Fractional matrix and inverse matrix projective synchronization methods for synchronizing the disturbed fractional-order hyperchaotic system

2018 ◽  
Vol 41 (16) ◽  
pp. 6907-6920 ◽  
Author(s):  
Jinman He ◽  
Fangqi Chen ◽  
Tengfei Lei
Keyword(s):  
Fractional Order ◽  
Inverse Matrix ◽  
Projective Synchronization ◽  
Hyperchaotic System

scholarly journals Modified Function Projective Synchronization of Fractional Order Chaotic Systems with Different Dimensions

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Hong-Juan Liu ◽  
Zhi-Liang Zhu ◽  
Hai Yu ◽  
Qian Zhu
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Projective Synchronization ◽  
Hyperchaotic System ◽  
Unknown Parameters ◽  
Adaptive Controllers ◽  
Function Projective Synchronization ◽  
Modified Function Projective Synchronization ◽  
Different Dimensions ◽  
The Stability

The modified function projective synchronization of different dimensional fractional-order chaotic systems with known or unknown parameters is investigated in this paper. Based on the stability theorem of linear fractional-order systems, the adaptive controllers with corresponding parameter update laws for achieving the synchronization are given. The fractional-order chaotic system and hyperchaotic system are applied to achieve synchronization in both reduced order and increased order. The corresponding numerical results coincide with theoretical analysis.

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