Nonlinear resonances phenomena in a modified Josephson junction model

Autor: Sandrine Mabekou, Patrick Louodop, Pernel Nguenang, Arthur Tsamouo Tsokeng, Martin Tchoffo
Přispěvatelé: University of Dschang, Université de Dschang, Universidade Estadual Paulista (Unesp)
Jazyk: angličtina
Rok vydání: 2020
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Zdroj: Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Popis: Made available in DSpace on 2021-06-25T10:48:03Z (GMT). No. of bitstreams: 0 Previous issue date: 2020-12-01 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. Research Unit Condensed Matter Electronics and Signal Processing University of Dschang, P. O. Box 67 Unité de Recherche de Mécanique et de Modélisation des Systemes Physiques Faculté des Sciences Université de Dschang, BP 69 Sao Paulo State University (UNESP) Instituto de Física Teóorica, Rua Dr. Bento, Teobaldo Ferraz 271 Sao Paulo State University (UNESP) Instituto de Física Teóorica, Rua Dr. Bento, Teobaldo Ferraz 271
Databáze: OpenAIRE
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