124 citations · 257 across the 19 of their papers we have counts for
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math.DS2015
Attractivity, degeneracy and codimension of a typical singularity in 3D piecewise smooth vector fields
Tiago de Carvalho, Marco Antonio Teixeira
We address the problem of understanding the dynamics around typical singular points of piecewise smooth vector fields. A model in presenting a T-singularity is cons…
math.DS2015★ 28 cited
Shilnikov problem in Filippov dynamical systems
Douglas D. Novaes, Marco A. Teixeira
In this paper we introduce the concept of sliding Shilnikov orbits for D Filippov systems. In short, such an orbit is a piecewise smooth closed curve, composed by Filippov traje…