两个超混沌系统自动切换电路的设计和仿真

摘要

Based on a four dimensional quadratic hyperchaos system, a novel hyperchaos system was constructed by changing one of the state variables. And the automatic cycle switching between the orginal hyperchaotic system and the new hyper-chaoitc system was achieved through switching the state variables automatically by the analog switch. Lyapunov index and bifurcation diagram for the new hyperchaotic system are analyzed. A phase diagram was obtained with numerical simulation. An analog electronic circuit was designed. The phase diagram of automatic switching between two hyperchaotic systems was observed in circuit simulation experiments.%在一个四维二次超混沌系统的基础上,通过改变其中一个状态变量构造成一个新的超混沌系统,并且通过模拟开关自动切换状态变量,实现原超混沌系统和新的超混沌系统的自动循环切换.对新的超混沌系统的Lyapunov指数和分岔图进行了分析,通过数值仿真得到了相图；设计了一个模拟电子电路,电路仿真实验可以观察到两个超混沌系统自动切换的相图.仿真结果表明,该设计达到了较理想的效果.