Synchronization and anti-synchronization of a new hyperchaotic Lü system with uncertain parameters via the passive control technique

In this paper, the synchronization and anti-synchronization problems of a newly reported hyperchaotic Lü system with uncertain parameters are investigated based on the passive control technique. By introducing three output variables, the passive controllers are designed to achieve synchronization and anti-synchronization between two new hyperchaotic Lü systems. Moreover, the corresponding update laws of the parameters are given. Simulation results are provided to show the effectiveness of the proposed controllers. (paper)