Middle periodic orbit and its application to chaos control

被引:0
|
作者
Yang, L [1 ]
Liu, ZR
Zheng, Y
机构
[1] Shanghai Univ, Dept Math, Shanghai 201800, Peoples R China
[2] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
[3] Yangzhou Univ, Dept Math, Jiangsu 225002, Peoples R China
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2002年 / 12卷 / 08期
关键词
chaos; chaos control; symbolic dynamics;
D O I
10.1142/S0218127402005534
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, a new method, by which any point in a chaotic attractor can be guided to any target periodic orbit, is proposed. The "middle" periodic orbit is used to lead an initial point in a chaotic attractor to a neighborhood of the target orbit, and then controlling chaos can be achieved by the improved OGY method. The time needed in the method using "middle" periodic orbit is less than that of the OGY method, and is inversely proportional to the square of the topological entropy of the given map. An example is used to illustrate the results.
引用
收藏
页码:1869 / 1876
页数:8
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