中国物理B ›› 2008, Vol. 17 ›› Issue (8): 2837-2843.doi: 10.1088/1674-1056/17/8/015

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The characteristics of nonlinear chaotic dynamics in quantum cellular neural networks

康 强1, 王 森2, 蔡 理2, 吴 刚2, 李 芹2   

  1. (1)Science Research Department, Air Force Engineering University, Xi'an 710051, China; (2)The Science Institute, Air Force Engineering University, Xi'an 710051, China
  • 收稿日期:2007-10-16 修回日期:2007-11-13 出版日期:2008-08-20 发布日期:2008-08-20
  • 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 (2007B003).

The characteristics of nonlinear chaotic dynamics in quantum cellular neural networks

Wang Sen(王森)a), Cai Li(蔡理)a), Kang Qiang(康强)b), Wu Gang(吴刚)a), and Li Qin(李芹)a)   

  1. a The Science Institute, Air Force Engineering University, Xi'an 710051, China; b Science Research Department, Air Force Engineering University, Xi'an 710051, China
  • Received:2007-10-16 Revised:2007-11-13 Online:2008-08-20 Published:2008-08-20
  • 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 (2007B003).

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摘要： With the polarization of quantum-dot cell and quantum phase serving as state variables, this paper does both theoretical analysis and simulation for the complex nonlinear dynamical behaviour of a three-cell-coupled Quantum Cellular Neural Network (QCNN), including equilibrium points, bifurcation and chaotic behaviour. Different phenomena, such as quasi-periodic, chaotic and hyper-chaotic states as well as bifurcations are revealed. The system's bifurcation and chaotic behaviour under the influence of the different coupling parameters are analysed. And it finds that the unbalanced cells coupled QCNN is easy to cause chaotic oscillation and the system response enters into chaotic state from quasi-periodic state by quasi-period bifurcation; however, the balanced cells coupled QCNN also can be chaotic when coupling parameters is in some region. Additionally, both the unbalanced and balanced cells coupled QCNNs can possess hyper-chaotic behaviour. It provides valuable information about QCNNs for future application in high-parallel signal processing and novel ultra-small chaotic generators.

关键词: quantum cellular neural network, bifurcation, chaos, quantum cellular automata

Abstract: With the polarization of quantum-dot cell and quantum phase serving as state variables, this paper does both theoretical analysis and simulation for the complex nonlinear dynamical behaviour of a three-cell-coupled Quantum Cellular Neural Network (QCNN), including equilibrium points, bifurcation and chaotic behaviour. Different phenomena, such as quasi-periodic, chaotic and hyper-chaotic states as well as bifurcations are revealed. The system's bifurcation and chaotic behaviour under the influence of the different coupling parameters are analysed. And it finds that the unbalanced cells coupled QCNN is easy to cause chaotic oscillation and the system response enters into chaotic state from quasi-periodic state by quasi-period bifurcation; however, the balanced cells coupled QCNN also can be chaotic when coupling parameters is in some region. Additionally, both the unbalanced and balanced cells coupled QCNNs can possess hyper-chaotic behaviour. It provides valuable information about QCNNs for future application in high-parallel signal processing and novel ultra-small chaotic generators.

Key words: quantum cellular neural network, bifurcation, chaos, quantum cellular automata

中图分类号:  (Numerical simulations of chaotic systems)

  • 05.45.Pq
73.63.Kv (Quantum dots)