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Complex Function Projective Synchronization In Fractional-Order Complex Networks And Its Application In Fractal Pattern Recognition

Author

Listed:
  • XIAORAN LIN

    (College of Information Technology, Hebei University of Economics and Business, Shijiazhuang, Hebei 050061, P. R. China†College of Computer Science, Chongqing University, Chongqing 40044, P. R. China)

  • SHANGBO ZHOU

    (#x2020;College of Computer Science, Chongqing University, Chongqing 40044, P. R. China)

  • LIHUI SUN

    (College of Information Technology, Hebei University of Economics and Business, Shijiazhuang, Hebei 050061, P. R. China)

  • YALI WU

    (College of Information Technology, Hebei University of Economics and Business, Shijiazhuang, Hebei 050061, P. R. China)

Abstract

Based on the stability theory of fractional-order systems, a projective synchronization scheme with different coefficients is realized in 1+N complex networks to build a model for fractal pattern recognition. In the proposed complex function projection synchronization scheme, first a drive-response network is constructed with 1+N fractional-order complex nodes; And then reasonable controllers are designed to realize the function projection synchronization with different projection coefficients, which are used to encode the fractal pattern; Finally, using the synchronization error system, the input variables for identifying fractal patterns can be solved, and the fractal pattern can be recognized. From the perspective of neurodynamics, the proposed model provides a better understanding of human perception system.

Suggested Citation

  • Xiaoran Lin & Shangbo Zhou & Lihui Sun & Yali Wu, 2019. "Complex Function Projective Synchronization In Fractional-Order Complex Networks And Its Application In Fractal Pattern Recognition," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 22(05), pages 1-19, August.
    • Handle: RePEc:wsi:acsxxx:v:22:y:2019:i:05:n:s0219525919500103
    DOI: 10.1142/S0219525919500103
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