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Figure 15 | The Journal of Mathematical Neuroscience

Figure 15

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

Figure 15

Bifurcation diagram with parameters \(\mathcal{P}\) and \(b_{\mathrm{sp}}=0.03\) in (47) (corresponding to the case \(\beta _{\epsilon 0R} < 0\) and \(C_{\mathrm{det}} + \beta _{\epsilon 0R} > 0\), as described in Section 4.2). (A): Two-parameter bifurcation diagram in the \((\lambda ,\epsilon )\)-plane. Legends and labelling as in Fig. 14; TR: torus bifurcation. (B): One-parameter bifurcation diagram at \(\varepsilon =0.05\) showing the FP branch, IP branch and AP branch; dashed segments are unstable. The AP and IP branches bifurcate from the FP branch in subsequent Hopf bifurcations (bullet) for λ increasing. The AP branch loses stability in a pitchfork bifurcation (diamond). The IP branch is initially unstable and gains stability at a torus bifurcation (star)

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