分数阶Qi混沌系统的动力学分析及DSP实现  

Dynamics Analysis and DSP Implementation of Fractional-order Qi Chaotic System

作　　者：雷腾飞 王艳玲 苏敏 陈晓霞[2] 

机构地区：[1]齐鲁理工学院电气信息工程学院,山东济南250200 [2]河北工业大学理学院,天津300401

出　　处：《温州大学学报（自然科学版）》2018年第1期32-39,共8页Journal of Wenzhou University(Natural Science Edition)

基　　金：山东省自然科学基金(ZR2017PA008);济南科学技术计划项目(16JK088);齐鲁理工学院科技计划项目(07qlk0012)

摘　　要：针对一类分数阶Qi混沌系统,运用分数阶微分常用的方法——Adomian分解法,从分数阶Qi系统的分岔图、SE复杂度、C0复杂度、混沌相图等数值仿真分析了0.95阶次Qi混沌系统复杂的动力学特性.基于Adomian分解法,采用高频率运算数字芯片TMS320F28335设计程序以及外围的基本硬件电路,实现了分数阶Qi混沌系统.通过示波器得出DSP数字电路输出结果与理论仿真结果具有一致性,从DSP实现方面揭示了分数阶Qi系统的混沌的存在性.The fractional-order Qi chaotic system based on decomposition method of Adomian is studied in this paper. The complicated dynamic properties of 0.95 order Qi chaotic system are analyzed via the numerical simulation of fractional-order Qi bifurcation diagram, SE complexity, C0 complexity and chaotic phase space. And the fractional-order Qi chaotic system is implemented by means of TMS320F28335, a high frequency digital chip which is used to design procedure as well as the peripheral hardware circuit. The experimental results through the oscilloscope that the result of DSP digital circuit output has consistency with the theoretical simulation result, which reveals the existence of fractional-order Qi chaotic system from the implement of the DSP （Digital Signal Processor）.

关 键 词：分数阶Qi混沌系统 ADOMIAN分解法 SE复杂度 C0复杂度 数字系统 

分 类 号：O415.5[理学—理论物理]