通过构造一个转折点值α可变的三分段线性奇函数 ,研究一种新型混沌产生器 .这种混沌产生器的主要特征是 ,随着转折点值α在 0 <α≤ 1范围内变化时 ,系统从倍周期分岔进入混沌状态 ,可产生双层单螺旋、单层单螺旋、双层双螺旋和单层双螺旋四种不同类型的混沌吸引子 ,其中双层单螺旋和双层双螺旋为本电路实验中所发现的两类新型混沌吸引子 .分析了这种混沌产生器随α值在 0 <α≤ 1范围内变化时的分岔图、李雅普诺夫指数谱、最大李雅普诺夫指数λmax以及单层双螺旋和双层双螺旋的功率谱 .在此基础上设计硬件电路 ,进行了计算机模拟和电路实验 ,给出了实验结果 By constructing a three-piece linear odd function with a turning point value α, a new type of chaos generator is studied.The main characteristic of this chaos generator is that as the turning point value α changes in the range of 0 <α ≤ 1, The system is bifurcated into the chaotic state from the doubling period and can generate four different types of chaotic attractors: single double helix, single helix, double helix and single helix. Among them, double helix and double helix Are two kinds of new chaotic attractors found in the experiment of the circuit.The bifurcation diagrams of the chaos generator with the variation of α value in the range of 0 <α ≤ 1, the Lyapunov exponents spectrum, the largest Lyapunov The index λmax and the power spectra of single-layer double helix and double-layer double helix. On this basis, the hardware circuit is designed, the computer simulation and circuit experiment are carried out, and the experimental results