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Chinese Physics, 2007, Vol. 16(9): 2631-2634    DOI: 10.1088/1009-1963/16/9/022
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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)
The Science Institute, Air Force Engineering University, Xi' an 710051, China
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.
Keywords:  quantum cellular neural network       Josephson junction      chaos      Lyapunov exponent  
Received:  07 September 2006      Revised:  01 March 2007      Accepted manuscript online: 
PACS:  74.40.+k  
  74.20.-z (Theories and models of superconducting state)  
  74.50.+r (Tunneling phenomena; Josephson effects)  
Fund: 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}

Cite this article: 

Wang Sen(王森), Cai Li(蔡理), Li Qin(李芹), and Wu Gang(吴刚) Chaotic phenomena in Josephson circuits coupled quantum cellular neural networks 2007 Chinese Physics 16 2631

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