Random temporal connections promote network synchronization

Shijie Zhou; Yao Guo; Maoxing Liu; Ying Cheng Lai; Wei Lin

doi:10.1103/PhysRevE.100.032302

Random temporal connections promote network synchronization

Shijie Zhou, Yao Guo, Maoxing Liu, Ying Cheng Lai, Wei Lin

Engineering, Ira A. Fulton Schools of (IAFSE)

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

15 Scopus citations

Abstract

We report a phenomenon of collective dynamics on discrete-time complex networks: a random temporal interaction matrix even of zero or/and small average is able to significantly enhance synchronization with probability one. According to current knowledge, there is no verifiably sufficient criterion for the phenomenon. We use the standard method of synchronization analytics and the theory of stochastic processes to establish a criterion, by which we rigorously and accurately depict how synchronization occurring with probability one is affected by the statistical characteristics of the random temporal connections such as the strength and topology of the connections as well as their probability distributions. We also illustrate the enhancement phenomenon using physical and biological complex dynamical networks.

Original language	English (US)
Article number	032302
Journal	Physical Review E
Volume	100
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.100.032302
State	Published - Sep 4 2019

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.100.032302

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title = "Random temporal connections promote network synchronization",

abstract = "We report a phenomenon of collective dynamics on discrete-time complex networks: a random temporal interaction matrix even of zero or/and small average is able to significantly enhance synchronization with probability one. According to current knowledge, there is no verifiably sufficient criterion for the phenomenon. We use the standard method of synchronization analytics and the theory of stochastic processes to establish a criterion, by which we rigorously and accurately depict how synchronization occurring with probability one is affected by the statistical characteristics of the random temporal connections such as the strength and topology of the connections as well as their probability distributions. We also illustrate the enhancement phenomenon using physical and biological complex dynamical networks.",

author = "Shijie Zhou and Yao Guo and Maoxing Liu and Lai, {Ying Cheng} and Wei Lin",

note = "Funding Information: W.L. is supported by LMNS, LCNBI, the National Science Foundation of China (NSFC) Grants No. 11322111 and No. 61773125, and the National Key R&D Program of China Grant No. 2018YFC0116600. Y.-C.L. is supported by the Office of Naval Research through Grant No. N00014-16-1-2828. M.L. is supported by the NSFC Grants No. 11571324 and No. 11331009. Publisher Copyright: {\textcopyright} 2019 American Physical Society.",

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AU - Zhou, Shijie

AU - Guo, Yao

AU - Liu, Maoxing

AU - Lai, Ying Cheng

AU - Lin, Wei

N1 - Funding Information: W.L. is supported by LMNS, LCNBI, the National Science Foundation of China (NSFC) Grants No. 11322111 and No. 61773125, and the National Key R&D Program of China Grant No. 2018YFC0116600. Y.-C.L. is supported by the Office of Naval Research through Grant No. N00014-16-1-2828. M.L. is supported by the NSFC Grants No. 11571324 and No. 11331009. Publisher Copyright: © 2019 American Physical Society.

PY - 2019/9/4

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N2 - We report a phenomenon of collective dynamics on discrete-time complex networks: a random temporal interaction matrix even of zero or/and small average is able to significantly enhance synchronization with probability one. According to current knowledge, there is no verifiably sufficient criterion for the phenomenon. We use the standard method of synchronization analytics and the theory of stochastic processes to establish a criterion, by which we rigorously and accurately depict how synchronization occurring with probability one is affected by the statistical characteristics of the random temporal connections such as the strength and topology of the connections as well as their probability distributions. We also illustrate the enhancement phenomenon using physical and biological complex dynamical networks.

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Random temporal connections promote network synchronization

Abstract

ASJC Scopus subject areas

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