Synchronization of linearly coupled networks of deterministic ratchets

Pingli Lu; Ying Yang; Lin Huang

doi:10.1016/j.physleta.2008.03.008

Synchronization of linearly coupled networks of deterministic ratchets

Pingli Lu^*, Ying Yang, Lin Huang

^*Corresponding author for this work

Peking University

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

This Letter focuses on the synchronization in a class of dynamical complex networks with each node being a deterministic ratchet. In virtue of the technique derived from pendulum-like nonlinear analytic theory and Kalman-Yakubovich-Popov (KYP) lemma, simple linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization of such networks. An interesting conclusion is reached that the stability of synchronization in the coupled whole N-dimensional networks can be converted into that of the simplest 2-dimensional space.

Original language	English
Pages (from-to)	3978-3985
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	22
DOIs	https://doi.org/10.1016/j.physleta.2008.03.008
Publication status	Published - 26 May 2008
Externally published	Yes

Keywords

Deterministic ratchets
Dynamical complex networks
Linear matrix inequality
Pendulum-like system
Synchronization

Access to Document

10.1016/j.physleta.2008.03.008

Cite this

@article{34c9e39705644979b2030678c5d04ee9,

title = "Synchronization of linearly coupled networks of deterministic ratchets",

abstract = "This Letter focuses on the synchronization in a class of dynamical complex networks with each node being a deterministic ratchet. In virtue of the technique derived from pendulum-like nonlinear analytic theory and Kalman-Yakubovich-Popov (KYP) lemma, simple linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization of such networks. An interesting conclusion is reached that the stability of synchronization in the coupled whole N-dimensional networks can be converted into that of the simplest 2-dimensional space.",

keywords = "Deterministic ratchets, Dynamical complex networks, Linear matrix inequality, Pendulum-like system, Synchronization",

author = "Pingli Lu and Ying Yang and Lin Huang",

year = "2008",

month = may,

day = "26",

doi = "10.1016/j.physleta.2008.03.008",

language = "English",

volume = "372",

pages = "3978--3985",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "22",

}

TY - JOUR

T1 - Synchronization of linearly coupled networks of deterministic ratchets

AU - Lu, Pingli

AU - Yang, Ying

AU - Huang, Lin

PY - 2008/5/26

Y1 - 2008/5/26

N2 - This Letter focuses on the synchronization in a class of dynamical complex networks with each node being a deterministic ratchet. In virtue of the technique derived from pendulum-like nonlinear analytic theory and Kalman-Yakubovich-Popov (KYP) lemma, simple linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization of such networks. An interesting conclusion is reached that the stability of synchronization in the coupled whole N-dimensional networks can be converted into that of the simplest 2-dimensional space.

AB - This Letter focuses on the synchronization in a class of dynamical complex networks with each node being a deterministic ratchet. In virtue of the technique derived from pendulum-like nonlinear analytic theory and Kalman-Yakubovich-Popov (KYP) lemma, simple linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization of such networks. An interesting conclusion is reached that the stability of synchronization in the coupled whole N-dimensional networks can be converted into that of the simplest 2-dimensional space.

KW - Deterministic ratchets

KW - Dynamical complex networks

KW - Linear matrix inequality

KW - Pendulum-like system

KW - Synchronization

UR - http://www.scopus.com/inward/record.url?scp=43049179856&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2008.03.008

DO - 10.1016/j.physleta.2008.03.008

M3 - Article

AN - SCOPUS:43049179856

SN - 0375-9601

VL - 372

SP - 3978

EP - 3985

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 22

ER -

Synchronization of linearly coupled networks of deterministic ratchets

Abstract

Keywords

Access to Document

Other files and links

Cite this