Hopf bifurcation and chaos control in a new chaotic system via hybrid control strategy
Hopf bifurcation and chaos control in a new chaotic system via hybrid control strategy
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基于混合控制策略的新混沌系统中的 Hopf 分岔和混沌控制
DOI：
10.1016/j.cjph.2016.12.002
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发表时间：
2017-02-01
影响因子：
5
通讯作者：
Yuan, Z. Z.
中科院分区：
文献类型：
--
作者：
Cai, P.;Yuan, Z. Z.
本文研究了一类新的混沌系统的Hopf分岔与混沌控制问题。提出了一种将状态反馈与参数控制相结合的混合控制策略。理论分析表明，混合控制可以改变系统的Hopf分岔临界值.同时，该控制策略也能控制混沌状态。利用规范形理论和中心流形定理确定了分支周期解的方向和稳定性。最后，通过数值仿真验证了主要理论结果的有效性. (C)2016中华民国物理学会（台湾）。Elsevier B.V.出版，保留所有权利。
In this paper, we investigate the problem of Hopf bifurcation and chaos control in a new chaotic system. A hybrid control strategy using both state feedback and parameter control is proposed. Theoretical analysis shows that the Hopf bifurcation critical value can be changed via hybrid control. Meanwhile, this control strategy can also control the chaos state. The direction and stability of bifurcating periodic solutions are determined by the normal form theory and the center manifold theorem. Finally, numerical simulations are carried out to illustrate the effectiveness of the main theoretical results. (C) 2016 The Physical Society of the Republic of China (Taiwan). Published by Elsevier B.V. All rights reserved.