Anti-control of Hopf bifurcation for Chen's system through washout filters
Anti-control of Hopf bifurcation for Chen's system through washout filters
复制标题
DOI：
10.1016/j.neucom.2010.06.016
复制
发表时间：
2010-10-01
期刊：
影响因子：
6
通讯作者：
Cheng, Zunshui
中科院分区：
文献类型：
--
作者：
Cheng, Zunshui
本文研究了Chen‘s系统的反控制分支问题，即通过适当的控制，在期望的位置产生具有理想性质的分支。为了产生Hopf分叉，设计了Washout-Filter辅助的动态反馈控制律。通过选择合适的控制参数，我们研究了系统的Hopf分支的存在性。给出了判定分支周期解的方向和稳定性的条件。我们还发现，这种控制律可以应用于Chen系统，以达到控制和反控制混沌吸引子的目的。最后，给出了一些数值模拟，验证了所得结果的有效性。(C)2010爱思唯尔B.V.保留所有权利。
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.