Nonlinear resonances phenomena in a modified Josephson junction model  

作　　者：Pernel Nguenang Sandrine Takam Mabekou Patrick Louodop Arthur Tsamouo Tsokeng Martin Tchoffo 

机构地区：[1]Research Unit Condensed Matter,Electronics and Signal Processing,The University of Dschang,P.O.Box 67 Dschang,Cameroon [2]Unitède Recherche de Mècanique et de Modèlisation des Systemes Physiques(UR-2MSP),Facultèdes Sciences,Universitède Dschang,BP 69 Dschang,Cameroun [3]Sao Paulo State University(UNESP),Instituto de Fìsica Teórica,Rua Dr.Bento,Teobaldo Ferraz 271,Bloco II,Barra Funda,01140-070 Sao Paulo,Brazil

出　　处：《Chinese Physics B》2020年第12期162-173,共12页中国物理B（英文版）

摘　　要：In this paper,the equivalent circuit of the non-autonomous Josephson junction(JJ)is presented and the effect of the proper frequency on the phaseφis 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.

关 键 词：nonlinear resonances hysteresis and jump phenomena modified Josephson junction 

分 类 号：O322[理学—一般力学与力学基础] TN752[理学—力学]