Random temporal connections promote network synchronization

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

Research output: Contribution to journalArticle

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 languageEnglish (US)
Article number032302
JournalPhysical Review E
Volume100
Issue number3
DOIs
StatePublished - Sep 4 2019

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synchronism
Synchronization
Complex Dynamical Networks
stochastic processes
Complex Networks
Stochastic Processes
Discrete-time
Probability Distribution
topology
Enhancement
Sufficient
Topology
augmentation
Zero
matrices
Interaction
interactions
Knowledge
Standards

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Random temporal connections promote network synchronization. / Zhou, Shijie; Guo, Yao; Liu, Maoxing; Lai, Ying Cheng; Lin, Wei.

In: Physical Review E, Vol. 100, No. 3, 032302, 04.09.2019.

Research output: Contribution to journalArticle

Zhou, Shijie ; Guo, Yao ; Liu, Maoxing ; Lai, Ying Cheng ; Lin, Wei. / Random temporal connections promote network synchronization. In: Physical Review E. 2019 ; Vol. 100, No. 3.
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