Anti-control of Hopf bifurcation for Chen's system through washout filters

被引：34
作者：
Cheng, Zunshui [1 ,2 ]
机构：
[1] Qingdao Univ Sci & Technol, Sch Math & Phys, Qingdao 266061, Peoples R China
[2] Southeast Univ, Sch Automat, Nanjing 210096, Peoples R China
来源：
NEUROCOMPUTING | 2010年 / 73卷 / 16-18期
基金：
中国国家自然科学基金;
关键词：
Hopf bifurcation; Periodic solution; Chen's system; Anti-controlling bifurcations; NEURAL-NETWORK MODEL; DISTRIBUTED DELAYS; CHAOS; STABILITY; EQUATION;
D O I：
10.1016/j.neucom.2010.06.016
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we consider the problem of anti-controlling bifurcations for Chen's system, that is, a certain bifurcation is created at a desired location with preferred properties by appropriate control. Washout-filter-aided dynamic feedback control laws are developed for the creation of Hopf bifurcations. By choosing appropriate control parameter, we investigate the existence of Hopf bifurcation. Conditions are given to determine the directions and stabilities of the bifurcating periodic solutions. We also find that this control laws can be applied to Chen's system for the purpose of control and anti-control of chaotic attractor. Finally, some numerical simulations are given to illustrate the effectiveness of the results found. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：3139 / 3146
页数：8
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