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The Journal of Mathematical Neuroscience
Figure 1 | The Journal of Mathematical Neuroscience

Figure 1

From: Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales

Figure 1

Bifurcation diagrams for two versions of the Chay-Keizer model: the full five-dimensional model, Equations (15) and the reduced three-dimensional model obtained by setting m and h equal to their quasi-steady-state values. The position of the equilibrium solutions is the same in both models and is indicated by the pink dot-dash curve. The black dashed curve shows the maximum voltage attained on a branch of periodic solutions in the full model, while the red solid curve shows the maximum voltage attained on the corresponding branch of periodic orbits in the reduced model. (b) An enlargement of part of (a), near the left pair of Hopf bifurcations.

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