Chaos induced by turbulent and erratic functions

Detalhes bibliográficos
Autor(a) principal: Roman-Flores, H.
Data de Publicação: 2009
Outros Autores: Chalco-Cano, Y., Nunes-Silva, G. [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://www.eusflat.org/proceedings/IFSA-EUSFLAT_2009/pdf/tema_0231.pdf
http://hdl.handle.net/11449/71428
Resumo: Let (X, d) be a compact metric space and f: X → X a continuous function and consider the hyperspace (K(X), H) of all nonempty compact subsets of X endowed with the Hausdorff metric induced by d. Let f̄: K(X) → K (X) be defined by f̄(A) = {f(a)/a ∈ A} the natural extension of f to K(X), then the aim of this work is to study the dynamics of f when f is turbulent (erratic, respectively) and its relationships.
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spelling Chaos induced by turbulent and erratic functionsChaosDynamical systemsErratic functionsTurbulent functionsCompact metric spacesCompact subsetsContinuous functionsHausdorff metricNatural extensionChaos theoryFuzzy systemsFuzzy logicLet (X, d) be a compact metric space and f: X → X a continuous function and consider the hyperspace (K(X), H) of all nonempty compact subsets of X endowed with the Hausdorff metric induced by d. Let f̄: K(X) → K (X) be defined by f̄(A) = {f(a)/a ∈ A} the natural extension of f to K(X), then the aim of this work is to study the dynamics of f when f is turbulent (erratic, respectively) and its relationships.Instituto de Alta Investigación Universidad de Tarapacá, AricaDepartamento de Matemática Universidad de Tarapacá, AricaDepartamento de Ciência da Computação e Estatística Universidade Estadual Paulista, São José do Rio Preto - SPDepartamento de Ciência da Computação e Estatística Universidade Estadual Paulista, São José do Rio Preto - SPUniversidad de TarapacáUniversidade Estadual Paulista (Unesp)Roman-Flores, H.Chalco-Cano, Y.Nunes-Silva, G. [UNESP]2014-05-27T11:24:33Z2014-05-27T11:24:33Z2009-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject231-233http://www.eusflat.org/proceedings/IFSA-EUSFLAT_2009/pdf/tema_0231.pdf2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, IFSA-EUSFLAT 2009 - Proceedings, p. 231-233.http://hdl.handle.net/11449/714282-s2.0-84857996701Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPeng2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, IFSA-EUSFLAT 2009 - Proceedingsinfo:eu-repo/semantics/openAccess2021-10-23T00:57:26Zoai:repositorio.unesp.br:11449/71428Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:13:16.040963Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Chaos induced by turbulent and erratic functions
title Chaos induced by turbulent and erratic functions
spellingShingle Chaos induced by turbulent and erratic functions
Roman-Flores, H.
Chaos
Dynamical systems
Erratic functions
Turbulent functions
Compact metric spaces
Compact subsets
Continuous functions
Hausdorff metric
Natural extension
Chaos theory
Fuzzy systems
Fuzzy logic
title_short Chaos induced by turbulent and erratic functions
title_full Chaos induced by turbulent and erratic functions
title_fullStr Chaos induced by turbulent and erratic functions
title_full_unstemmed Chaos induced by turbulent and erratic functions
title_sort Chaos induced by turbulent and erratic functions
author Roman-Flores, H.
author_facet Roman-Flores, H.
Chalco-Cano, Y.
Nunes-Silva, G. [UNESP]
author_role author
author2 Chalco-Cano, Y.
Nunes-Silva, G. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidad de Tarapacá
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Roman-Flores, H.
Chalco-Cano, Y.
Nunes-Silva, G. [UNESP]
dc.subject.por.fl_str_mv Chaos
Dynamical systems
Erratic functions
Turbulent functions
Compact metric spaces
Compact subsets
Continuous functions
Hausdorff metric
Natural extension
Chaos theory
Fuzzy systems
Fuzzy logic
topic Chaos
Dynamical systems
Erratic functions
Turbulent functions
Compact metric spaces
Compact subsets
Continuous functions
Hausdorff metric
Natural extension
Chaos theory
Fuzzy systems
Fuzzy logic
description Let (X, d) be a compact metric space and f: X → X a continuous function and consider the hyperspace (K(X), H) of all nonempty compact subsets of X endowed with the Hausdorff metric induced by d. Let f̄: K(X) → K (X) be defined by f̄(A) = {f(a)/a ∈ A} the natural extension of f to K(X), then the aim of this work is to study the dynamics of f when f is turbulent (erratic, respectively) and its relationships.
publishDate 2009
dc.date.none.fl_str_mv 2009-12-01
2014-05-27T11:24:33Z
2014-05-27T11:24:33Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.eusflat.org/proceedings/IFSA-EUSFLAT_2009/pdf/tema_0231.pdf
2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, IFSA-EUSFLAT 2009 - Proceedings, p. 231-233.
http://hdl.handle.net/11449/71428
2-s2.0-84857996701
url http://www.eusflat.org/proceedings/IFSA-EUSFLAT_2009/pdf/tema_0231.pdf
http://hdl.handle.net/11449/71428
identifier_str_mv 2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, IFSA-EUSFLAT 2009 - Proceedings, p. 231-233.
2-s2.0-84857996701
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, IFSA-EUSFLAT 2009 - Proceedings
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 231-233
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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