Chaos and Synchronization of Fractional Order Liu System

摘要

In this paper, we numerically investigate the chaotic behaviors of the fractional order Liu system. We find that chaos exists in the fractional order Liu system with order less than 3. The lowest order we find to have chaos is 2.4 in this fractional order Liu system. The master-slave synchronization method is applied for synchronizing the fractional order chaotic Liu system. It is shown that fractional order chaotic systems can also be synchronized.