A comparison of Filippov sliding vector fields in codimension 2

• Autores: Luca Dieci, Fabio Difonzo
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 262, Nº 1, 2014, págs. 161-179
• Idioma: inglés
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• Resumen

  • We consider several possibilities on how to select a Filippov sliding vector field on a codimension 2 singularity surface Ó, intersection of two codimension 1 surfaces. We discuss and compare several, old and new, approaches, under the assumption that Ó 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.