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Figure 9 | The Journal of Mathematical Neuroscience

Figure 9

From: The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability

Figure 9

Bifurcation diagram for \(\bar{\mathcal{S}}^{-}_{ \mathrm{osc}}\) in the case \(\beta _{\epsilon 0R} > 0\), \(C_{ \mathrm{det}} + \beta _{\epsilon 0R} > 0\) and \(\beta _{\epsilon 0R} > - C_{\mathrm{det}} + \sqrt{C^{2}_{\mathrm{det}} + \beta ^{2}_{\epsilon 0I}}\). The fixed point \(\bar{\mathcal{S}}^{-}_{\mathrm{osc}}\) appears at a supercritical pitchfork bifurcation of the origin in the s direction occurring at the curve \(C^{-}_{\mathrm{HB}}\) and undergoes a bifurcation at the curve \(\operatorname{Det}^{-}=0\)

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