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Oscillator-phase coupling for different two-dimensional network connectivities

Niebur, Ernst and Schuster, Heinz G. and Kammen, Daniel M. and Koch, Christof (1991) Oscillator-phase coupling for different two-dimensional network connectivities. Physical Review A, 44 (10). pp. 6895-6904. ISSN 1050-2947. doi:10.1103/PhysRevA.44.6895.

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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.

Item Type:Article
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Koch, Christof0000-0001-6482-8067
Additional Information:© 1991 The American Physical Society. Received 7 June 1991; published in the issue dated November 1991. We would like to thank D. Ruderman for developing and implementing part of the Connection Machine code, and H. Sompolinsky for stimulating discussions. Parts of the computations were performed on the CaltechArgonne Connection Machine. E.N. is supported by the Swiss National Science Foundation through Grant No. 8220-25941. H.G.S. is supported by the Volkswagen Foundation. D.M.K. received support from the Weizmann foundation. C. K. acknowledges support from the U. S. Air Force Office of Sponsored Research, from the NSF, and from the James S. McDonnell Foundation.
Group:Koch Laboratory (KLAB)
Funding AgencyGrant Number
Swiss National Science Foundation8220-25941
Volkswagen FoundationUNSPECIFIED
Weizmann FoundationUNSPECIFIED
U. S. Air Force Office of Sponsored ResearchUNSPECIFIED
James S. McDonnell FoundationUNSPECIFIED
Issue or Number:10
Classification Code: PACS: 42.66.-p, 87.22.-q, 05.20.-y
Record Number:CaltechAUTHORS:20130816-103218118
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:40482
Deposited By: KLAB Import
Deposited On:05 Feb 2008 23:42
Last Modified:09 Nov 2021 23:49

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