Analytical criteria for local activity of CNN with five state variables and application to Hyper-chaos synchronization Chua's circuit

Lequan Min, Xisong Dong

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    Cite this article as:

    Lequan Min, and Xisong Dong, Analytical criteria for local activity of CNN with five state variables and application to Hyper-chaos synchronization Chua's circuit, J. Univ. Sci. Technol. Beijing , 9(2002), No. 4, pp.311-318.
    Lequan Min, and Xisong Dong, Analytical criteria for local activity of CNN with five state variables and application to Hyper-chaos synchronization Chua's circuit, J. Univ. Sci. Technol. Beijing , 9(2002), No. 4, pp.311-318.
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    Analytical criteria for local activity of CNN with five state variables and application to Hyper-chaos synchronization Chua's circuit

    • Applied Science School, University of Science and Technology Beijing, Beijing 100083, China

    基金项目: 

    This project is jointly supported by the National Natural Science Foundation of China (Grant No. 60074034) and the Foundation forUniversity Key Teacher by the Ministry of Education of China.

      通信作者:

      Lequan Min E-mail: lpmin@sohu.com

    中文摘要

    The analytic criteria for the local activity theory in one-port cellular neural network (CNN) with five local state variables are presented. The application to a Hyper-chaos synchronization Chua's circuit (HCSCC) CNN with 1125 variables is studied. The bifurcation diagrams of the HCSCC CNN show that they are slightly different from the smoothed CNN with one or two ports and four state variables calculated earlier. The evolution of the patterns of the state variables of the HCSCC CNN is stimulated. Oscillatory patterns, chaotic patterns, convergent or divergent patterns may emerge if the selected cell parameters are located in the locally active domains but nearby or in the edge of chaos domain.

     

    Information

    Analytical criteria for local activity of CNN with five state variables and application to Hyper-chaos synchronization Chua's circuit

    Author Affilications

      • Applied Science School, University of Science and Technology Beijing, Beijing 100083, China

    • Funds: 

      the National Natural Science Foundation of China (Grant No. 60074034) and the Foundation forUniversity Key Teacher by the Ministry of Education of China.

    • Received: 09 April 2002;
    The analytic criteria for the local activity theory in one-port cellular neural network (CNN) with five local state variables are presented. The application to a Hyper-chaos synchronization Chua's circuit (HCSCC) CNN with 1125 variables is studied. The bifurcation diagrams of the HCSCC CNN show that they are slightly different from the smoothed CNN with one or two ports and four state variables calculated earlier. The evolution of the patterns of the state variables of the HCSCC CNN is stimulated. Oscillatory patterns, chaotic patterns, convergent or divergent patterns may emerge if the selected cell parameters are located in the locally active domains but nearby or in the edge of chaos domain.

     

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