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提出一种能产生大小均匀多涡卷混沌吸引子的新方法。构造一个使蔡氏二极管伏安特性为多个分段线性的奇函数,找出该函数中平衡点电压与转折点电压之间定量关系的一种递推规律,从而可用递推的方法计算出各个平衡点和转折点的电压值,可产生具有多个涡卷的混沌吸引子。这种方法基于Shil’nikov定理和混沌吸引子的细胞模型。理论计算、计算机模拟和硬件实验结果三者完全吻合,由此证实了该方案的可行性。与Suykens等人给出的结果相比,本方法的特点是混沌吸引子中的涡卷大小均匀、数量明显增多,并且从理论上找到了其产生的一种普适规律。
A new method to generate uniform multi-scroll chaotic attractors is proposed. A volt - ampere characteristic of Chua ’s diode is considered as a piecewise linear odd function, and a recursive law of the quantitative relationship between the voltage at the equilibrium point and the break - point voltage in this function is found out so that each balance can be calculated by recursion The voltage values at points and inflection points can produce chaotic attractors with multiple scrolls. This method is based on the Shil’nikov theorem and the chaotic attractor cell model. The theoretical calculation, computer simulation and hardware experimental results are in good agreement with each other, which proves the feasibility of the scheme. Compared with the results given by Suykens et al., This method is characterized by a uniform volume of chaotic attractors and an appreciable increase in the number of coiled attractors, and a general law of its generation is theoretically found.