Nonlinear resonances phenomena in a modified Josephson junction model

Detalhes bibliográficos
Autor(a) principal: Nguenang, Pernel
Data de Publicação: 2020
Outros Autores: Takam Mabekou, Sandrine, Louodop, Patrick [UNESP], Tsamouo Tsokeng, Arthur, Tchoffo, Martin
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1088/1674-1056/aba9cd
http://hdl.handle.net/11449/207043
Resumo: In this paper, the equivalent circuit of the non-autonomous Josephson junction (JJ) is presented and the effect of the proper frequency on the phase φ is studied. We also study nonlinear resonance phenomena in the oscillations of a modified Josephson junction (MJJ). These oscillations are probed through a system of nonlinear differential equations and the multiple time scale method is employed to investigate all different types of resonance that occur. The results of primary, superharmonic and subharmonic resonances are obtained analytically. We show that the system exhibits hardening and softening behaviors, as well as hysteresis and amplitude hopping phenomena in primary and superharmonic resonances, and only the hysteresis phenomenon in subharmonic resonance. In addition, the stabilities and the steady state solutions in each type of resonances are kindly evaluated. The number of equilibrium points that evolve with time and their stabilities are also studied. Finally, the equations of motion are numerically integrated to check the correctness of analytical calculations. We further show that the dynamics of the MJJ is strongly influenced by its parameters.
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spelling Nonlinear resonances phenomena in a modified Josephson junction modelhysteresis and jump phenomenamodified Josephson junctionnonlinear resonancesIn this paper, the equivalent circuit of the non-autonomous Josephson junction (JJ) is presented and the effect of the proper frequency on the phase φ is studied. We also study nonlinear resonance phenomena in the oscillations of a modified Josephson junction (MJJ). These oscillations are probed through a system of nonlinear differential equations and the multiple time scale method is employed to investigate all different types of resonance that occur. The results of primary, superharmonic and subharmonic resonances are obtained analytically. We show that the system exhibits hardening and softening behaviors, as well as hysteresis and amplitude hopping phenomena in primary and superharmonic resonances, and only the hysteresis phenomenon in subharmonic resonance. In addition, the stabilities and the steady state solutions in each type of resonances are kindly evaluated. The number of equilibrium points that evolve with time and their stabilities are also studied. Finally, the equations of motion are numerically integrated to check the correctness of analytical calculations. We further show that the dynamics of the MJJ is strongly influenced by its parameters.Research Unit Condensed Matter Electronics and Signal Processing University of Dschang, P. O. Box 67Unité de Recherche de Mécanique et de Modélisation des Systemes Physiques Faculté des Sciences Université de Dschang, BP 69Sao Paulo State University (UNESP) Instituto de Física Teóorica, Rua Dr. Bento, Teobaldo Ferraz 271Sao Paulo State University (UNESP) Instituto de Física Teóorica, Rua Dr. Bento, Teobaldo Ferraz 271University of DschangUniversité de DschangUniversidade Estadual Paulista (Unesp)Nguenang, PernelTakam Mabekou, SandrineLouodop, Patrick [UNESP]Tsamouo Tsokeng, ArthurTchoffo, Martin2021-06-25T10:48:03Z2021-06-25T10:48:03Z2020-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1088/1674-1056/aba9cdChinese Physics B, v. 29, n. 12, 2020.2058-38341674-1056http://hdl.handle.net/11449/20704310.1088/1674-1056/aba9cd2-s2.0-85098504762Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengChinese Physics Binfo:eu-repo/semantics/openAccess2021-10-23T16:08:22Zoai:repositorio.unesp.br:11449/207043Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:47:13.441687Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Nonlinear resonances phenomena in a modified Josephson junction model
title Nonlinear resonances phenomena in a modified Josephson junction model
spellingShingle Nonlinear resonances phenomena in a modified Josephson junction model
Nguenang, Pernel
hysteresis and jump phenomena
modified Josephson junction
nonlinear resonances
title_short Nonlinear resonances phenomena in a modified Josephson junction model
title_full Nonlinear resonances phenomena in a modified Josephson junction model
title_fullStr Nonlinear resonances phenomena in a modified Josephson junction model
title_full_unstemmed Nonlinear resonances phenomena in a modified Josephson junction model
title_sort Nonlinear resonances phenomena in a modified Josephson junction model
author Nguenang, Pernel
author_facet Nguenang, Pernel
Takam Mabekou, Sandrine
Louodop, Patrick [UNESP]
Tsamouo Tsokeng, Arthur
Tchoffo, Martin
author_role author
author2 Takam Mabekou, Sandrine
Louodop, Patrick [UNESP]
Tsamouo Tsokeng, Arthur
Tchoffo, Martin
author2_role author
author
author
author
dc.contributor.none.fl_str_mv University of Dschang
Université de Dschang
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Nguenang, Pernel
Takam Mabekou, Sandrine
Louodop, Patrick [UNESP]
Tsamouo Tsokeng, Arthur
Tchoffo, Martin
dc.subject.por.fl_str_mv hysteresis and jump phenomena
modified Josephson junction
nonlinear resonances
topic hysteresis and jump phenomena
modified Josephson junction
nonlinear resonances
description In this paper, the equivalent circuit of the non-autonomous Josephson junction (JJ) is presented and the effect of the proper frequency on the phase φ is studied. We also study nonlinear resonance phenomena in the oscillations of a modified Josephson junction (MJJ). These oscillations are probed through a system of nonlinear differential equations and the multiple time scale method is employed to investigate all different types of resonance that occur. The results of primary, superharmonic and subharmonic resonances are obtained analytically. We show that the system exhibits hardening and softening behaviors, as well as hysteresis and amplitude hopping phenomena in primary and superharmonic resonances, and only the hysteresis phenomenon in subharmonic resonance. In addition, the stabilities and the steady state solutions in each type of resonances are kindly evaluated. The number of equilibrium points that evolve with time and their stabilities are also studied. Finally, the equations of motion are numerically integrated to check the correctness of analytical calculations. We further show that the dynamics of the MJJ is strongly influenced by its parameters.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-01
2021-06-25T10:48:03Z
2021-06-25T10:48:03Z
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/10.1088/1674-1056/aba9cd
Chinese Physics B, v. 29, n. 12, 2020.
2058-3834
1674-1056
http://hdl.handle.net/11449/207043
10.1088/1674-1056/aba9cd
2-s2.0-85098504762
url http://dx.doi.org/10.1088/1674-1056/aba9cd
http://hdl.handle.net/11449/207043
identifier_str_mv Chinese Physics B, v. 29, n. 12, 2020.
2058-3834
1674-1056
10.1088/1674-1056/aba9cd
2-s2.0-85098504762
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Chinese Physics B
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
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