基于自适应控制的八个混沌系统的多级组合同步

针对传统的混沌系统结构样式单一和系统变量少的问题，设计了一种混沌电路系统，该电路有较为复杂的动力学行为、较高的敏感性和较强的抗干扰性。随着电路参数的变化，结合自适应稳定性判据和混沌运动理论详细分析了该系统的不同动力学行为；此外，根据电路图搭建了相应的电路并利用示波器观察该电路的动力学行为，其行为与MATLAB的仿真结果相一致，进一步证明了电路的可行性和灵活性。在此基础上，重点提出并研究了基于本系统的多级组合同步，通过构造不同的控制器实现了八个系统之间的多级组合同步。仿真结果表明，该同步方案在收敛速度和精度上具有很好的效果。

Multi-stage combination synchronization of eight chaotic systems based on adaptive control

Aiming at the problem of single structure style and less system variable for traditional chaotic system, this paper proposed a chaotic circuit, which had more complex dynamic behaviors, higher sensitivity to variable and stronger anti-interference. With the change of circuit parameters, this paper discussed the different dynamic behaviors of the system in detail based on the adaptive stability criterion and chaos motion theory. In addition, it constructed the corresponding circuit and observed the system dynamics phenomena by oscilloscope. The dynamics phenomena were in accordance with the simulation results of MATLAB, which further proved the feasibility and flexibility of the circuit. On this basis, it put forward and studied the multi-stage combination synchronization based on this system. By constructing different controllers, this paper realized the multi-stage combination synchronization among the eight systems. The simulation results show that the synchronization scheme has a good effect on convergence speed and precision.