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Journal of Mathematical Biology

, Volume 22, Issue 1, pp 1–9 | Cite as

Synchronization in a pool of mutually coupled oscillators with random frequencies

  • G. Bard Ermentrout
Article

Abstract

An exact solution to a model of mutually interacting sinusoidal oscillators is found. Limits on the variation of the native frequencies are determined in order for synchronization to occur. These limits are computed for different distributions of native frequencies.

Key words

Oscillations phaselocking phase models all-to-all coupling 

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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • G. Bard Ermentrout
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of PittsburghPittsburghUSA

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