用时滞和阶跃序列组合生成网格多涡卷蔡氏混沌吸引子

提出了在规范型蔡氏电路中生成两种不同类型网格多涡卷混沌吸引子的新方法.与现有文献报道仅构造同一类型非线性函数产生多涡卷混沌吸引子的主要差别在于，这种方法能在一个蔡氏电路中同时构造时滞序列和阶跃序列，并通过其不同的组合方式来扩展相空间中指标2的鞍焦平衡点，从而生成两种不同类型的网格多涡卷混沌吸引子.理论分析、数值模拟和电路实验结果证实了该方法的可行性. 关键词： 规范型蔡氏电路 网格多涡卷混沌吸引子 时滞序列和阶跃序列 电路实现

Generation of grid multi-scroll Chua's chaotic attractors with combination of hysteresis and step series

In this paper, a new approach to generating two types of grid multi-scroll chaotic attractors from canonical Chua’s circuit is reported. Different from the techniques reported in current literature for generating multi-scroll chaotic attractors by constructing only the same type of non-linear function, the present approach constructs both hysteresis series and step series in the same Chua's circuit, and extends the saddle-focus equilibrium points with index-2 in phase space by combining both series in different ways, which makes it possible to create two kinds of grid multi-scroll chaotic attractors. The effectiveness of this method has been verified by theoretical analysis, numerical simulation and circuit implementation.