Oscillator-phase coupling for different two-dimensional network connectivities

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

Research output: Contribution to journalArticle

Abstract

We investigate the dynamics of large arrays of coupled phase oscillators driven by random intrinsic frequencies under a variety of coupling schemes, by computing the time-dependent cross-correlation function numerically for a two-dimensional array consisting of 128×128 oscillators as well as analytically for a simpler model. Our analysis shows that for overall equal interaction strength, a sparse-coupling scheme in which each oscillator is coupled to a small, randomly selected subset of its neighbors leads to a more rapid and robust phase locking than nearest-neighbor coupling or locally dense connection schemes.

Original languageEnglish (US)
Pages (from-to)6895-6904
Number of pages10
JournalPhysical Review A
Volume44
Issue number10
DOIs
StatePublished - 1991
Externally publishedYes

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oscillators
cross correlation
locking
set theory
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Oscillator-phase coupling for different two-dimensional network connectivities. / Niebur, Ernst; Schuster, Heinz G.; Kammen, Daniel M.; Koch, Christof.

In: Physical Review A, Vol. 44, No. 10, 1991, p. 6895-6904.

Research output: Contribution to journalArticle

Niebur, Ernst ; Schuster, Heinz G. ; Kammen, Daniel M. ; Koch, Christof. / Oscillator-phase coupling for different two-dimensional network connectivities. In: Physical Review A. 1991 ; Vol. 44, No. 10. pp. 6895-6904.
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