Adaptive hybrid projective synchronization of two coupled fractional-order complex networks with different sizes

2015 ◽  
Vol 164 ◽  
pp. 182-189 ◽  
Author(s):  
Tiedong Ma ◽  
Jun Zhang ◽  
Yongcheng Zhou ◽  
Haoyang Wang
Keyword(s):  
Complex Networks ◽  
Fractional Order ◽  
Projective Synchronization ◽  
Order Complex ◽  
Hybrid Projective Synchronization

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

2019 ◽  
Vol 22 (05) ◽  
pp. 1950010
Author(s):  
XIAORAN LIN ◽  
SHANGBO ZHOU ◽  
LIHUI SUN ◽  
YALI WU
Keyword(s):  
Pattern Recognition ◽  
Complex Networks ◽  
Fractional Order ◽  
Complex Function ◽  
Human Perception ◽  
Projective Synchronization ◽  
Order Complex ◽  
Fractal Pattern ◽  
Perception System ◽  
Synchronization Scheme

Based on the stability theory of fractional-order systems, a projective synchronization scheme with different coefficients is realized in [Formula: see text] 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 [Formula: see text] 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.

Finite-time synchronization of fractional-order complex networks via hybrid feedback control

2018 ◽  
Vol 320 ◽  
pp. 69-75 ◽  
Author(s):  
Hong-Li Li ◽  
Jinde Cao ◽  
Haijun Jiang ◽  
Ahmed Alsaedi
Keyword(s):  
Feedback Control ◽  
Complex Networks ◽  
Fractional Order ◽  
Finite Time ◽  
Time Synchronization ◽  
Order Complex
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