中国物理B ›› 2008, Vol. 17 ›› Issue (2): 550-556.doi: 10.1088/1674-1056/17/2/033

• GENERAL • 上一篇    下一篇

Synchronization of chaos in resistive-capacitive-inductive shunted Josephson junctions

冯玉玲, 沈 柯   

  1. Department of Physics, Changchun University of Science and Technology, Changchun 130022, China
  • 收稿日期:2007-08-06 修回日期:2007-09-02 出版日期:2008-02-20 发布日期:2008-02-20

Synchronization of chaos in resistive-capacitive-inductive shunted Josephson junctions

Feng Yu-Ling(冯玉玲)† and Shen Ke(沈柯)   

  1. Department of Physics, Changchun University of Science and Technology, Changchun 130022, China
  • Received:2007-08-06 Revised:2007-09-02 Online:2008-02-20 Published:2008-02-20

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摘要： We present a scheme for chaotic synchronization in two resistive- capacitive-inductive shunted Josephson junctions (RCLSJJs) by using another chaotic RCLSJJ as a driving system. Numerical simulations show that whether the two RCLSJJs are chaotic or not before being driven, they can realize chaotic synchronization with a suitable driving intensity, under which the maximum condition Lyapunov exponent (MCLE) is negative. On the other hand, if the driving system is in different periodic states or chaotic states, the two driven RCLSJJs can be controlled into the periodic states with different period numbers or chaotic states but still maintain the synchronization.

Abstract: We present a scheme for chaotic synchronization in two resistive- capacitive-inductive shunted Josephson junctions (RCLSJJs) by using another chaotic RCLSJJ as a driving system. Numerical simulations show that whether the two RCLSJJs are chaotic or not before being driven, they can realize chaotic synchronization with a suitable driving intensity, under which the maximum condition Lyapunov exponent (MCLE) is negative. On the other hand, if the driving system is in different periodic states or chaotic states, the two driven RCLSJJs can be controlled into the periodic states with different period numbers or chaotic states but still maintain the synchronization.

Key words: chaos synchronization, Josephson junction, maximum condition Lyapunov exponent

中图分类号:  (Tunneling phenomena; Josephson effects)

  • 74.50.+r
05.45.Xt (Synchronization; coupled oscillators) 85.25.Dq (Superconducting quantum interference devices (SQUIDs)) 85.25.Cp (Josephson devices)