Stabilization of arbitrary unstable periodic orbits of nonlinear systems

被引：0
作者：
Grosu, I [1 ]
机构：
[1] Univ Med & Pharm Gr T Popa, Iasi, Romania
来源：
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS | 2003年 / 10卷 / 06期
关键词：
chaos; synchronization; unstable periodic orbits; stabilization of UPOs; delay systems;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new algorithm for stabilization of unstable periodic orbits (UPOs) is proposed. It is based on the open-plus-closed-loop (OPCL) master-slave synchronization method [15]. The algorithm can be applied to continuous systems and delay systems, as well as discrete systems and slowly nonstationary discrete systems. Numerical results are given for Lorenz, Rossler, Mackay-Glass, Ikeda and nonstationary logistic systems. Any UPO of a low or high-dimensional system can be robustly stabilized. Also, the algorithm offers a periodic driving in order to obtain a periodic behavior of a desired period. The method is general and easy to use.
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收藏
页码：853 / 863
页数：11
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