一个新超混沌系统及其EWB电路仿真

基于三维Lü混沌系统,提出了一个新超混沌系统,并对该超混沌系统的混沌吸引子、平衡点稳定性、Lya-punov指数谱、分岔图、Poincaré映射等基本动力学行为进行了深入分析.利用电路仿真软件(electronic workbench,EWB)对该超混沌系统的振荡电路进行了相图仿真,仿真结果表明,EWB仿真的混沌吸引子与计算机数值仿真的混沌吸引子是一致的.数值实验分析结果表明,借助该超混沌系统在参数较大范围内变化仍保持超混沌状态的特性,对解决基于超混沌的信号加密与安全通信这一实际问题具有较大的应用价值.

A new hyperchaotic system and its circuit simulation by electronic workbench

A new hyperchaotic system was developed based on the three-dimensional Lü chaotic system. The chaotic attractor, the stability of equilibrium point, the Lyapunov exponent spectrum, the bifurcation diagram and Poincaré mapping of this new hyperchaotic system were analyzed. A circuit was designed to realize this new hyperchaotic system by electronic workbench (EWB). The chaotic attractors in EWB simulation are accordant with that of numerical simulation. The results of numerical demonstration analysis show that the range of the system parameter generating hyperchaotic attractor is large, and it is of application value to solve problems of hyperchaotic encryption and secure communication.