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Contraction of monotone phase-coupled oscillators

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Figure 1: The coupling function of monotone oscillators is discontinuous but satisfies the 2π-periodicity condition, so that Γ(0) = Γ(2π).
Figure 2: The distance (2) is interpreted as the total variation of the linear interpolation of the values x i − y i
Figure 3: The critical oscillators correspond to extremal values of ˜ θ j − ψ ˜ j .
Figure 4: N = 10 monotone phase-coupled oscillators exhibit two opposite asymptotic behaviors

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