For general regularizations of the planar visible fold, the paper proves existence and local uniqueness of a saddle-node bifurcation of limit cycles at the grazing parameter value, with distance scaling ε^{2k/(2k+1)}.
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The regularized visible fold revisited
For general regularizations of the planar visible fold, the paper proves existence and local uniqueness of a saddle-node bifurcation of limit cycles at the grazing parameter value, with distance scaling ε^{2k/(2k+1)}.