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Studies on Variable Cross Feedback Method of Chaos Control to PO Reaction
Lü Ling**,Du Zeng,Luan Ling
Author NameAffiliationE-mail
Lü Ling** Department of PhysicsLiaoning Normal UniversityDalian 116029 lshdg@sina.com.cn 
Du Zeng Department of PhysicsLiaoning Normal UniversityDalian 116029  
Luan Ling Department of PhysicsLiaoning Normal UniversityDalian 116029  
Abstract:
The variable cross feedback(VCF)method is proposed to control the nonlinear chaos system. The control principle is introduced,and the Peroxidase-Oxidase(PO)system is taken as a typical example to demonstrate the effectiveness of this method. The dynamical behaviors of the PO system controlled using the VCF method are given by computer numerical simulation. The results show that the return map of the system can be changed into the finite isolated points from the assemblage of discrete points having regular distribution and structure by appropriately
Key words:  Peroxidase-Oxidase(PO)system,Cross feedback,Chao,Control,Periodic orbit
FundProject:
PO反应中混沌控制的变量交叉反馈方法研究
吕翎,杜增,栾玲
摘要:
设计了一种变量交叉反馈(VCF)方法控制非线性系统混沌.介绍了VCF方法的控制原理,并用此方法控制Peroxidase-Oxidase(PO)反应系统的混沌,以此验证其有效性.仿真模拟显示,通过恰当地选择控制系数m1、 m2,可以使受控系统的返回映像由具有一定分布形式和结构的离散点的集合转变为有限个点,功率谱也由连续谱转变为具有独立单峰的分立谱,从而使以[O2]和[NADH]的浓度作为反馈变量的受控系统的动力学性质由混沌态转变为周期态,周期态轨道的周期数为2n×3mp (n,m为整数).
关键词:  Peroxidase-Oxidase(PO)反应系统  交叉反馈  混沌  控制  周期轨道
DOI:10.1088/1674-0068/18/1/15-18
分类号: