利用拓展系统变量,增加系统的非线性函数和对原系统实施反混沌控制方法,构建了一类关联且有多种切换方式的超混沌系统,对这类系统的分岔图、平衡点的稳定性、Lyapunov指数和动力学行为的演化过程进行了分析.设计了实现切换超混沌系统的电路,利用开关的切换,一个电路能实现多个超混沌系统的功能.
A class of four-dimensional correlative and switchable hyperchaotic systems are built by adding an additional state, the nonlinear functions and anti-control into the three-dimensional chaotic system. Some of their basic properties are studied, such as the feature of equilibrium, the phase portraits of hyperchaotic attractor, Lyapunov exponent and the evolution of the dynamical action. The practical circuit is designed to realise these systems.