Coexistence of anti-phase and complete synchronization in the Chen-Lee system

This paper investigates the coexistence of anti-phase and complete synchronization for the Chen-Lee system. Firstly, the existence of the coexistence of anti-phase and complete synchronization for such system is proven. Secondly, dividing the Chen-Lee system into two subsystems, the dynamic feedback controllers are designed, by which the coexistence of anti-phase and complete synchronization is realized. Finally, numerical simulations have been used to verify the validity and effectiveness of the proposed results.