一类超大范围超混沌系统的动力学分析和电路实现

为了获得更为复杂的混沌信号,构建了一类新的4维超大范围超混沌系统,并对该类新的超混沌系统的分岔图、相图和Lyapunov指数谱进行分析。对所构建的超大范围超混沌系统运用Electronic Workbench软件给出了仿真电路图。电路实验结果表明,系统参数在很大范围内发生变化时,系统呈现超混沌态,示波器上观察到的超混沌相图与数值仿真得到的相图基本一致,超混沌系统可用电路实现,这为该超混沌系统在保密通信中的应用打下了基础。

Dynamic Analysis of a Class of Large Range of Hyper-chaotic Systems and Its Circuit Achievement

A new class of four-dimensional hyper-chaotic system with super large range was constructed in order to obtain more complex chaotic signals. The Lyapunov exponents, bifurcation diagrams and phase charts were analyzed and the circuit diagram of the hyper-chaotic system was given by the use of Electronic Workbench software. The circuit simulation experiments showed that the system was hyperchaotic state when the system parameters were in great changes and the chaotic attractor on the oscilloscope kept pace with the phase diagram through the numerical simulation and the constructed hyper-chaotic system was realized by the circuit which was the application base of the constructed hyper-chaotic system for the secure communication.