Synchronization in networks of spatially extended systems

被引：15

作者：

Filatova, Anastasiya E. ^{[1
]}

Hramov, Alexander E. ^{[1
]}

Koronovskii, Alexey A. ^{[1
]}

Boccaletti, Stefano ^{[2
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Fac Nonliner Proc, Saratov 410012, Russia

[2] CNR, Ist Sistemi Complessi, I-50019 Sesto Fiorentino, FI, Italy

来源：

CHAOS | 2008年 / 18卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1063/1.2940685

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Synchronization processes in networks of spatially extended dynamical systems are analytically and numerically studied. We focus on the relevant case of networks whose elements (or nodes) are spatially extended dynamical systems, with the nodes being connected with each other by scalar signals. The stability of the synchronous spatio-temporal state for a generic network is analytically assessed by means of an extension of the master stability function approach. We find an excellent agreement between the theoretical predictions and the data obtained by means of numerical calculations. The efficiency and reliability of this method is illustrated numerically with networks of beam-plasma chaotic systems (Pierce diodes). We discuss also how the revealed regularities are expected to take place in other relevant physical and biological circumstances. (C) 2008 American Institute of Physics.

引用

页数：6

共 50 条

[41] Master stability functions for synchronized coupled systems [J].

Pecora, LM ;

Carroll, TL .

PHYSICAL REVIEW LETTERS, 1998, 80 (10) :2109-2112

[42] SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].

PECORA, LM ;

CARROLL, TL .

PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824

[43] Limiting stable current in electron beams in the presence of ions [J].

Pierce, JR .

JOURNAL OF APPLIED PHYSICS, 1944, 15 (10) :721-726

[44] GENERALIZED SYNCHRONIZATION OF CHAOS IN DIRECTIONALLY COUPLED CHAOTIC SYSTEMS [J].

RULKOV, NF ;

SUSHCHIK, MM ;

TSIMRING, LS ;

ABARBANEL, HDI .

PHYSICAL REVIEW E, 1995, 51 (02) :980-994

[45] Chaotic dynamics of delayed feedback klystron oscillator and its control by external signal [J].

Shigaev, AM ;

Dmitriev, BS ;

Zharkov, YD ;

Ryskin, NM .

IEEE TRANSACTIONS ON ELECTRON DEVICES, 2005, 52 (05) :790-797

[46]

TRUBETSKOV AE, 2003, LECT MICROWAVE ELECT

[47]

Watts D. J., 1999, SMALL WORLDS DYNAMIC

[48] Collective dynamics of 'small-world' networks [J].

Watts, DJ ;

Strogatz, SH .

NATURE, 1998, 393 (6684) :440-442

[49]

York R. A., 1997, Active and Quasi-optical Arrays for Solid-state Power Combining

[50] Universality in the synchronization of weighted random networks [J].

Zhou, CS ;

Motter, AE ;

Kurths, J .

PHYSICAL REVIEW LETTERS, 2006, 96 (03)

← 1 2 3 4 5 →