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Regularization of sliding global bifurcations derived from the local fold singularity of Filippov systems

Regularization of sliding global bifurcations derived from the local fold singularity of Filippov systems

In this paper we study the Sotomayor-Teixeira regularization of a general visible fold singularity of a planar Filippov system.Extending Geometric Fenichel Theory beyond the fold with asymptotic methods, we determine the deviation of the orbitsof the regularized system from the generalized solutions of the Filippov one.This result is applied to …