Synchronization Analysis on Two-Layer Networks of Fractional-Order Systems: IntraIayer and InterIayer Synchronization

被引：31

作者：

Zhang, Xia ^{[1
]}

Tang, Longkun ^{[1
]}

Lu, Jinhu ^{[2
]}

机构：

[1] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China

[2] Beihang Univ, Sch Automat Sci & Elect Engn, Beijing Adv Innovat Ctr Big Data & Brain Comp, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2020年 / 67卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Synchronization; Oscillators; Couplings; Linear matrix inequalities; Multiplexing; Lyapunov methods; Network topology; Intra-layer synchronization; inter-layer synchronization; multilayer networks; fractional order; Lyapunov stability method; COMPLEX DYNAMICAL NETWORKS; DIFFERENTIAL-EQUATIONS; MULTIAGENT SYSTEMS; STABILITY; MODELS; CHAOS;

D O I：

10.1109/TCSI.2020.2971608

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The paper focuses on a two-layer network composed of fractional-order oscillators, and investigates the mesoscale collective dynamical behaviors of the network, i.e., intra-layer synchronization and inter-layer synchronization. Specifically, the necessary constraint conditions are firstly presented for achieving intra-layer synchronization and inter-layer synchronization. With the constraints, based on the Lyapunov stability theory and the fractional-order system theory, sufficient conditions for inter-layer synchronization and intra-layer synchronization are obtained respectively. Interestingly, the conditions cover the basic synchronization criteria bridging the relationship of interacting between the topologies, inner coupling functions and coupling strengthes of the intra-layer and the inter-layer. Finally, numerical examples are provided to further verify the theoretical results.

引用

页码：2397 / 2408

页数：12

共 65 条

[1] Fractional-order Wien-bridge oscillator [J].

Ahmad, W ;

El-khazali, R ;

Elwakil, AS .

ELECTRONICS LETTERS, 2001, 37 (18) :1110-1112

[2] On fractional order differential equations model for nonlocal epidemics [J].

Ahmed, E. ;

Elgazzar, A. S. .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 379 (02) :607-614

[3] Introduction to Focus Issue: Mesoscales in Complex Networks [J].

Almendral, Juan A. ;

Criado, Regino ;

Leyva, Inmaculada ;

Buldu, Javier M. ;

Sendina-Nadal, Irene .

CHAOS, 2011, 21 (01)

[4] Chaos control and synchronization of fractional order delay-varying computer virus propagation model [J].

Ansari, Moien Ahmad ;

Arora, Deepak ;

Ansari, Sana Parveen .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (05) :1197-1205

[5] Synchronization in complex networks [J].

Arenas, Alex ;

Diaz-Guilera, Albert ;

Kurths, Jurgen ;

Moreno, Yamir ;

Zhou, Changsong .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2008, 469 (03) :93-153

[6] Mesoscale and clusters of synchrony in networks of bursting neurons [J].

Belykh, Igor ;

Hasler, Martin .

CHAOS, 2011, 21 (01)

[7] 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

[8] The structure and dynamics of multilayer networks [J].

Boccaletti, S. ;

Bianconi, G. ;

Criado, R. ;

del Genio, C. I. ;

Gomez-Gardenes, J. ;

Romance, M. ;

Sendina-Nadal, I. ;

Wang, Z. ;

Zanin, M. .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2014, 544 (01) :1-122

[9] Suppressing cascades of load in interdependent networks [J].

Brummitt, Charles D. ;

D'Souza, Raissa M. ;

Leicht, E. A. .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2012, 109 (12) :E680-E689

[10] Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks [J].

Chen, Diyi ;

Zhang, Runfan ;

Liu, Xinzhi ;

Ma, Xiaoyi .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (12) :4105-4121

← 1 2 3 4 5 6 7 →