一类非线性动力系统的设计与电路实现磁

摘要

An approach is proposed for generating a kind of nonlinear dynamic system - -fractional-order multi-wing chaotic attractors . Based on a fractional -order linear differential system ,by introducing the nonlinear state feedback controller ,various fractional -order multi-wing chaotic attractors can be generated .An improved module -based unified circuit is designed for realizing fractional -order 6- ,8- ,10-wing chaotic attractor ,and the experimental results are also given ,which is in good agreement with the numerical simulation .%　　提出了一类非线性动力系统———分数阶多翅膀混沌系统的理论设计和电路实现方法。基于一个分数阶线性系统,通过设计一个非线性状态反馈控制器,能产生不同分数阶的多翅膀混沌吸引子。以分数阶6-,8-,10-翅膀混沌系统的产生为例,进行了改进型模块化电路设计,并给出了实验结果,证实了所设计方法的有效性和可行性。