A necessary condition of projective synchronization in discrete-time systems of arbitrary dimensions

被引：31

作者：

Xu, DL

Chee, CY

Li, CP

机构：

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

[2] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2004年 / 22卷 / 01期

关键词：

D O I：

10.1016/j.chaos.2004.01.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The necessary condition of projective synchronization in discrete-time systems of arbitrary dimensions is investigated. We found that the determinant of the multiplication of Jacobian matrices of the uncoupled sub-system tends to zero when projective synchronization happens. This finding also provides a theoretical explanation why the conditional Lyapunov exponent becomes null in projective synchronization, observed in the early studies. (C) 2004 Elsevier Ltd. All rights reserved.

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收藏

页码：175 / 180

页数：6

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