COMPLEX FUNCTION PROJECTIVE SYNCHRONIZATION IN FRACTIONAL-ORDER COMPLEX NETWORKS AND ITS APPLICATION IN FRACTAL PATTERN RECOGNITION

Xiaoran Lin, Shangbo Zhou, Lihui Sun and Yali Wu
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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

Advances in Complex Systems (ACS), 2019, vol. 22, issue 05, 1-19

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.

Keywords: Fractional-order complex networks; function projective synchronization; fractal pattern recognition (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S0219525919500103

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