一类新超混沌系统的动力学行为及电路实现

摘要

利用状态反馈法构造了一类新的四维超混沌系统，通过Matlab进行了数值模拟，并结合相图、Lyapunov指数谱图和分岔图等对该系统进行了定性和定量的动力学行为分析。通过Multisim振荡电路的搭建对该系统进行了电路仿真实验，实验结果与Matlab数值模拟结果一致，验证了该系统的混沌特性。%A class of hyper-chaotic system is constructed based on state feedback method in this paper. The phase portrait, Lyapunov exponent diagram and bifurcation diagram for the system by Matlab are obtained. The circuit simulation of system is also obtained by Multisim. Both results obtained by above methods are consistent.