Coexistence of synchronization and anti-synchronization in the unified chaotic systems

This paper investigates the coexistence of anti-synchronization and synchronization in the unified chaotic systems. First, an algorithm is proposed to select what variables in the master system which can anti-synchronize the corresponding variables in the slave system. Then, several control strategy is presented to guarantee coexistence of synchronization and anti-synchronization in the unified chaotic system. Finally, numerical simulations verify the correctness and the effectiveness of the proposed results.