Article ID Journal Published Year Pages File Type
4638967 Journal of Computational and Applied Mathematics 2014 19 Pages PDF
Abstract

We consider several possibilities on how to select a Filippov sliding vector field on a codimension 2 singularity surface ΣΣ, intersection of two codimension 1 surfaces. We discuss and compare several, old and new, approaches, under the assumption that ΣΣ is nodally attractive. Of specific interest is the selection of a smoothly varying Filippov sliding vector field. As a result of our analysis and experiments, the best candidates of the many possibilities explored are those based on the so-called barycentric coordinates. In the present context, one of these possibilities appear to be new.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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