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The Journal of Mathematical Neuroscience
Fig. 15 | The Journal of Mathematical Neuroscience

Fig. 15

From: Fast–Slow Bursters in the Unfolding of a High Codimension Singularity and the Ultra-slow Transitions of Classes

Fig. 15

Effect of increasing the radius of the sphere. Bifurcation diagrams on spheres of different radius are topologically equivalent if \(R<0.5\) (A). For bigger values of the radius, Eq. (2) does not describe the unfolding of the codim-3 deg. TB singularity anymore, but the partial unfolding of the codim-4 doubly degenerate TB singularity. Different topologies of bifurcation curves appear as shown in B–E. For each of these stages we verified the existence of bursting paths. Paths for classes already existing for smaller values of R are shown as gray arrows, paths for new classes as black arrows

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