Regularization of saddle-fold singularity for nonsmooth differential systems
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Abstract
This paper is concerned with the saddle-fold singularity that is a codimension two singularity for piecewise smooth planar differential systems. The approach consists in apply the Regularization's Method to the unfolding of the saddle-fold singularity in order to obtain a 2-parameter family of smooth vector fields. Our main result says that the regularized family undergoes thought a classical Bogdanov–Takens bifurcation.
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Journal of Mathematical Analysis and Applications, v. 474, n. 2, p. 1036-1048, 2019.
