Abstract: By choosing appropriate unstable linear system and building a new nonlinear function, a way to produce multi-scroll chaotic system based on shift transformation is proposed. Actual circuit of the system is designed and values of the circuit component are determined based on the numerical simulations. For example, circuit simulation of a three-scroll chaotic system is carried out using Multisim, then the circuit board is welded and hardware experiment is carried out. Various simulation and experiment results show the feasibility of the method.

Key words: multi-scroll chaotic system, hardware implementation, shift transformation

摘要： 通过选取合适的不稳定线性系统，构建新的非线性函数，提出了一种基于平移变换的能产生任意偶数个和奇数个吸引子的多涡卷混沌系统。在数值仿真的基础上设计该系统的实际电路并确定电路元件的参数值，以三涡卷混沌系统为例，利用Multisim进行了电路仿真，焊接电路板进行了硬件实验。各种仿真和实验结果均表明了该方法的有效性。

关键词: 多涡卷混沌系统, 电路实现, 平移变换