Non periodic oscillations, bistability, coexistence of chaos and hyperchaos in the simplest resistorless Op-Amp based Colpitts oscillator

Detalhes bibliográficos
Autor(a) principal: Nanfa'a, R. Zebaze
Data de Publicação: 2020
Outros Autores: Tchitnga, R., Fotso, P.H. Louodop [UNESP], Kengne, R., Talla, F. C., Nana, B., Pelap, F. B.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.heliyon.2020.e03482
http://hdl.handle.net/11449/200104
Resumo: In the framework of a project on simple circuits with unexpected high degrees of freedom, we report an autonomous microwave oscillator made of a CLC linear resonator of Colpitts type and a single general purpose operational amplifier (Op-Amp). The resonator is in a parallel coupling with the Op-Amp to build the necessary feedback loop of the oscillator. Unlike the general topology of Op-Amp-based oscillators found in the literature including almost always the presence of a negative resistance to justify the nonlinear oscillatory behavior of such circuits, our zero resistor circuit exhibits chaotic and hyperchaotic signals in GHz frequency domain, as well as many other features of complex dynamic systems, including bistability. This simplest form of Colpitts oscillator is adequate to be used as didactic model for the study of complex systems at undergraduate level. Analog and experimental results are proposed.
id UNSP_363f2479f84a12853a32c129931489c9
oai_identifier_str oai:repositorio.unesp.br:11449/200104
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling Non periodic oscillations, bistability, coexistence of chaos and hyperchaos in the simplest resistorless Op-Amp based Colpitts oscillatorBistabilityElectrical engineeringHigh frequencyHyperchaosNonlinear physicsOperational amplifierParasitic capacitancesIn the framework of a project on simple circuits with unexpected high degrees of freedom, we report an autonomous microwave oscillator made of a CLC linear resonator of Colpitts type and a single general purpose operational amplifier (Op-Amp). The resonator is in a parallel coupling with the Op-Amp to build the necessary feedback loop of the oscillator. Unlike the general topology of Op-Amp-based oscillators found in the literature including almost always the presence of a negative resistance to justify the nonlinear oscillatory behavior of such circuits, our zero resistor circuit exhibits chaotic and hyperchaotic signals in GHz frequency domain, as well as many other features of complex dynamic systems, including bistability. This simplest form of Colpitts oscillator is adequate to be used as didactic model for the study of complex systems at undergraduate level. Analog and experimental results are proposed.Unité de Recherche de Matière Condensée d'Electronique et de Traitement du Signal (URMACETS) Department of Physics Faculty of Science University of Dschang, P.O. Box 67 DschangResearch Group on Experimental and Applied Physics for Sustainable Development Department of Physics Faculty of Science University of Dschang, P.O.Box 412 DschangInstitute of Surface Chemistry and Catalysis University of Ulm, Albert-Einstein-Allee 47São Paulo State University (UNESP) Instituto de Física Teórica, Rua Dr. Bento Teobaldo Ferraz 271, Bloco II, São PauloDepartment of Physics University of Bamenda, P.O.Box 39 BamendaLaboratoire de Mécanique et de Modélisation des Systèmes L2MS Department of Physics Faculty of Science University of Dschang, P.O.Box 67São Paulo State University (UNESP) Instituto de Física Teórica, Rua Dr. Bento Teobaldo Ferraz 271, Bloco II, São PauloUniversity of DschangUniversity of UlmUniversidade Estadual Paulista (Unesp)University of BamendaNanfa'a, R. ZebazeTchitnga, R.Fotso, P.H. Louodop [UNESP]Kengne, R.Talla, F. C.Nana, B.Pelap, F. B.2020-12-12T01:57:52Z2020-12-12T01:57:52Z2020-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.heliyon.2020.e03482Heliyon, v. 6, n. 2, 2020.2405-8440http://hdl.handle.net/11449/20010410.1016/j.heliyon.2020.e034822-s2.0-85080047694Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengHeliyoninfo:eu-repo/semantics/openAccess2021-10-23T12:18:55Zoai:repositorio.unesp.br:11449/200104Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:42:25.858066Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Non periodic oscillations, bistability, coexistence of chaos and hyperchaos in the simplest resistorless Op-Amp based Colpitts oscillator
title Non periodic oscillations, bistability, coexistence of chaos and hyperchaos in the simplest resistorless Op-Amp based Colpitts oscillator
spellingShingle Non periodic oscillations, bistability, coexistence of chaos and hyperchaos in the simplest resistorless Op-Amp based Colpitts oscillator
Nanfa'a, R. Zebaze
Bistability
Electrical engineering
High frequency
Hyperchaos
Nonlinear physics
Operational amplifier
Parasitic capacitances
title_short Non periodic oscillations, bistability, coexistence of chaos and hyperchaos in the simplest resistorless Op-Amp based Colpitts oscillator
title_full Non periodic oscillations, bistability, coexistence of chaos and hyperchaos in the simplest resistorless Op-Amp based Colpitts oscillator
title_fullStr Non periodic oscillations, bistability, coexistence of chaos and hyperchaos in the simplest resistorless Op-Amp based Colpitts oscillator
title_full_unstemmed Non periodic oscillations, bistability, coexistence of chaos and hyperchaos in the simplest resistorless Op-Amp based Colpitts oscillator
title_sort Non periodic oscillations, bistability, coexistence of chaos and hyperchaos in the simplest resistorless Op-Amp based Colpitts oscillator
author Nanfa'a, R. Zebaze
author_facet Nanfa'a, R. Zebaze
Tchitnga, R.
Fotso, P.H. Louodop [UNESP]
Kengne, R.
Talla, F. C.
Nana, B.
Pelap, F. B.
author_role author
author2 Tchitnga, R.
Fotso, P.H. Louodop [UNESP]
Kengne, R.
Talla, F. C.
Nana, B.
Pelap, F. B.
author2_role author
author
author
author
author
author
dc.contributor.none.fl_str_mv University of Dschang
University of Ulm
Universidade Estadual Paulista (Unesp)
University of Bamenda
dc.contributor.author.fl_str_mv Nanfa'a, R. Zebaze
Tchitnga, R.
Fotso, P.H. Louodop [UNESP]
Kengne, R.
Talla, F. C.
Nana, B.
Pelap, F. B.
dc.subject.por.fl_str_mv Bistability
Electrical engineering
High frequency
Hyperchaos
Nonlinear physics
Operational amplifier
Parasitic capacitances
topic Bistability
Electrical engineering
High frequency
Hyperchaos
Nonlinear physics
Operational amplifier
Parasitic capacitances
description In the framework of a project on simple circuits with unexpected high degrees of freedom, we report an autonomous microwave oscillator made of a CLC linear resonator of Colpitts type and a single general purpose operational amplifier (Op-Amp). The resonator is in a parallel coupling with the Op-Amp to build the necessary feedback loop of the oscillator. Unlike the general topology of Op-Amp-based oscillators found in the literature including almost always the presence of a negative resistance to justify the nonlinear oscillatory behavior of such circuits, our zero resistor circuit exhibits chaotic and hyperchaotic signals in GHz frequency domain, as well as many other features of complex dynamic systems, including bistability. This simplest form of Colpitts oscillator is adequate to be used as didactic model for the study of complex systems at undergraduate level. Analog and experimental results are proposed.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-12T01:57:52Z
2020-12-12T01:57:52Z
2020-02-01
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://dx.doi.org/10.1016/j.heliyon.2020.e03482
Heliyon, v. 6, n. 2, 2020.
2405-8440
http://hdl.handle.net/11449/200104
10.1016/j.heliyon.2020.e03482
2-s2.0-85080047694
url http://dx.doi.org/10.1016/j.heliyon.2020.e03482
http://hdl.handle.net/11449/200104
identifier_str_mv Heliyon, v. 6, n. 2, 2020.
2405-8440
10.1016/j.heliyon.2020.e03482
2-s2.0-85080047694
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Heliyon
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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_ 1808129349218467840

Registros relacionados