Study of degenerate bifurcations in maps: A feedback systems approach

Autores
D'amico, Edith Maria Belen; Moiola, Jorge Luis; Paolini, Eduardo Emilio
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The dynamical behavior of nonlinear maps undergoing degenerate period doubling or degenerate Hopf bifurcations is studied via a frequency-domain approach. The technique is based on a discrete-time feedback representation of the system and the application of the well-known engineering tools of harmonic balance to approximate the emerging solutions. More specifically, the results are a higher-order extension of the previous developments obtained by the authors for nondegenerate bifurcations. Two examples are included for illustration. Read More: http://www.worldscientific.com/doi/abs/10.1142/S0218127404010266
Fil: D'amico, Edith Maria Belen. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto "alfredo Desages"; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Fil: Moiola, Jorge Luis. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto "alfredo Desages"; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Fil: Paolini, Eduardo Emilio. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto "alfredo Desages"; Argentina
Materia
Bifurcation theory
Harmonic analysis
Discrete-time systems
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/101428
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/101428
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Study of degenerate bifurcations in maps: A feedback systems approachD'amico, Edith Maria BelenMoiola, Jorge LuisPaolini, Eduardo EmilioBifurcation theoryHarmonic analysisDiscrete-time systemshttps://purl.org/becyt/ford/2.2https://purl.org/becyt/ford/2The dynamical behavior of nonlinear maps undergoing degenerate period doubling or degenerate Hopf bifurcations is studied via a frequency-domain approach. The technique is based on a discrete-time feedback representation of the system and the application of the well-known engineering tools of harmonic balance to approximate the emerging solutions. More specifically, the results are a higher-order extension of the previous developments obtained by the authors for nondegenerate bifurcations. Two examples are included for illustration. Read More: http://www.worldscientific.com/doi/abs/10.1142/S0218127404010266Fil: D'amico, Edith Maria Belen. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto "alfredo Desages"; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; ArgentinaFil: Moiola, Jorge Luis. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto "alfredo Desages"; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; ArgentinaFil: Paolini, Eduardo Emilio. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto "alfredo Desages"; ArgentinaWorld Scientific2004-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/101428D'amico, Edith Maria Belen; Moiola, Jorge Luis; Paolini, Eduardo Emilio; Study of degenerate bifurcations in maps: A feedback systems approach; World Scientific; International Journal Of Bifurcation And Chaos; 14; 5; 12-2004; 1625-16410218-1274CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/10.1142/S0218127404010266info:eu-repo/semantics/altIdentifier/doi/10.1142/S0218127404010266info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-17T10:57:02Zoai:ri.conicet.gov.ar:11336/101428instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-17 10:57:03.034CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Study of degenerate bifurcations in maps: A feedback systems approach
title Study of degenerate bifurcations in maps: A feedback systems approach
spellingShingle Study of degenerate bifurcations in maps: A feedback systems approach
D'amico, Edith Maria Belen
Bifurcation theory
Harmonic analysis
Discrete-time systems
title_short Study of degenerate bifurcations in maps: A feedback systems approach
title_full Study of degenerate bifurcations in maps: A feedback systems approach
title_fullStr Study of degenerate bifurcations in maps: A feedback systems approach
title_full_unstemmed Study of degenerate bifurcations in maps: A feedback systems approach
title_sort Study of degenerate bifurcations in maps: A feedback systems approach
dc.creator.none.fl_str_mv D'amico, Edith Maria Belen
Moiola, Jorge Luis
Paolini, Eduardo Emilio
author D'amico, Edith Maria Belen
author_facet D'amico, Edith Maria Belen
Moiola, Jorge Luis
Paolini, Eduardo Emilio
author_role author
author2 Moiola, Jorge Luis
Paolini, Eduardo Emilio
author2_role author
author
dc.subject.none.fl_str_mv Bifurcation theory
Harmonic analysis
Discrete-time systems
topic Bifurcation theory
Harmonic analysis
Discrete-time systems
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.2
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv The dynamical behavior of nonlinear maps undergoing degenerate period doubling or degenerate Hopf bifurcations is studied via a frequency-domain approach. The technique is based on a discrete-time feedback representation of the system and the application of the well-known engineering tools of harmonic balance to approximate the emerging solutions. More specifically, the results are a higher-order extension of the previous developments obtained by the authors for nondegenerate bifurcations. Two examples are included for illustration. Read More: http://www.worldscientific.com/doi/abs/10.1142/S0218127404010266
Fil: D'amico, Edith Maria Belen. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto "alfredo Desages"; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Fil: Moiola, Jorge Luis. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto "alfredo Desages"; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Fil: Paolini, Eduardo Emilio. Universidad Nacional del Sur. Departamento de Ingeniería Eléctrica y de Computadoras. Instituto "alfredo Desages"; Argentina
description The dynamical behavior of nonlinear maps undergoing degenerate period doubling or degenerate Hopf bifurcations is studied via a frequency-domain approach. The technique is based on a discrete-time feedback representation of the system and the application of the well-known engineering tools of harmonic balance to approximate the emerging solutions. More specifically, the results are a higher-order extension of the previous developments obtained by the authors for nondegenerate bifurcations. Two examples are included for illustration. Read More: http://www.worldscientific.com/doi/abs/10.1142/S0218127404010266
publishDate 2004
dc.date.none.fl_str_mv 2004-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/101428
D'amico, Edith Maria Belen; Moiola, Jorge Luis; Paolini, Eduardo Emilio; Study of degenerate bifurcations in maps: A feedback systems approach; World Scientific; International Journal Of Bifurcation And Chaos; 14; 5; 12-2004; 1625-1641
0218-1274
CONICET Digital
CONICET
url http://hdl.handle.net/11336/101428
identifier_str_mv D'amico, Edith Maria Belen; Moiola, Jorge Luis; Paolini, Eduardo Emilio; Study of degenerate bifurcations in maps: A feedback systems approach; World Scientific; International Journal Of Bifurcation And Chaos; 14; 5; 12-2004; 1625-1641
0218-1274
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/10.1142/S0218127404010266
info:eu-repo/semantics/altIdentifier/doi/10.1142/S0218127404010266
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv World Scientific
publisher.none.fl_str_mv World Scientific
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.001348

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