分数阶混沌系统的动态仿真方法研究  

A Dynamic Simulation Method for Fractional-order Chaotic Systems

作　　者：孙克辉[1] 任健[1] 尚芳[1] 

机构地区：[1]中南大学物理科学与技术学院

出　　处：《计算机仿真》2008年第6期312-314,共3页Computer Simulation

摘　　要：分数阶混沌系统是非线性科学的研究热点。由于目前研究分数阶混沌的理论和硬件实验分析方法比较烦琐,提出了分数阶混沌系统的动态仿真方法。通过利用分数阶微分算子及其复域表示方式设计分数阶微分算子仿真模块,根据分数阶系统方程构建分数阶混沌系统仿真模型,可动态地观察系统变量的演化规律,并利用仿真过程的输出数据分析分数阶混沌系统的动力学特性。研究结果表明分数阶混沌系统的动态仿真方法是一种有效的分析方法。Fractional -order chaotic system is the hot topic in the field of nonlinear study. Due to the troubles in studying fractional - order chaotic systems at present, a dynamic simulation method of fractional - order chaotic systems is proposed. Based on fractional - order differential operators and the complex domain representation method, a fractional -order differential operator simulation model is designed, and according to the system equation, the fractional - order chaotic system simulation model is set up. The evolvement of system variables can be observed directly, and the dynamic characters of fractional -order chaotic system can be analysed by using output simulation data. The results show that the dynamic simulation method of fractional - order chaotic systems is efficient.

关 键 词：分数阶微分 混沌 动态仿真 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]