A multi-dimensional scheme for controlling unstable periodic orbits in chaotic systems

被引：1
|
作者：
Chakravarthy, N [1 ]
Tsakalis, K
Iasemidis, LD
Spanias, A
机构：
[1] Arizona State Univ, Dept Elect Engn, Tempe, AZ 85287 USA
[2] Arizona State Univ, Harrington Dept Bioengn, Tempe, AZ 85287 USA
来源：
PHYSICS LETTERS A | 2006年 / 349卷 / 1-4期
关键词：
chaos; unstable periodic orbit; multi-dimensional control;
D O I：
10.1016/j.physleta.2005.08.087
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The control of unstable periodic orbits (UPOs) in chaotic systems is herein investigated by applying a weighted sum of external periodic inputs. These inputs are drawn from a "generic" set of basis functions and used to stabilize different UPOs in a chaotic attractor. All parameters associated with this multi-dimensional control scheme are experimentally computed without a priori knowledge of the system, thus making it easily applicable to a wide variety of dynamical systems. The performance of this control scheme is illustrated with several well-established chaotic systems. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：116 / 127
页数：12
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