Random heterogeneity outperforms design in network synchronization

Yuanzhao Zhang, Jorge L. Ocampo-Espindola, István Z. Kiss, Adilson E. Motter*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

A widely held assumption on network dynamics is that similar components are more likely to exhibit similar behavior than dissimilar ones and that generic differences among them are necessarily detrimental to synchronization. Here, we show that this assumption does not generally hold in oscillator networks when communication delays are present. We demonstrate, in particular, that random parameter heterogeneity among oscillators can consistently rescue the system from losing synchrony. This finding is supported by electrochemical-oscillator experiments performed on a multielectrode array network. Remarkably, at intermediate levels of heterogeneity, random mismatches are more effective in promoting synchronization than parameter assignments specifically designed to facilitate identical synchronization. Our results suggest that, rather than being eliminated or ignored, intrinsic disorder in technological and biological systems can be harnessed to help maintain coherence required for function.

Original languageEnglish (US)
Article numbere2024299118
JournalProceedings of the National Academy of Sciences of the United States of America
Volume118
Issue number21
DOIs
StatePublished - May 25 2021

Keywords

  • Electrochemical oscillators
  • Network dynamics
  • Nonlinear dynamics
  • Synchronization

ASJC Scopus subject areas

  • General

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