Anti-synchronization in different chaotic systems

Based on the active control theory, anti-synchronization between two different chaotic systems is investigated. Through rigorous mathematical theory, the sufficient condition is drawn for the stability of the error dynamics, where the controllers are designed by using the sum of the relevant variables in chaotic systems. Numerical simulations are performed for the Lorenz–Lü system and Lorenz–Chen system to demonstrate the effectiveness of the proposed control strategy.