes, S.
Data de Publicação: 2018
Outros Autores: Ramos, C., Thapa, G., Lopes, L., Gracio, C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/25944
https://doi.org/10.3126/jie.v14i1.20067
Resumo: Dynamical system is a mathematical formalization for any fixed rule that is described in time dependent fashion. The time can be measured by either of the number systems - integers, real numbers, complex numbers. A discrete dynamical system is a dynamical system whose state evolves over a state space in discrete time steps according to a fixed rule. This brief survey paper is concerned with the part of the work done by José Sousa Ramos [2] and some of his research students. We present the general theory of discrete dynamical systems and present results from applications to geometry, graph theory and synchronization.
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spelling Discrete Dynamical Systems: A Brief SurveyDynamical systemsIterationSymbolic dynamicsInvariantsConductanceSynchronizationDynamical system is a mathematical formalization for any fixed rule that is described in time dependent fashion. The time can be measured by either of the number systems - integers, real numbers, complex numbers. A discrete dynamical system is a dynamical system whose state evolves over a state space in discrete time steps according to a fixed rule. This brief survey paper is concerned with the part of the work done by José Sousa Ramos [2] and some of his research students. We present the general theory of discrete dynamical systems and present results from applications to geometry, graph theory and synchronization.Institute of Engineering at Tribhuvan University Pulchowk Campus2019-10-16T10:38:59Z2019-10-162018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/25944http://hdl.handle.net/10174/25944https://doi.org/10.3126/jie.v14i1.20067engFernandes, S., Ramos, C., Thapa, G., Lopes, L., & Grácio, C. (2018). Discrete Dynamical Systems: A Brief Survey. Journal of the Institute of Engineering, 14(1), 35-51.171810-338314Journal of the Institute of Engineering1saf@uevora.ptccr@uevora.ptthapagbt@ioe.edu.npluismariolopes@gmail.commgracio@uevora.pt721Fernandes, S.Ramos, C.Thapa, G.Lopes, L.Gracio, C.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:RCAAP2024-01-03T19:17:13Zoai:dspace.uevora.pt:10174/25944Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:15:00.830493Repositório 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 Discrete Dynamical Systems: A Brief Survey
title Discrete Dynamical Systems: A Brief Survey
spellingShingle Discrete Dynamical Systems: A Brief Survey
Fernandes, S.
Dynamical systems
Iteration
Symbolic dynamics
Invariants
Conductance
Synchronization
title_short Discrete Dynamical Systems: A Brief Survey
title_full Discrete Dynamical Systems: A Brief Survey
title_fullStr Discrete Dynamical Systems: A Brief Survey
title_full_unstemmed Discrete Dynamical Systems: A Brief Survey
title_sort Discrete Dynamical Systems: A Brief Survey
author Fernandes, S.
author_facet Fernandes, S.
Ramos, C.
Thapa, G.
Lopes, L.
Gracio, C.
author_role author
author2 Ramos, C.
Thapa, G.
Lopes, L.
Gracio, C.
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Fernandes, S.
Ramos, C.
Thapa, G.
Lopes, L.
Gracio, C.
dc.subject.por.fl_str_mv Dynamical systems
Iteration
Symbolic dynamics
Invariants
Conductance
Synchronization
topic Dynamical systems
Iteration
Symbolic dynamics
Invariants
Conductance
Synchronization
description Dynamical system is a mathematical formalization for any fixed rule that is described in time dependent fashion. The time can be measured by either of the number systems - integers, real numbers, complex numbers. A discrete dynamical system is a dynamical system whose state evolves over a state space in discrete time steps according to a fixed rule. This brief survey paper is concerned with the part of the work done by José Sousa Ramos [2] and some of his research students. We present the general theory of discrete dynamical systems and present results from applications to geometry, graph theory and synchronization.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-01T00:00:00Z
2019-10-16T10:38:59Z
2019-10-16
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/10174/25944
http://hdl.handle.net/10174/25944
https://doi.org/10.3126/jie.v14i1.20067
url http://hdl.handle.net/10174/25944
https://doi.org/10.3126/jie.v14i1.20067
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Fernandes, S., Ramos, C., Thapa, G., Lopes, L., & Grácio, C. (2018). Discrete Dynamical Systems: A Brief Survey. Journal of the Institute of Engineering, 14(1), 35-51.
17
1810-3383
14
Journal of the Institute of Engineering
1
saf@uevora.pt
ccr@uevora.pt
thapagbt@ioe.edu.np
luismariolopes@gmail.com
mgracio@uevora.pt
721
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Institute of Engineering at Tribhuvan University Pulchowk Campus
publisher.none.fl_str_mv Institute of Engineering at Tribhuvan University Pulchowk Campus
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
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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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