Identification of parameters with different magnitude orders in chaotic Josephson junction by using scale conversion and adaptive synchronization

Fan LI; Long HUANG; Chun-ni WANG; Jun MA

doi:10.3969/j.issn.1007-5461. 2012.04.012

[1] Josephson B D. Supercurrents through barriers ［J］. Adv. Phys., 1965, 14: 419-451.

[2] Song F B, Mller F, et al. Compact tunable sub-terahertz oscillators based on Josephson junctions ［J］. Appl. Phys. Lett., 2011, 98: 142506.

[3] Crotty P, Schult D, Segall K. Josephson junction simulation of neurons ［J］. Phys. Rev. E, 2010, 82: 011914.

[4] Feng Yuling, Shen Ke. Controlling the Chaos in a RCL-shunted Josephson junction and studying the influence of thermal noise ［J］. Chin. J. Phys., 2010, 48(3): 317-322.

[5] Hu Yating, Zhou Tiege , Zuo Tao, et al. Simulation research of subharmonic steps of Josephson junctions under RF radiation ［J］. Cryo. Supercond., 2007, 35: 279-282.

[15] Zhou Tiege, Mao Jing, Liu Tingshu, et al. Phase locking and chaos in Josephson junction array shunted by a common resistance ［J］. Chin. Phys. Lett., 2009, 2(3): 077401-77403.

[16] Zhou Tiege, Wang Dingcheng, Zhao Xinjie, et al. Chaotic behavior of the Josephson junction array shunted by a common resistor ［J］. Cryo. Supercond., 2009, 37(2): 21-24.

[17] Ucar A, Lonngren K E, et al. Chaos synchronization in RCL-shunted Josephson junction via active control ［J］. Chaos, Solitons and Fractals, 2007, 31(1): 105-111.

[18] Yan J J, Huang C F, Lin J S. Robust synchronization of chaotic behavior in unidirectional coupled RCLSJ models subject to uncertainties ［J］. Nonlinear Anal.: Real World Appl., 2009, 10: 3091-3097.

[19] Yang Xiaosong, Li Qingdu. A computer-assisted proof of chaos in Josephson junctions ［J］. Chaos, Solitons and Fractals, 2006, 27: 25-30.

[21] Zhou Tiege, Mao Jing, Liu Tingshu, et al. Chaos in Josephson junctions and its application in secure communications ［J］. Cryo. Supercond., 2009, 37(4): 1-5.

[22] Kautz R L, Monaco R. Survey of chaos in the rf-biased Josephson junction ［J］. J. Phys., 1985, 57(3): 875-889.

[23] Iansiti M, Hu Q, Westervelt R M, et al. Noise and chaos in a fractal basin boundary regime of a Josephson junction ［J］. Phys. Rev. Lett., 1985, 55: 746-749.

[24] Hindmarsh J L, Rose R M. A model of the nerve impulse using two first-order differential equations ［J］. Nature (London), 1982, 276: 162-164.