Journal of Mathematical Biology

, Volume 52, Issue 1, pp 115–140 | Cite as

Local network parameters can affect inter-network phase lags in central pattern generators

Article

Abstract

Weakly coupled phase oscillators and strongly coupled relaxation oscillators have different mechanisms for creating stable phase lags. Many oscillations in central pattern generators combine features of each type of coupling: local networks composed of strongly coupled relaxation oscillators are weakly coupled to similar local networks. This paper analyzes the phase lags produced by this combination of mechanisms and shows how the parameters of a local network, such as the decay time of inhibition, can affect the phase lags between the local networks. The analysis is motivated by the crayfish central pattern generator used for swimming, and uses techniques from geometrical singular perturbation theory.

Key words or phrases

coupled oscillators relaxation oscillations inter-network phase lags singular perturbation theory dynamical systems 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  1. 1.Athinoula A. Martinos Center for Biomedical ImagingMassachusetts General HospitalCharlestownUSA
  2. 2.Dept. of Mathematics and Center for BioDynamicsBoston UniversityBostonUSA

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