Efficient simulation of solution curves and bifurcation loci in injection-locked oscillators

A new method is presented for the two-level harmonic-balance analysis of multivalued synchronized solution curves in injection-locked oscillators. The method is based on the extraction of a nonlinear admittance function, which describes the circuit response from the input source terminals. It does n...

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Autores: Cos Pérez, Jesús de, Suárez Rodríguez, Almudena|||0000-0002-5266-5544
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad de Cantabria (UC)
Repositorio:UCrea Repositorio Abierto de la Universidad de Cantabria
Idioma:inglés
OAI Identifier:oai:repositorio.unican.es:10902/10208
Acceso en línea:http://hdl.handle.net/10902/10208
Access Level:acceso abierto
Palabra clave:Injection-locking
Oscillator
Harmonic balance (HB)
Bifurcation
Stability
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spelling Efficient simulation of solution curves and bifurcation loci in injection-locked oscillatorsCos Pérez, Jesús deSuárez Rodríguez, Almudena|||0000-0002-5266-5544Injection-lockingOscillatorHarmonic balance (HB)BifurcationStabilityA new method is presented for the two-level harmonic-balance analysis of multivalued synchronized solution curves in injection-locked oscillators. The method is based on the extraction of a nonlinear admittance function, which describes the circuit response from the input source terminals. It does not require any optimization or parameter switching procedures, this constituting a significant advantage compared with previous analysis techniques. With additional mathematical conditions, it enables a straightforward determination of the turning point and Hopf bifurcation loci that delimit the stable injection-locked operation bands. The codimension two bifurcation point at which the turning point and Hopf bifurcation loci merge is analyzed in detail, as well as the saddle-connection locus. As it is shown, a second intersection of the saddle-connection locus with the turning point locus acts as a boundary between synchronization points and points associated with jumps and hysteresis. The likely observation of chaotic solutions in the neighborhood of the saddle-connection locus is discussed too. The techniques have been validated by application to several injection-locked oscillators, obtaining good agreement with the experimental results.This work was supported by the Spanish Ministry of Economy and competitiveness under contract TEC2011-29264-C03-01 and the predoctoral fellowship for researchers in training of the University of Cantabria and the Regional Ministry of Education of the Government of Cantabria.Institute of Electrical and Electronics Engineers Inc.Universidad de Cantabria20152015-01-01journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articlehttp://hdl.handle.net/10902/10208IEEE Transactions on Microwave Theory and Techniques, 2015, 63(1), 181-197reponame:UCrea Repositorio Abierto de la Universidad de Cantabriainstname:Universidad de Cantabria (UC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.unican.es:10902/102082026-06-02T12:39:31Z
dc.title.none.fl_str_mv Efficient simulation of solution curves and bifurcation loci in injection-locked oscillators
title Efficient simulation of solution curves and bifurcation loci in injection-locked oscillators
spellingShingle Efficient simulation of solution curves and bifurcation loci in injection-locked oscillators
Cos Pérez, Jesús de
Injection-locking
Oscillator
Harmonic balance (HB)
Bifurcation
Stability
title_short Efficient simulation of solution curves and bifurcation loci in injection-locked oscillators
title_full Efficient simulation of solution curves and bifurcation loci in injection-locked oscillators
title_fullStr Efficient simulation of solution curves and bifurcation loci in injection-locked oscillators
title_full_unstemmed Efficient simulation of solution curves and bifurcation loci in injection-locked oscillators
title_sort Efficient simulation of solution curves and bifurcation loci in injection-locked oscillators
dc.creator.none.fl_str_mv Cos Pérez, Jesús de
Suárez Rodríguez, Almudena|||0000-0002-5266-5544
author Cos Pérez, Jesús de
author_facet Cos Pérez, Jesús de
Suárez Rodríguez, Almudena|||0000-0002-5266-5544
author_role author
author2 Suárez Rodríguez, Almudena|||0000-0002-5266-5544
author2_role author
dc.contributor.none.fl_str_mv Universidad de Cantabria
dc.subject.none.fl_str_mv Injection-locking
Oscillator
Harmonic balance (HB)
Bifurcation
Stability
topic Injection-locking
Oscillator
Harmonic balance (HB)
Bifurcation
Stability
description A new method is presented for the two-level harmonic-balance analysis of multivalued synchronized solution curves in injection-locked oscillators. The method is based on the extraction of a nonlinear admittance function, which describes the circuit response from the input source terminals. It does not require any optimization or parameter switching procedures, this constituting a significant advantage compared with previous analysis techniques. With additional mathematical conditions, it enables a straightforward determination of the turning point and Hopf bifurcation loci that delimit the stable injection-locked operation bands. The codimension two bifurcation point at which the turning point and Hopf bifurcation loci merge is analyzed in detail, as well as the saddle-connection locus. As it is shown, a second intersection of the saddle-connection locus with the turning point locus acts as a boundary between synchronization points and points associated with jumps and hysteresis. The likely observation of chaotic solutions in the neighborhood of the saddle-connection locus is discussed too. The techniques have been validated by application to several injection-locked oscillators, obtaining good agreement with the experimental results.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10902/10208
url http://hdl.handle.net/10902/10208
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers Inc.
publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers Inc.
dc.source.none.fl_str_mv IEEE Transactions on Microwave Theory and Techniques, 2015, 63(1), 181-197
reponame:UCrea Repositorio Abierto de la Universidad de Cantabria
instname:Universidad de Cantabria (UC)
instname_str Universidad de Cantabria (UC)
reponame_str UCrea Repositorio Abierto de la Universidad de Cantabria
collection UCrea Repositorio Abierto de la Universidad de Cantabria
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869425666785542144
score 15,301603

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