加控制器的预估-校正算法在分数阶Chen混沌系统中的实现  

A Predictor-Corrector Approach with Controller for the Fractional Order Used in Chen Chaotic System

作　　者：冯颖凌[1] 王建宏[1] 周智[1] 吕效国[1] 

机构地区：[1]南通大学理学院,江苏南通226009

出　　处：《数学的实践与认识》2015年第23期255-259,共5页Mathematics in Practice and Theory

基　　金：南通大学自然科学基金(11Z057)

摘　　要：讨论了分数阶预估-校正算法,并选定了对Chen混沌系统进行仿真研究.分数阶Chen混沌系统在一定的初始条件下,系统为混沌的并且仍然呈现出丰富和复杂的分数阶混沌动力学行为.在分数阶预估-校正法的基础上,用分段二次函数对Chen混沌系统方程施加控制器,使Chen混沌系统能够渐进稳定到平衡点.最后在MATLAB软件上进行仿真,得到分数阶Chen混沌系统的数值仿真稳定相图.In this paper we discuss a Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations. We select the simulation research on Chen chaotic system.First, discuss Under certain initial conditions, the fractional Chen chaotic system is chaotic and still present a rich and complex fractional order chaotic dynamics behavior. With the Predictor-Corrector Approach, we use controller of piecewise quadratic function on Chen chaotic system to obtain the equilibrium point. By programming in MATLAB, we get the stable phase diagram of fractional order Chen chaotic systems.

关 键 词：Chen混沌系统 预估校正 分段二次函数 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]