Oscillator-phase coupling for different two-dimensional network connectivities

Ernst Niebur, Heinz G. Schuster, Daniel M. Kammen, and Christof Koch
Phys. Rev. A 44, 6895 – Published 1 November 1991
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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.

  • Received 7 June 1991

DOI:https://doi.org/10.1103/PhysRevA.44.6895

©1991 American Physical Society

Authors & Affiliations

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

  • Computation and Neural Systems Program, California Institute of Technology 216-76, Pasadena, California 91125

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Vol. 44, Iss. 10 — November 1991

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