Nonlinear resonances phenomena in a modified Josephson junction model

doi:10.1088/1674-1056/aba9cd

中国物理B ›› 2020, Vol. 29 ›› Issue (12): 120501-.doi: 10.1088/1674-1056/aba9cd

收稿日期:2020-05-04 修回日期:2020-07-11 接受日期:2020-07-28 出版日期:2020-12-01 发布日期:2020-11-19

Nonlinear resonances phenomena in a modified Josephson junction model

Pernel Nguenang¹, Sandrine Takam Mabekou², Patrick Louodop^1,3, Arthur Tsamouo Tsokeng¹, and Martin Tchoffo^1,†

¹ Research Unit Condensed Matter, Electronics and Signal Processing, The University of Dschang, P. O. Box 67 Dschang, Cameroon; ² Unitè de Recherche de Mècanique et de Modèlisation des Syst\`emes Physiques (UR-2MSP), Facultè des Sciences, Universitè de Dschang, BP 69 Dschang, Cameroun; ³ S\ ao Paulo State University (UNESP), Instituto de Fìsica Teórica, Rua Dr. Bento, Teobaldo Ferraz 271, Bloco II, Barra Funda, 01140-070 S\ ao Paulo, Brazil

Received:2020-05-04 Revised:2020-07-11 Accepted:2020-07-28 Online:2020-12-01 Published:2020-11-19
Contact: ^†Corresponding author. E-mail: mtchoffo2000@yahoo.fr

摘要/Abstract

Abstract: 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.

Key words: nonlinear resonances, hysteresis and jump phenomena, modified Josephson junction

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

. [J]. 中国物理B, 2020, 29(12): 120501-.

Pernel Nguenang, Sandrine Takam Mabekou, Patrick Louodop, Arthur Tsamouo Tsokeng, and Martin Tchoffo. Nonlinear resonances phenomena in a modified Josephson junction model[J]. Chin. Phys. B, 2020, 29(12): 120501-.

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Nonlinear resonances phenomena in a modified Josephson junction model

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