中国物理B ›› 2007, Vol. 16 ›› Issue (9): 2631-2634.doi: 10.1088/1009-1963/16/9/022

• GENERAL • 上一篇    下一篇

Chaotic phenomena in Josephson circuits coupled quantum cellular neural networks

王森, 蔡理, 李芹, 吴刚   

  1. The Science Institute, Air Force Engineering University, Xi' an 710051, China
  • 收稿日期:2006-09-07 修回日期:2007-03-01 出版日期:2007-09-20 发布日期:2007-09-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Shaanxi Province, China (Grant No~2005F20) and the Innovation Funds of the College of Science, Air Force University of Engineering, China (Grant No~2007B003).} \\ %$^\dagger$E-mail: ...} % \vspace*{1.5mm}

Chaotic phenomena in Josephson circuits coupled quantum cellular neural networks

Wang Sen(王森), Cai Li(蔡理), Li Qin(李芹), and Wu Gang(吴刚)   

  1. The Science Institute, Air Force Engineering University, Xi' an 710051, China
  • Received:2006-09-07 Revised:2007-03-01 Online:2007-09-20 Published:2007-09-20
  • Supported by:
    Project supported by the Natural Science Foundation of Shaanxi Province, China (Grant No~2005F20) and the Innovation Funds of the College of Science, Air Force University of Engineering, China (Grant No~2007B003).} \\ %$^\dagger$E-mail: ...} % \vspace*{1.5mm}

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摘要： In this paper the nonlinear dynamical behaviour of a quantum cellular neural network (QCNN) by coupling Josephson circuits was investigated and it was shown that the QCNN using only two of them can cause the onset of chaotic oscillation. The theoretical analysis and simulation for the two Josephson-circuits-coupled QCNN have been done by using the amplitude and phase as state variables. The complex chaotic behaviours can be observed and then proved by calculating Lyapunov exponents. The study provides valuable information about QCNNs for future application in high-parallel signal processing and novel chaotic generators.

Abstract: In this paper the nonlinear dynamical behaviour of a quantum cellular neural network (QCNN) by coupling Josephson circuits was investigated and it was shown that the QCNN using only two of them can cause the onset of chaotic oscillation. The theoretical analysis and simulation for the two Josephson-circuits-coupled QCNN have been done by using the amplitude and phase as state variables. The complex chaotic behaviours can be observed and then proved by calculating Lyapunov exponents. The study provides valuable information about QCNNs for future application in high-parallel signal processing and novel chaotic generators.

Key words: quantum cellular neural network , Josephson junction, chaos, Lyapunov exponent

中图分类号: 

  • 74.40.+k
74.20.-z (Theories and models of superconducting state) 74.50.+r (Tunneling phenomena; Josephson effects)