Nonlinear resonances phenomena in a modified Josephson junction model
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , , |
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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Repositório Institucional da UNESP |
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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 |
|
_version_ |
1808129118205640704 |