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)
aThe Science Institute, Air Force Engineering University, Xi'an 710051, China; bScience Research Department, Air Force Engineering University, Xi'an 710051, China
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.
Received: 16 October 2007
Revised: 13 November 2007
Accepted manuscript online:
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 (2007B003).
Cite this article:
Wang Sen(王森), Cai Li(蔡理), Kang Qiang(康强), Wu Gang(吴刚), and Li Qin(李芹) The characteristics of nonlinear chaotic dynamics in quantum cellular neural networks 2008 Chin. Phys. B 17 2837
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