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arXiv · 2003.09547

Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles

Douglas D. Novaes·Gabriel A. R. Vielma
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Abstract

Understanding how tangential singularities evolve under smoothing processes was one of the first problem concerning regularization of Filippov systems. In this paper, we are interested in $C^n$-regularizations of Filippov systems around visible regular-tangential singularities of even multiplicity. More specifically, using Fenichel Theory and Blow-up Methods, we aim to understand how the trajectories of the regularized system transits through the region of regularization. We apply our results to investigate $C^n$-regularizations of boundary limit cycles with even multiplicity contact with the switching manifold.

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Douglas D. Novaes, Gabriel A. R. Vielma. 2020-03-21. Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles. https://doi.org/10.1088/1361-6544/ac04be

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