Chaos induced by turbulent and erratic functions
Autor(a) principal: | |
---|---|
Data de Publicação: | 2009 |
Outros Autores: | , |
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. |
id |
UNSP_b372dc6bfe721950c8c85d7e1ab4510f |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/71428 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
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 |
|
_version_ |
1808129174060138496 |