Synchronization in coupled map lattices with small-world delayed interactions

被引：30

作者：

Li, CG ^{[1
]}

Li, SW

Liao, XF

Yu, JB

机构：

[1] Univ Elect Sci & Technol China, Coll Elect Engn, Inst Elect Syst, Chengdu 610054, Peoples R China

[2] SW Univ Finance & Econ, Dept Math, Chengdu 610000, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2004年 / 335卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

small world network; synchronization; delay;

D O I：

10.1016/j.physa.2003.11.018

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the synchronization of coupled map lattices with small-world interactions and coupling delays in this paper. A stability criterion for the synchronized state is derived. Numerical examples are presented to demonstrate the correctness of our theoretical result. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：365 / 370

页数：6

共 13 条

[1]

Bhattacharyya S., 1995, ROBUST CONTROL PARAM

[2] Synchronous chaos in coupled map lattices with small-world interactions [J].

Gade, PM ;

Hu, CK .

PHYSICAL REVIEW E, 2000, 62 (05) :6409-6413

[3] COUPLED MAPS ON TREES [J].

GADE, PM ;

CERDEIRA, HA ;

RAMASWAMY, R .

PHYSICAL REVIEW E, 1995, 52 (03) :2478-2485

[4] Synchronization and cluster periodic solutions in globally coupled maps [J].

Gelover-Santiago, AL ;

Lima, R ;

Martínez-Mekler, G .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2000, 283 (1-2) :131-135

[5] GLOBALLY COUPLED CHAOS VIOLATES THE LAW OF LARGE NUMBERS BUT NOT THE CENTRAL-LIMIT-THEOREM [J].

KANEKO, K .

PHYSICAL REVIEW LETTERS, 1990, 65 (12) :1391-1394

[6]

Kaneko K., 1993, Theory and Applications of Coupled Map Lattices

[7] Decentralized delayed-feedback control of a one-way coupled ring map lattice [J].

Konishi, K ;

Kokame, H .

PHYSICA D, 1999, 127 (1-2) :1-12

[8]

LI C, IN PRESS PHYSICA A

[9] Synchronization in an array of globally coupled maps with delayed interactions [J].

Masoller, C ;

Martí, AC ;

Zanette, DH .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 325 (1-2) :186-191

[10]

Minc H., 1988, Nonnegative Matrices

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