一个四翼混沌系统的设计与电路实现

摘要

A novel chaotic system is built based on making z axis double polarities to enhance the complexity of attractors' topological structure. The attractors' structure of the system is varied from two-wings to four-wings. Theoretical analysis and numerical simulation are carried out for the novel chaotic system; the calculation indicates that the system has one positive Lyapunov exponent. And the system is operated by using a digital electro circuit design. It proves that theoretical analysis and numerical simulation are right.%为提高混沌吸引子的拓扑结构的复杂性,采用双极性化z轴的方法,将一个混沌系统的双翼吸引子变为四翼吸引子,对新的系统进行了理论分析和计算机仿真,Lyapunov指数计算表明系统具有一个正的Lyapunov指数,最后用数字技术实现了这个四翼混沌系统,实验结果证明了理论分析和数值仿真的正确性.