SYNCHRONIZATION OF COMPLEX NETWORK BASED ON THE THEORY OF GRAVITATIONAL FIELD

被引：3

作者：

Zha, Jindao ^{[1
]}

Li, Chunbiao ^{[2
]}

机构：

[1] Jiangsu Vocat Inst Commerce, Sch Informat Technol, Nanjing 211168, Jiangsu, Peoples R China

[2] Nanjing Univ Informat Sci & Technol, Sch Elect & Informat Engn, Nanjing 210044, Jiangsu, Peoples R China

来源：

ACTA PHYSICA POLONICA B | 2019年 / 50卷 / 01期

基金：

中国国家自然科学基金;

关键词：

ADAPTIVE SYNCHRONIZATION;

D O I：

10.5506/APhysPolB.50.87

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Based on the conception of gravitational field, the issue of synchronization of complex network turns to the interaction and motion of particles under a physical field. By the design of coupling factor based on velocity, the synchronization of complex network is obtained where the dynamics of those nodes may be discontinuous and different from each other. Unlike those common methods of synchronization, this new approach is not limited in any desired governing equation of motion. According to the idea of approximation, the conditions of network synchronization and the synchronous orbit equation in the gravitational field are pointed out. The speed of synchronization is positively related to the coefficient of gravity. Synchronization was obtained in complex network with 51 and 501 nodes of piecewise linear Chen systems, Sprott systems and Lorenz systems, which shows the effectiveness of the proposed method.

引用

页码：87 / 114

页数：28

共 21 条

[1]

Aubin J. P., 1984, THEORY COORDINATION

[2] Synchronization in small-world systems [J].

Barahona, M ;

Pecora, LM .

PHYSICAL REVIEW LETTERS, 2002, 89 (05) :054101/1-054101/4

[3] Generalized connection graph method for synchronization in asymmetrical networks [J].

Belykh, Igor ;

Belykh, Vladimir ;

Hasler, Martin .

PHYSICA D-NONLINEAR PHENOMENA, 2006, 224 (1-2) :42-51

[4] Connection graph stability method for synchronized coupled chaotic systems [J].

Belykh, VN ;

Belykh, IV ;

Hasler, M .

PHYSICA D-NONLINEAR PHENOMENA, 2004, 195 (1-2) :159-187

[5] Bidirectionally coupled synchronization of the generalized Lorenz systems [J].

Chen, Juan ;

Lu, Jun-an ;

Wu, Xiaoqun .

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2011, 24 (03) :433-448

[6]

Chen TP., 2013, THEORY COORDINATION

[7]

Davy J.L., 1972, B AUST MATH SOC, P379

[8] On synchronized regions of discrete-time complex dynamical networks [J].

Duan, Zhisheng ;

Chen, Guanrong .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (20)

[9]

Filippov A. F., DIFF EQUAT+, V18

[10] Synchronization of impulsively coupled systems [J].

Han, Xiuping ;

Lu, Jun-An ;

Wu, Xiaoqun .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (05) :1539-1549

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