复杂超混沌Lü系统的电路实验

利用对Lü系统实施反混沌控制的方法，构建了一类关联且有多种切换方式的四维超混沌Lü系统.依据系统的分岔图确定了各个子系统都处于超混沌状态时，系统参数的取值范围.分析了超混沌Lü系统平衡点的性质、超混沌吸引子的相图和Lyapunov指数等特性，设计并实现了这类可切换超混沌Lü系统的硬件电路，利用系统选择器，同一电路可以实现多个关联子系统的功能.电路实验表明，可切换的复杂超混沌Lü系统具有丰富的动力学行为. 关键词： 超混沌Lü系统 切换 分岔图 电路实验

Circuit experimentation for a complicated hyperchaotic Lü system

A four-dimensional interrelated and switchable Lü hyperchaotic system is built by adding an additional state into the three-dimensional Lü chaotic system. When subsystems are hyperchaotic，an identical system parameter is determined according to the bifurcation diagrams of these subsystems. Some of its basic dynamical properties are studied detailedly，such as the feature of equilibrium，the phase portraits of hyperchaotic attractor，the Lyapunov exponent and fractal dimension. A practical circuit is designed to realize these systems. Experimental result shows the effectiveness and feasibility of the theoretical analysis and verifies the behavior of various attractors.