A simple electronic device to experiment with the Hopf bifurcation

Autores
Rim, Daniela Noemí; Cremades, Pablo Gabriel; Kaluza, Pablo Federico
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present a simple low-cost electronic circuit that is able to show two different dynamical regimens with oscillations of voltages and with constant values of them. This device is designed as a negative feedback three-node network, inspired in the genetic repressilator. The circuit's behavior is modeled by a system of differential equations which is studied in several different ways by applying the dynamical system formalism, making numerical simulations and constructing and measuring it experimentally. We find that the most important characteristics of the Hopf bifurcation can be found and controlled. Particularly, a resistor value plays the role of the bifurcation parameter, which can be easily varied experimentally. As a result, this system can be employed to introduce many aspects of a research in a real physical system, and it enables us to study one of the most important kinds of bifurcation.
Fil: Rim, Daniela Noemí. Universidad Nacional de Cuyo. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Cremades, Pablo Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Cuyo. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Kaluza, Pablo Federico. Universidad Nacional de Cuyo. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
DYNAMICAL SYSTEMS
ELECTRONIC CIRCUIT
HOPF BIFURCATION
REPRESSILATOR
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:11336/116831
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/116831
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A simple electronic device to experiment with the Hopf bifurcationRim, Daniela NoemíCremades, Pablo GabrielKaluza, Pablo FedericoDYNAMICAL SYSTEMSELECTRONIC CIRCUITHOPF BIFURCATIONREPRESSILATORhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We present a simple low-cost electronic circuit that is able to show two different dynamical regimens with oscillations of voltages and with constant values of them. This device is designed as a negative feedback three-node network, inspired in the genetic repressilator. The circuit's behavior is modeled by a system of differential equations which is studied in several different ways by applying the dynamical system formalism, making numerical simulations and constructing and measuring it experimentally. We find that the most important characteristics of the Hopf bifurcation can be found and controlled. Particularly, a resistor value plays the role of the bifurcation parameter, which can be easily varied experimentally. As a result, this system can be employed to introduce many aspects of a research in a real physical system, and it enables us to study one of the most important kinds of bifurcation.Fil: Rim, Daniela Noemí. Universidad Nacional de Cuyo. Facultad de Ciencias Exactas y Naturales; ArgentinaFil: Cremades, Pablo Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Cuyo. Facultad de Ciencias Exactas y Naturales; ArgentinaFil: Kaluza, Pablo Federico. Universidad Nacional de Cuyo. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaSociedad Mexicana de Física2019-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/116831Rim, Daniela Noemí; Cremades, Pablo Gabriel; Kaluza, Pablo Federico; A simple electronic device to experiment with the Hopf bifurcation; Sociedad Mexicana de Física; Revista Mexicana de Física E; 65; 1; 1-2019; 58-631870-3542CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1901.09893info:eu-repo/semantics/altIdentifier/doi/10.31349/RevMexFisE.65.58info:eu-repo/semantics/altIdentifier/url/https://rmf.smf.mx/ojs/rmf-e/article/view/491info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:28:39Zoai:ri.conicet.gov.ar:11336/116831instacron: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:34982025-09-29 10:28:39.789CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A simple electronic device to experiment with the Hopf bifurcation
title A simple electronic device to experiment with the Hopf bifurcation
spellingShingle A simple electronic device to experiment with the Hopf bifurcation
Rim, Daniela Noemí
DYNAMICAL SYSTEMS
ELECTRONIC CIRCUIT
HOPF BIFURCATION
REPRESSILATOR
title_short A simple electronic device to experiment with the Hopf bifurcation
title_full A simple electronic device to experiment with the Hopf bifurcation
title_fullStr A simple electronic device to experiment with the Hopf bifurcation
title_full_unstemmed A simple electronic device to experiment with the Hopf bifurcation
title_sort A simple electronic device to experiment with the Hopf bifurcation
dc.creator.none.fl_str_mv Rim, Daniela Noemí
Cremades, Pablo Gabriel
Kaluza, Pablo Federico
author Rim, Daniela Noemí
author_facet Rim, Daniela Noemí
Cremades, Pablo Gabriel
Kaluza, Pablo Federico
author_role author
author2 Cremades, Pablo Gabriel
Kaluza, Pablo Federico
author2_role author
author
dc.subject.none.fl_str_mv DYNAMICAL SYSTEMS
ELECTRONIC CIRCUIT
HOPF BIFURCATION
REPRESSILATOR
topic DYNAMICAL SYSTEMS
ELECTRONIC CIRCUIT
HOPF BIFURCATION
REPRESSILATOR
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We present a simple low-cost electronic circuit that is able to show two different dynamical regimens with oscillations of voltages and with constant values of them. This device is designed as a negative feedback three-node network, inspired in the genetic repressilator. The circuit's behavior is modeled by a system of differential equations which is studied in several different ways by applying the dynamical system formalism, making numerical simulations and constructing and measuring it experimentally. We find that the most important characteristics of the Hopf bifurcation can be found and controlled. Particularly, a resistor value plays the role of the bifurcation parameter, which can be easily varied experimentally. As a result, this system can be employed to introduce many aspects of a research in a real physical system, and it enables us to study one of the most important kinds of bifurcation.
Fil: Rim, Daniela Noemí. Universidad Nacional de Cuyo. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Cremades, Pablo Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Cuyo. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Kaluza, Pablo Federico. Universidad Nacional de Cuyo. Facultad de Ciencias Exactas y Naturales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We present a simple low-cost electronic circuit that is able to show two different dynamical regimens with oscillations of voltages and with constant values of them. This device is designed as a negative feedback three-node network, inspired in the genetic repressilator. The circuit's behavior is modeled by a system of differential equations which is studied in several different ways by applying the dynamical system formalism, making numerical simulations and constructing and measuring it experimentally. We find that the most important characteristics of the Hopf bifurcation can be found and controlled. Particularly, a resistor value plays the role of the bifurcation parameter, which can be easily varied experimentally. As a result, this system can be employed to introduce many aspects of a research in a real physical system, and it enables us to study one of the most important kinds of bifurcation.
publishDate 2019
dc.date.none.fl_str_mv 2019-01
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/11336/116831
Rim, Daniela Noemí; Cremades, Pablo Gabriel; Kaluza, Pablo Federico; A simple electronic device to experiment with the Hopf bifurcation; Sociedad Mexicana de Física; Revista Mexicana de Física E; 65; 1; 1-2019; 58-63
1870-3542
CONICET Digital
CONICET
url http://hdl.handle.net/11336/116831
identifier_str_mv Rim, Daniela Noemí; Cremades, Pablo Gabriel; Kaluza, Pablo Federico; A simple electronic device to experiment with the Hopf bifurcation; Sociedad Mexicana de Física; Revista Mexicana de Física E; 65; 1; 1-2019; 58-63
1870-3542
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://arxiv.org/abs/1901.09893
info:eu-repo/semantics/altIdentifier/doi/10.31349/RevMexFisE.65.58
info:eu-repo/semantics/altIdentifier/url/https://rmf.smf.mx/ojs/rmf-e/article/view/491
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
dc.publisher.none.fl_str_mv Sociedad Mexicana de Física
publisher.none.fl_str_mv Sociedad Mexicana de Física
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 13.070432

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