A fractional-order form of a system with stable equilibria and its synchronization



Xiong Wang, Adel Ouannas, Viet-Thanh Pham and Hamid Reza Abdolmohammadi 

Source title


Advances in Difference Equations 

Publication year

There has been an increasing interest in studying fractional-order chaotic systems and their synchronization. In this paper, the fractional-order form of a system with stable equilibrium is introduced. It is interesting that such a three-dimensional fractional system can exhibit chaotic attractors. Full-state hybrid projective synchronization scheme and inverse full-state hybrid projective synchronization scheme have been designed to synchronize the three-dimensional fractional system with different four-dimensional fractional systems. Numerical examples have verified the proposed synchronization schemes.