Figure 5
From: Inferring the phase response curve from observation of a continuously perturbed oscillator
The dependence of errors of reconstruction ΔZ and Δψ, Eqs (10) and (12), on the chosen Poincaré section, determined by the threshold parameter θ (see Methods), for the van der Pol oscillator, Eq. (9). In (a,b) for each value of θ, 100 points corresponding to different realizations of noise are plotted with blue dots and their average in colors: ΔZ in green, Δψ in red (and \({{\rm{\Delta }}}_{{\psi }_{T}}\) in orange for reference). Shown in (c–e) are segments of signal for three values of θ. Variable x(t) in orange and the input p(t) in blue, scaled for being visually comparable. The times of zero phase tm are marked with vertical black lines and in red is the reconstructed phase. In (f–h) the corresponding PRC reconstructions are plotted with red. The true PRC is depicted with a thick gray curve. Parameters are \(\varepsilon \parallel Z\parallel =1\) and τ = 0.1.
