Generalized synchronization in complex networks

被引：16

作者：

Koronovskii, A. A. ^{[1
]}

Moskalenko, O. I. ^{[1
]}

Hramov, A. E. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Saratov, Russia

来源：

TECHNICAL PHYSICS LETTERS | 2012年 / 38卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

CHAOTIC SYSTEMS;

D O I：

10.1134/S1063785012100215

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

The phenomenon of generalized synchronization (GS) in networks with a complex topology of links between elements (nodes) representing chaotic dynamical systems has been studied. It is shown that GS onset in these networks can be detected as the moment of transition of the second-order Lyapunov exponent from a positive to a negative value. The results of the analysis are confirmed by the nearest-neighbor method. It is established that the network topology significantly influences the GS development.

引用

页码：924 / 927

页数：4

共 16 条

[1] Generalized synchronization of chaos: The auxiliary system approach [J].

Abarbanel, HDI ;

Rulkov, NF ;

Sushchik, MM .

PHYSICAL REVIEW E, 1996, 53 (05) :4528-4535

[2]

[Anonymous], IJBC

[3] Complex networks: Structure and dynamics [J].

Boccaletti, S. ;

Latora, V. ;

Moreno, Y. ;

Chavez, M. ;

Hwang, D. -U. .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 424 (4-5) :175-308

[4] The synchronization of chaotic systems [J].

Boccaletti, S ;

Kurths, J ;

Osipov, G ;

Valladares, DL ;

Zhou, CS .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2) :1-101

[5] Synchronization is enhanced in weighted complex networks [J].

Chavez, M ;

Hwang, DU ;

Amann, A ;

Hentschel, HGE ;

Boccaletti, S .

PHYSICAL REVIEW LETTERS, 2005, 94 (21)

[6] Generalized synchronization: A modified system approach [J].

Hramov, AE ;

Koronovskii, AA .

PHYSICAL REVIEW E, 2005, 71 (06)

[7] Paths to globally generalized synchronization in scale-free networks [J].

Hung, Yao-Chen ;

Huang, Yu-Ting ;

Ho, Ming-Chung ;

Hu, Chin-Kun .

PHYSICAL REVIEW E, 2008, 77 (01)

[8] Mechanisms behind the generalized synchronization conditions [J].

Koronovskii, A. A. ;

Moskalenko, O. I. ;

Hramov, A. E. .

TECHNICAL PHYSICS, 2006, 51 (02) :143-150

[9] The influence of the coupling mutuality degree on the onset of various types of chaotic synchronization [J].

Koronovskii, A. A. ;

Moskalenko, O. I. ;

Shurygina, S. A. .

JOURNAL OF COMMUNICATIONS TECHNOLOGY AND ELECTRONICS, 2011, 56 (12) :1461-1470

[10] Appearance of generalized synchronization in mutually coupled beam-plasma systems [J].

Koronovskii, A. A. ;

Moskalenko, O. I. ;

Maksimenko, V. A. ;

Hramov, A. E. .

TECHNICAL PHYSICS LETTERS, 2011, 37 (07) :610-613

← 1 2 →