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- W2321967311 startingPage "2653" @default.
- W2321967311 abstract "We consider two identical oscillators with time delayed coupling, modelledby a system of delay differential equations. We reduce the system of delaydifferential equations to a phase model where the time delay enters as aphase shift. By analyzing the phase model, we show how the time delayaffects the stability of phase-locked periodic solutions and causesstability switching of in-phase and anti-phase solutions as the delayis increased. In particular, we show how the phase model can predict whenthe phase-flip bifurcation will occur in the original delay differentialequation model. The results of the phase model analysis are applied topairs of Morris-Lecar oscillators with diffusive or synaptic coupling andcompared with numerical studies of the full system of delay differentialequations." @default.
- W2321967311 created "2016-06-24" @default.
- W2321967311 creator A5058807780 @default.
- W2321967311 creator A5084724831 @default.
- W2321967311 date "2012-01-01" @default.
- W2321967311 modified "2023-10-14" @default.
- W2321967311 title "Phase models and oscillators with time delayed coupling" @default.
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- W2321967311 doi "https://doi.org/10.3934/dcds.2012.32.2653" @default.
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