2023
DOI: 10.1007/s00332-023-09983-1
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Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations

K. U. Kristiansen

Abstract: In this paper, we provide a geometric analysis of a new hysteresis model that is based upon singular perturbations. Here hysteresis refers to a type of regularization of piecewise smooth differential equations where the past of a trajectory, in a small neighborhood of the discontinuity set, determines the vector-field at present. In fact, in the limit where the neighborhood of the discontinuity vanishes, hysteresis converges in an appropriate sense to Filippov’s sliding vector-field. Recently (2022), however, … Show more

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Cited by 2 publications
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