Nonlinear resonances phenomena in a modified Josephson junction model

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

作者机构：Research Unit Condensed MatterElectronics and Signal ProcessingThe University of DschangP.O.Box 67 DschangCameroon Unitède Recherche de Mècanique et de Modèlisation des Systemes Physiques(UR-2MSP)Facultèdes SciencesUniversitède DschangBP 69 DschangCameroun Sao Paulo State University(UNESP)Instituto de Fìsica TeóricaRua Dr.BentoTeobaldo Ferraz 271Bloco IIBarra Funda01140-070 Sao PauloBrazil 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2020年第29卷第12期

页      面：162-173页

核心收录：

学科分类：080904[工学-电磁场与微波技术] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

主　　题：nonlinear resonances hysteresis and jump phenomena modified Josephson junction 

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 *** 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 *** results of primary,superharmonic and subharmonic resonances are obtained *** 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 *** addition,the stabilities and the steady state solutions in each type of resonances are kindly *** number of equilibrium points that evolve with time and their stabilities are also ***,the equations of motion are numerically integrated to check the correctness of analytical *** further show that the dynamics of the MJJ is strongly influenced by its parameters.