Controlling the ultimate state of projective synchronization in chaotic systems of arbitrary dimension

被引：92

作者：

Xu, DL ^{[1
]}

Chee, CY ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Mech & Prod Engn, Singapore 639798, Singapore

来源：

PHYSICAL REVIEW E | 2002年 / 66卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.66.046218

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The ultimate state of projective synchronization is hardly predictable. A control algorithm is thus proposed to manipulate the synchronization in arbitrary dimension. The control law derived from the Lyapunov stability theory with the aid of slack variables is effective to any initial conditions. The method allows us to amplify and reduce the synchronized dynamics in any desired scale with tiny control inputs. Applications are illustrated for seven- and ten-dimensional chaotic systems.

引用

页码：5 / 046218

页数：5

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