Stability criterion for projective synchronization in three-dimensional chaotic systems

被引：81

作者：

Li, ZG ^{[1
]}

Xu, DL ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Mech & Prod Engn, Ctr Adv Numer Engn Simulat, Singapore 639798, Singapore

来源：

PHYSICS LETTERS A | 2001年 / 282卷 / 03期

关键词：

D O I：

10.1016/S0375-9601(01)00185-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Projective synchronization, in which the state vectors synchronize up to a scaling factor, has recently been observed in coupled partially linear chaotic systems (Lorenz system) under certain conditions. In this Letter, we present a stability criterion that guarantees the occurrence of the projective synchronization in three-dimensional systems. By applying the criterion to two typical partially linear systems (Lorenz and disk dynamo), it shows that only some parameters play the key role in influencing the stability. Projective synchronization only happens when sigma > -1 for the Lorenz and mu > 0 for the disk dynamo. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：175 / 179

页数：5

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