一类Arneodo动力系统的混沌控制(英文)  

Chaos control in an Arneodo dynamical system

作　　者：徐昌进[1] 李培峦[2] 陆琳[1] 

机构地区：[1]贵州财经大学数学与统计学院,贵州省经济系统仿真重点实验室,贵州贵阳550004 [2]河南科技大学数学与统计学院,河南洛阳471003

出　　处：《安徽大学学报（自然科学版）》2014年第2期15-22,共8页Journal of Anhui University(Natural Science Edition)

基　　金：Supported by National Natural Science Foundation of China(11261010);Soft Science and Technology Program of Guizhou Province(2011LKC2030);Natural Science and Technology Foundation of Guizhou Province(J[2012]2100);Governor Foundation of Guizhou Province([2012]53);Natural Science Innovation Team Project of Guizhou Province([2013]14);Natural Science and Technology Foundation of Guizhou Province(2014);Doctoral Foundation of Guizhou University of Finance and Economics(2010)

摘　　要：研究一类Arneodo混沌动力系统的混沌控制问题.运用时滞反馈控制方法抑制混沌到不稳定的平衡点或者不稳定的周期轨,分析了系统的平衡点的稳定性和局部Hopf分支,数值模拟验证了所采用的时滞反馈控制方法控制混沌的有效性.最后给出主要结论.This paper investigated the problem of controlling chaos in Arneodo chaotic dynamical system.Time-delayed feedback control method was applied to suppress chaos to unstable equilibria or unstable periodic orbits.The stability of the equilibriums and local Hopf bifurcation of the system were analyzed.Some numerical simulations were presented to show the effectiveness of the timedelayed feedback control method.Finally,main conclusions were given.

关 键 词：Arneodo系统 混沌 稳定性 HOPF分支 周期解 

分 类 号：O175.12[理学—数学] O415.6[理学—基础数学]