Partial Anti-Synchronization in a Class of Chaotic and Hyper-Chaotic Systems

This paper investigates the partial anti-synchronization in a class of chaotic and hyper-chaotic systems. Firstly, the existence of the partial anti-synchronization for the chaotic system is proved. By a systematic method including two algorithms, all solutions of the partial anti-synchronization for a given chaotic system are then derived, and physical controllers are designed. Finally, some illustrative examples with numerical simulations are used to verify the validity and effectiveness of the theoretical results.

Automated summary

This paper investigates partial anti-synchronization in chaotic and hyper-chaotic systems, proving the existence of partial anti-synchronization in chaotic systems and deriving solutions using systematic methods. Physical controllers are designed and numerical simulations are used to verify the theoretical results.