Journal of Mathematical Biology

, Volume 23, Issue 1, pp 55–74 | Cite as

The behavior of rings of coupled oscillators

  • G. B. Ermentrout


Coupled oscillators in a ring are studied using perturbation and numerical methods. Stability of waves with nearest neighbor weak coupling is shown for a class of simple oscillators. Linkens' [23] model for colorectal activity is analyzed and several stable modes are found. Stability of waves with general (non nearest neighbor coupling) is determined and comparisons to the nearest neighbor case are made. Approximate solutions to a ring with inhomogeneities are compared with numerical simulations.


Oscillators Waves Perturbation theory 


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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

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

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