@Article{Difonzo2020,
author = "Difonzo, Fabio V.",
title = "A note on attractivity for the intersection of two discontinuity manifolds",
journal = "Opuscula Math.",
year = "2020",
volume = "40",
number = "6",
pages = "685--702",
doi = "https://doi.org/10.7494/OpMath.2020.40.6.685",
url = "https://doi.org/10.7494/OpMath.2020.40.6.685",
abstract = "In piecewise smooth dynamical systems, a co-dimension 2 discontinuity manifold can be attractive either through partial sliding or by spiraling. In this work we prove that both attractivity regimes can be analyzed by means of the moments solution, a spiraling bifurcation parameter and a novel attractivity parameter, which changes sign when attractivity switches from sliding to spiraling attractivity or vice-versa. We also study what happens at what we call attractivity transition points, showing that the spiraling bifurcation parameter is always zero at those points.",
keywords = "piecewise smooth systems, sliding motion, co-dimension 2, discontinuity manifold, attractivity",
issn = "1232-9274"
}