Effects of coupling-frequency correlations on synchronization of complete graphs

Liuhua Zhu; Liang Tian; Chenping Zhu; Daning Shi

doi:10.1016/j.physleta.2013.08.012

Effects of coupling-frequency correlations on synchronization of complete graphs

Liuhua Zhu, Liang Tian^*, Chenping Zhu, Daning Shi^*

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Journal article › peer-review

6 Citations (Scopus)

Abstract

We introduce a model to study the effects of coupling-frequency correlations on synchronization in complete graphs. When the linear correlation is adopted, we find a symmetric network where frequencies of the oscillators are distributed in a bipolar way, having values either -1 or +1. In the network, the oscillators either all drift or all phase-locked. The behavior can separate qualitatively two other types of correlations, where slow and fast oscillators can remain unsynchronized respectively. It is obvious that the weighting exponent plays an important role. Besides, the numerical simulation results indicate that the linear correlation has the best performance in synchronization ability among three types of correlations in view of the average node cost.

Original language	English
Pages (from-to)	2749-2753
Number of pages	5
Journal	Physics Letters A
Volume	377
Issue number	39
Early online date	22 Aug 2013
DOIs	https://doi.org/10.1016/j.physleta.2013.08.012
Publication status	Published - Nov 2013

Scopus Subject Areas

Physics and Astronomy(all)

User-Defined Keywords

Nonlinear coupling
Synchronization
Phase oscillator

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10.1016/j.physleta.2013.08.012

Cite this

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title = "Effects of coupling-frequency correlations on synchronization of complete graphs",

abstract = "We introduce a model to study the effects of coupling-frequency correlations on synchronization in complete graphs. When the linear correlation is adopted, we find a symmetric network where frequencies of the oscillators are distributed in a bipolar way, having values either -1 or +1. In the network, the oscillators either all drift or all phase-locked. The behavior can separate qualitatively two other types of correlations, where slow and fast oscillators can remain unsynchronized respectively. It is obvious that the weighting exponent plays an important role. Besides, the numerical simulation results indicate that the linear correlation has the best performance in synchronization ability among three types of correlations in view of the average node cost.",

keywords = "Nonlinear coupling, Synchronization, Phase oscillator",

author = "Liuhua Zhu and Liang Tian and Chenping Zhu and Daning Shi",

note = "Funding Information: We are grateful to Prof. Xiang Li and Dr. Per Sebastian Skardala for many helpful discussions. This work was supported by the National Natural Science Foundation of China (Grant No. 11374159 ), the Fundamental Research Funds for the Central Universities (No. NZ2012312 ), and the Jiangsu Planned Projects for Postdoctoral Research Funds (No. 1202079C ). Support from CNNSF (China, Grant Nos. 11162019 and 11047003 ) is also acknowledged.",

year = "2013",

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doi = "10.1016/j.physleta.2013.08.012",

language = "English",

volume = "377",

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journal = "Physics Letters A",

issn = "0375-9601",

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TY - JOUR

T1 - Effects of coupling-frequency correlations on synchronization of complete graphs

AU - Zhu, Liuhua

AU - Tian, Liang

AU - Zhu, Chenping

AU - Shi, Daning

N1 - Funding Information: We are grateful to Prof. Xiang Li and Dr. Per Sebastian Skardala for many helpful discussions. This work was supported by the National Natural Science Foundation of China (Grant No. 11374159 ), the Fundamental Research Funds for the Central Universities (No. NZ2012312 ), and the Jiangsu Planned Projects for Postdoctoral Research Funds (No. 1202079C ). Support from CNNSF (China, Grant Nos. 11162019 and 11047003 ) is also acknowledged.

PY - 2013/11

Y1 - 2013/11

N2 - We introduce a model to study the effects of coupling-frequency correlations on synchronization in complete graphs. When the linear correlation is adopted, we find a symmetric network where frequencies of the oscillators are distributed in a bipolar way, having values either -1 or +1. In the network, the oscillators either all drift or all phase-locked. The behavior can separate qualitatively two other types of correlations, where slow and fast oscillators can remain unsynchronized respectively. It is obvious that the weighting exponent plays an important role. Besides, the numerical simulation results indicate that the linear correlation has the best performance in synchronization ability among three types of correlations in view of the average node cost.

AB - We introduce a model to study the effects of coupling-frequency correlations on synchronization in complete graphs. When the linear correlation is adopted, we find a symmetric network where frequencies of the oscillators are distributed in a bipolar way, having values either -1 or +1. In the network, the oscillators either all drift or all phase-locked. The behavior can separate qualitatively two other types of correlations, where slow and fast oscillators can remain unsynchronized respectively. It is obvious that the weighting exponent plays an important role. Besides, the numerical simulation results indicate that the linear correlation has the best performance in synchronization ability among three types of correlations in view of the average node cost.

KW - Nonlinear coupling

KW - Synchronization

KW - Phase oscillator

UR - http://www.scopus.com/inward/record.url?scp=84884535026&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2013.08.012

DO - 10.1016/j.physleta.2013.08.012

M3 - Journal article

AN - SCOPUS:84884535026

SN - 0375-9601

VL - 377

SP - 2749

EP - 2753

JO - Physics Letters A

JF - Physics Letters A

IS - 39

ER -

Effects of coupling-frequency correlations on synchronization of complete graphs

Abstract

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