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

作者:Wang, Xiong; Ouannas, Adel; Viet-Thanh Pham*; Abdolmohammadi, Hamid Reza
来源:Advances in Difference Equations, 2018, 2018(1): 20.
DOI:10.1186/s13662-018-1479-0

摘要

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.