一类多折叠环面多涡卷混沌吸引子的仿真研究

通过构造一个新的非线性函数，研究一类多折叠环面多涡卷混沌产生器.这种混沌产生器的主要特征是随着自然数n的增加，能产生大小相等、均匀分布的2n个折叠环面混沌吸引子和大小相等、均匀分布的2n+1个涡卷混沌吸引子，且折叠环面混沌吸引子与涡卷混沌吸引子之间相互间置，最左边和最右边均为涡卷混沌吸引子.基于虚拟电子实验室EWB软件，设计具体的电路，进行了仿真实验验证. 关键词： 折叠环面混沌吸引子 多涡卷混沌吸引子 涡卷

Simulation of a family of multi-folded torus and multi-scroll chaotic attractors

A new type of multi-folded torus and multi-scroll chaotic generator is studied by constructing a new nonlinear function. With the natural number n increasing, the characteristic of this chaotic system is that it can generate the 2n-folded torus and 2n 1-scroll chaotic attractors which are of the same size and evenly distributed, and the folded torus chaotic attractors alternated with the scroll attractors. The leaftmost and the rightmost of this chaotic system are scroll attractors. Finally, the circuitry is designed and simulated on Electronics Workbench (EWB).