一类n涡卷混沌发生器

An n-scroll chaos generator based on Chua's circuit

在变型蔡氏电路的基础上,对一类n涡卷混沌信号发生器进行深入研究,分析该蔡氏电路里非线性部分的分段线性特性,将3段分段特性扩展到多段分段特性,建立系统的数学模型并做出仿真。仿真结果达到了预期产生n涡卷混沌信号的目的;得出分段特性的平衡点随涡卷数目变化的规律;总结产生n涡卷吸引子的通用定理并进行了讨论,证实将3段分段特性扩展到多段分段特性从而获得n涡卷混沌信号的方法是可行的。

A family of n scroll chaos generators based on a modified Chua＇s circuit was studied. The characteristics of the piecewise linearity in nonlinear parts of themodified Chua＇s circuit were investigated. Three pieces of nonlinear parts were modified and extended to multiple pieces of nonlinear parts, and a mathematical model of the generator was built. This study realizes the generation of an n-scroll chaotic signal. The relationship between equilibrium points and the number of scrolls was obtained. A general theorem for generation of an n-scroll chaos attractors was presented and discussed. This method, which can extend the three pieces to multi-pieces linearity to generate an n-scroll chaotic signal, is feasible for real applications.