Collective frequencies and metastability in networks of limit-cycle oscillators with time delay

Ernst Niebur, Heinz G. Schuster, Daniel M. Kammen

Research output: Contribution to journalArticlepeer-review

Abstract

We analyze the dynamic behavior of large two-dimensional systems of limit-cycle oscillators with random intrinsic frequencies that interact via time-delayed nearest-neighbor coupling. We find that even small delay times lead to a novel form of frequency depression where the system decays to stable states which oscillate at a delay and interaction-dependent reduced collective frequency. For greater delay or tighter coupling between oscillators we find metastable synchronized states that we describe analytically and numerically.

Original languageEnglish (US)
Pages (from-to)2753-2756
Number of pages4
JournalPhysical Review Letters
Volume67
Issue number20
DOIs
StatePublished - 1991

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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