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Fig. 4 | The Journal of Mathematical Neuroscience

Fig. 4

From: Dynamical systems analysis of spike-adding mechanisms in transient bursts

Fig. 4

Critical manifolds for g SI =0.5615 mS/cm 2 embedded in the five-dimensional phase space of system (1). Shown are projections onto the ( h SI , m SO ,V)-coordinates; panels (a) and (b) show two different viewpoints of the surfaces of equilibria, coloured black when stable and red when not; from the same viewpoints, panels (c) and (d) also show maxima and minima with respect to V of the two-parameter families of periodic orbits, coloured blue when stable and magenta when not. The equilibrium manifold splits into six sheets, labelled S 1 a , S 1 r , S 2 a , S 2 r , S 3 r and S 3 a , that are separated by four fold curves, F 0 (not shown), F 1 , F 2 and F 3 , and a curve of Hopf bifurcations labelled H. The saddle and attracting families of periodic orbits are labelled P r and P a , respectively. See also Table 2.

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