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

Niebur, Ernst and Schuster, Heinz G. and Kammen, Daniel M. (1991) Collective frequencies and metastability in networks of limit-cycle oscillators with time delay. Physical Review Letters, 67 (20). pp. 2753-2756. ISSN 0031-9007. doi:10.1103/PhysRevLett.67.2753.

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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.

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Additional Information:Received 20 March 1991; published in the issue dated 11 November 1991. © 1991 The American Physical Society. We are grateful to D. Ruderman for writing part of the Connection Machine code. We would like to thank B. Ermentrout and H. Sompolinsky for stimulating conversations and C. Koch for his continuing support and encouragement. Part of the computations have been performed on the Caltech/ Argonne 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, and D.M.K. by the Division of Biology and grants from the Air Force Office of Scientific Research and a NSF Presidential Young Investigator Award (both to C. Koch).
Group:Koch Laboratory (KLAB)
Funding AgencyGrant Number
Swiss National Science Foundation8220-25941
Volkswagen FoundationUNSPECIFIED
Caltech. Division of BiologyUNSPECIFIED
U.S. Air Force Office of Scientific ResearchUNSPECIFIED
NSF Presidential Young Investigator AwardUNSPECIFIED
Issue or Number:20
Classification Code: PACS: 05.45.+b, 87.10.+e
Record Number:CaltechAUTHORS:20130816-103217567
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:40480
Deposited By: KLAB Import
Deposited On:26 Jan 2008 03:48
Last Modified:09 Nov 2021 23:49

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