35 citations · 41 across the 3 of their papers we have counts for
3 papers
math.DS2025
Dynamics of singularly perturbed sliding flow in Filippov systems
Piotr Kowalczyk, Jan Sieber
In this article, we present an analysis of the effects of singular perturbations on the sliding motion in Filippov systems. We show that singular perturbations may lead to qualitat…
nlin.CD2016★ 6 cited
A novel route to a Hopf-bifurcation scenario in switched systems with dead zone
P. Kowalczyk
Planar switched system with dead-zone are analyzed. In particular, we consider the effects of perturbation of the linear control law from purely positional to position-velocity con…
nlin.CD2008★ 35 cited
Small-scale instabilities in dynamical systems with sliding
Jan Sieber, Piotr Kowalczyk
We demonstrate with a minimal example that in Filippov systems (dynamical systems governed by discontinuous but piecewise smooth vector fields) stable periodic motion with sliding…