57 citations · 57 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…
math.DS2024
Computational Bifurcation Analysis
Harry Dankowicz, Jan Sieber
Bifurcation analysis collects techniques for characterizing the dependence of certain classes of solutions of a dynamical system on variations in problem parameters. Common solutio…
math.DS2008★ 57 cited
Dynamics of the Nearly Parametric Pendulum
B. Horton, J. Sieber, J. M. T. Thompson +1
Dynamically stable periodic rotations of a driven pendulum provide a unique mechanism for generating a uniform rotation from bounded excitations. This paper studies the effects of…