Compound-combination synchronization of five chaotic systems via nonlinear control

Based on combination synchronization and compound synchronization, a novel kind of compound-combination synchronization scheme among five chaotic systems has been investigated in this paper. On the basic of the adaptive control and the stability theory, the mixed system which is a compound system among three drive chaotic systems can realize the synchronization with the novel system, which is a combination system between two response chaotic systems. The corresponding theoretical analysis and numerical simulations are provided to prove the validity and feasibility of the proposed control scheme. The unpredictability and complexity of the compound system of three drive systems can additionally strengthen the security of secure communication. The transmitted signals can be split into several different parts loaded in three drive systems to improve the reliability of secure communication.