在三维Lü系统的基础上增加一维状态,构建了一个新的四维超混沌Lü系统,简要地分析了该系统平衡点的性质、超混沌吸引子的相图、Lyapunov指数和Lyapunov维数等特性,并设计了一种实现四维超混沌系统的实际电路.硬件电路实验表明,超混沌Lü系统具有丰富的动力学行为.
The four-dimensional hyperchaos system is built by adding an additional state to the three-order Lü system. Some of its basic dynamical properties are studied briefly, such as the feature of equilibrium, the hyperchaos attractor, Lyapunov exponent and fractal dimension. An electronic circuit is designed to realize the four-dimensional hyperchaos system. Moreover, a novel analogue circuit is realized for the verification of various attractors.