Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles
Dynamical Systems
2021-07-14 v2
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 -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 -regularizations of boundary limit cycles with even multiplicity contact with the switching manifold.
Keywords
Cite
@article{arxiv.2003.09547,
title = {Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles},
author = {Douglas D. Novaes and Gabriel A. R. Vielma},
journal= {arXiv preprint arXiv:2003.09547},
year = {2021}
}