针对统一混沌系统对应的超混沌系统实现问题,利用增加系统维数和线性反馈的方法,以统一混沌系统为基础,构建了一类四维自治统一超混沌系统。对系统平衡点的特性进行分析并计算了系统的分形维数,根据系统的Lyapunov指数谱和分岔图分析系统的变化范围。随着系统的变化,统一超混沌系统包含了3个子系统:广义超混沌Lorenz系统、超混沌Ln系统和广义超混沌Chen系统。与现有的超混沌系统比较,新的统一超混沌系统具有更大的最大Lyapunov指数。用数字信号处理(DSP)芯片对几个典型的统一超混沌系统进行硬件实现,并验证了超混沌奇异吸引子的存在。
To solve the implementation problem of a unified hyperchaotic system, a four-dimensional unified hyperchaotic system is generated via adding dimensional and linear feedback to the three-dimensional unified chaotic system. The characters of three equilibriums are discussed and a fractal dimension is calculated. The range of a unified hyper- chaotic system is studied by Lyapunov exponent spectrum and bifurcation diagram. The parameter value of the unified hyperchaotic system is changed which contain a gengeralized hyperchaotic Lorenz system ,hyperchaotic Lti system and a gengeralized hyperchaotic Chen system. Compared with other hyperchaotic systems, the value of the biggest positive Lyapunov exponent for the new unified hyperchaotic system is bigger. The hyperchaotic strange attractors of a unified hyperchaotic system are achieved based on digital signal processing(DSP) for some typical systems.